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SURFACE AREA OF PRISM-TRAPEZIUM HI guys I am going to show to you a phenomenal
and fantastic way to find the phases of this trapezium prism, what I am talking the surface
area, another words the space all over each individual exterior phase that is why we are
going to work out. Now this trapezium prism that is going to has 6 phase and we are going
to do it in five simple and straight forward steps. And now in order to work this out first
of all we are going a need to find the front phase first why? Because that is the trapezium
part is, see that trapezium parallel lines and two lines coming from out there we do
have vertical height perpendicular right there. So let us go to step no. 1, now before we
do that, all unit are all in meter, so the answer is going to be in meter squared so
let us find out the full scope of the entire space all over the skin of this trapezium
prism. Step no. 1, as I said earlier is to work out the phase this front one here is
a trapezium, let us work that out. So the formula for the area of a trapezium is, if
you do not recall it, you may want to revise it from the other chapter but feel free to
watch now as I go through it to lots of detail for you. So I got a ½ x the height, the height
has to be perpendicular height , there is that perpendicular height there happens to
be 5m. and the a + b are the two parallel lines top and bottom we got 10m across here
so that 10, that is also 10 there yeah can you see that? That is 1o equal because that
is 10 and the bottom here, the base we have 14m so that is going to have a and b respectively
so, let us plug in drag in drop those numbers into formula we can work out the trapezium
area of the front phase, by the way if the front phase comes to a certain amount the
back phase would be exactly the same. So let us work that out, vertical height 5 a across
here is 10, and b the base is 14. Ok let us point in our calculators, so it is going to
be a ½ x 5 times which is 2.5 times 10 + 14, 10 + 14 is 24, so multiplying all that
three out the area of the front phase all together in your calculator and is going to
yield 60m squared, ok that is the front phase which means that back phase is going to be
also 60m square let us put area back. Ok this is the area of the back we got the front and
the back and now where we goes to the right side of the phase, and the right side of the
phase is right over there you can see the slant length over there is 6 and the dept
is 7 all we need to do now length times breth and we will that out simple area of that breath
rectangle right there 6×7 is 42 so right side of the phase, area of the right equals 6×7
which equal 42m squared so there is the right side, now the right side is 42, the left side
guess what? The left side because it is symmetrical is exactly the same it is that also going
to be 42, so area left is equal to 42m squared, so we got the front we got the back, we got
the right, we got the left. Now let us work the area right at the top up there, what is
that area? So what is going to be 10 across there time the depth there is going to be
10 times the dept is written like this, 7 there, that is also 7 there so 1o x 7, that
is going to give us 70 so that is top phase there, area of top, now if the area of the
top is 70m squared, is the area of the bottom? Is no, let us have a look here, the bottom
is 14 across there and the depth is 7 across there so that is going to be 14×7 so area
for b, b for bottom=14×7 and that yields a total of 14×7 that is 98m squared and now
we have work out 6 phases, let us check if we got 6, one, two, three, four, five, and
six therefore we have all 6 phases all we have to do now is add them all together to
get the complete space surface space of this trapezium prism, so let us add them all together.
So, we have the two 60’s which are the areas of the front phase and the back phase, write
that up, and then we have the two 42’s which are the right and the left phase and then
we have finally the top which is up there which is 70 and the bottom under there 14×7
which is 98, ok, let us get our calculators out so we can work out the total, complete
and scope and size of skin and the exterior outside surface of this trapezium prism. In
our calculator 60+60+42+42+70+98 grand total, altogether the entire total complete surface
area is 372m squared. Take a minute to check out our website at
http://www.vividmaths.com. You will find additional resources, cheat sheets, transcripts and other
math videos that are not available on Youtube. Lastly, don’t forget to subscribe to get

(drill engine revs) (drum roll) (laughing) – We have good plans for today. We’re gonna eat breakfast,
get ready for the day, and we’re going to build something awesome and you guys can come with us. Oh my phone, thank you! Jenny’s still hanging out
with my sisters and mom doing like their girls’ day thingy, so it’s just you guys and me, and Adley. Get the vlog camera let’s go! Hey! Ooh! We’re ready. I put Adley in her bean baby outfit. (screeching) I don’t care if she wore it two days ago she looks cute so I put her in it again. And I’m wearing my baby Adley outfit! We’re going to be hanging out all day so we should be twinners, right? (laughing) First stop we’re going to the store. We gotta get some supplies. (baby cooing) (“Obtuse Angle” by RiFF RAFF) Jenny always uses this
thing when we go shopping she puts Adley in it but I
don’t know how to really use it. Okay, let’s go. Yeah, we’re at a toy store. Wow! Ooh! (baby cooing) Wow! Wow, wow! Do you want a dinosaur? Here. Octopus! What about this? Get you a piano? I think that’s a good idea. You’ll like it. So what we’re doing is,
you know the three rooms in the back of the new space station 1.5? One of those rooms we’ve decided
is going to be Adley’s room so every time she comes to
visit while we’re working, or if we need to get her
distracted or get stuff done, she can walk into that room
and play with all these toys. And that piano I just got, look, we can put that on the ground in the room and she can just walk on it and make noise and it will keep super distracted. Grandma and Grandpa have one
of these, and Adley loves it. It’s a popper, should we get that? Ooh! Another octopus! Told you she liked octopusses. Octopi? Octo… multiple octopus. Adley, should we get you a chair? These are kinda cute, do
you want an elephant chair? (buzzer) Do you want an owl chair? (buzzer) Do you want a fox chair? (buzzer) Don’t really know what Adley wants here. Do you want a Darth Vader chair? Ooh, do you want a Darth Vader chair? (buzzer) No? I was really hoping she
would pick this one. Ooh, should we do a princess chair? (chiming) Okay, she seemed excited
about the purple chair, let’s see if she likes it. Oh, you wanted to play with your toy? Is that so fun? Look what she wanted, it’s an octopus! Trains, “Be brave, be strong.” This one? (buzzer) Too bad, I already picked it! Oh my gosh, this is on sale. It’s a giant, giant, giant caterpillar. Do you like it? (multiple buzzers) Okay, Adley does not
like giant caterpillars. She keeps saying ball. We need to find her a
big ball or some balls, or those ball pit balls. Adley I think I found some balls, look. There’s princess ones,
some Minnie Mouse ones. Look, a ball! Ball? Finally found a toy she’s
excited about, a ball. Ahh, okay. Ball, yep. And we got our other stuff for the new Adley’s playstation 1.5. Yeah, probably good. Eww, don’t eat your toes! That’s gross! You’re funny. How does she even do that? If you can put your foot in
the only human I know that can do that. You’re gross. Yeah, you’re gross. You’re gross. Adley we’re home. We gotta do a quick pit stop at home because Adley needs a nap, huh? You wanna take a nap? Yeah. Jenny got home from her girl’s
night while Adley was alseep. So they’re at home chilling,
we’re going to build the Adley’s space station. Alright chicken, here’s the cutest part, are you ready? – [Chicken] Aww. – And when she comes to
visit us she’ll be so excited and will be able to play with her toys. And she’s play with this stuff instead of playing with this stuff. – Yeah, that’s important – Alright. I’m gonna try to put you guys up here so then you can look
down and watch Adley’s little space station get built. Okay. Try not to fall. (fast paced, high energy techno music) Alright, Merry Christmas Adley! I’m not buying you anything for Christmas because I just built you a space station. So yeah, we don’t normally
buy her this many toys, but it’s her Christmas I guess. Come test Adley’s space station. Pretend you’re Adley, like walk in, you kinda look like Adley
with that stupid hoodie on. – Hey, this is a cool hoodie. – [Dad] Okay Adley, go
look at your space station. – Ooh, ooh, ooh – [Dad] Ooh yeah, ball, yeah! Yeah, wait, notice your chair. Ooh wow! – I’m gonna break that. (laughing) – [Dad] Ooh look a piano, I wonder what happens
when you stand on it. Nothing I haven’t bought batteries. – You didn’t set it up. – I didn’t buy batteries yet. Ooh, I’ll go get Adley and Jenny later and I’ll bring them in. Jenny doesn’t even know I
did this, she’s gonna be like “Babe, why’d you buy her so many toys.” Oh look at this, sunset. I don’t know why I like
it so much but it’s like it’s cool because it’s in
between all the cables. I’m pretty sure I just saw Adley and Jenny while I was driving by, someone was pushing one of
those pink cars that Adley has, so they might be able to walk
over to the space station, I don’t know. What! Um, hello there! – Hi! – [Dad] What are you doing? – We’re walking to your work. – [Dad] It’s kinda late. – It wasn’t when they started. It took us 25 minutes – [Dad] Oh hi girls. 25 minutes? I think she wants to go in. – Let’s go in! – [Dad] It’s like she knows
there might be a surprise in there for her. Wait, don’t go crazy. See, the problem is babe, I don’t want her running around touching our computer cables and stuff. Where’s the baby suppose
to go in a space station? – Where is she suppose to go? – [Dad] Come here, come on! – Can you go in here? – [Dad] Check that out! Go over there! Wow! – Oh my gosh! You got her a chair? That’s so cute! – [Dad] Ball? Oh, what’s that? – This place is funner than our house. – Exactly. Oh! – Oh boy, I bet that makes noise. (toy rattling) – Ball? Ooh, a ball! Ball! That was the most excited she got the whole time we were shopping, when she saw that she freaked out. Let’s see if I can make a basket, ready? Watch, miss. Hey! Oh, balls! Balls, balls, balls! We hooked up the VR, it’s a huge space. I got some of my friends over here. We’re gonna be playing some VR tonight. Jake’s first time on a one wheel. Yep, good approach. Whoa, whoa, easy, easy! (laughing) The psychology of the car
being right there got to you. – [Jake] You gotta watch the car. – Ooh look at this sound system. (upbeat music) – [Chicken] You’re not even close dude, this room is huge. – [Dad] Alright, best of luck. – Achievements. (all laughing) (eerie music) (drill whirring) (all laughing) – [Chicken] Wait for it. (all cheering) – [Dad] Oh dude, that
sledge hammer though. – [Audio Clip] It’s a sledge hammer (fast paced, high energy techno music) (energetic, bouncy piano music) – Because Adley needs a nap. (horror movie high pitched screeching)

– Eight, nine, 10. – [Dad] Whoa, my boot fell off. Maybe it was my arm? – [Adley] It’s a arm! – [Dad] Oh no. We’ll fix it don’t worry. – Dad the Poppy song. – [Dad] The Poppy song? – Uh uh. – We should do jumpsuit because
you have your jumpsuit on. – Yeah. – [Dad] Should we do that? – It’s under my jacket. – Adley was asking me, how
we’re gonna start the vlog, ’cause I just got in the car, ’cause we’re going to tumbling. ‘Cause she said, dad are we vlogging? I said, I’m not vlogging today. And she said, please
can we vlog gymnastic? So, now we’re vlogging,
and welcome to another– – Best day ever! – [Dad] Okay here we go. Are you ready for this mom? (upbeat music) Are you ready for tumbling? – Yeah. – I’m ready to watch you tumble! Let’s go! Adley likes to listen to
Jumpsuit by Twenty One Pilots ’cause her tumbling suit, why does she call it a jumpsuit? Are those called a jumpsuit? – No, I think they’re
called like a leotard. – Why does she call hers a jumpsuit? – [Mom] I have no idea. – So she is like, I
want the jumpsuit song, because I got my jumpsuit
on and I’m about to tumble. – I wonder what I’m gonna learn. – [Dad] What do you
think your gonna learn? – I don’t know. – [Dad] You’re getting really good at all your stuff, huh? – Yeah, I’m gonna jump in the snow. – [Dad] Hey! Gotta stretch your legs
and get ready for tumbling. Big steps. Whoa. Good job. Yeah, yeah. Go go go go go. – [Mom] Hurry, hurry, hurry. Lift your feet. – [Dad] Alright, you’re ready. Go for it, go for it, go for it. – [Mom] Hey watch your steps. – She’s so cute, I love it. (upbeat music) – Over, all the way over. Awesome! (upbeat music) – She swung on the rope,
she was nervous about that ’cause she didn’t want to
fall on the foam blocks. (child screaming) I can’t tell if this like is
a real drill they’re doing, or if they’re just being weird. – Guys look how tired Niko is. Do those kisses make you sleepy? – He’s so tired. Oh I love him so much, he’s so cuddly. – Niko’s teething and not napping, huh? – Look at his teeth
guys, can you see them? – I think we should get some of these mats for the house, so we can practice. – I thought we have one. – No, we just have a flat one. – Oh the angled one. – [Mom] Yeah. – Let’s get tumbling mats. – It will be fun.
– That’s fun. I like tumbling. I wanted to do tumbling when
I was a kid, but I never did. – Me too.
– Wanted to be better at flips for snowboarding, and stuff. – [Mom] Yeah. – [Dad] Did you get a treat? – Yeah. – [Dad] Hey, you did awesome!
you so good at tumbling? Have you been practicing at home? – Yeah. – [Dad] What are we gonna do tonight? – I got fun question. – [Dad] A question? What’s your question? – I want to play with barbies. – [Dad] Play with barbies? – [Mom] That’s not a question. – That’s a fun idea, but Adley, you said you
wanted to vlog tonight. What should we do for the vlog? Do you guys got any ideas? Leave some comments of fun things we should do for the vlogs. – [Dad] Adley, what do
you think we should do? – I got another fun thing to do. – [Dad] What? – Let’s make pancakes. – [Dad] Pancakes? That would be fun. – Yeah. – We’ll keep thinking
of what the fun thing is to do tonight. We still have a couple
hours before bedtime. So fun incoming. You have any ideas? – I’ve got a good question. – [Dad] What? – Let’s play barbies. – [Dad] Stop, we’ve been going around this roundabout forever. One more lap, babe, right
when I started filming. That was like our third
lap around the roundabout. Adley was loving it. – This is when I see Elsa and Anna. – [Dad] I know, aren’t you so excited. This is our first time watching
the vlog, are you ready? – Uh huh. – [Dad] Get a bite first. – Pause it. – [Dad] Okay, pause it. Oh my gosh, we put on your gloves? So you didn’t freeze
things like Elsa, remember? How excited were you to see this vlog? – So excited. – [Dad] So excited, who made it? – Nick. – [Dad] Yeah, do you
think he did a good job? – Mm-hmm. – [Dad] Okay, let’s watch. Oh, you’re so cute. – I tooted. – Alright, you got, you tooted? Ew. Alright, you guys can
watch us watching the vlog. You guys are watching the vlog, watching us, watching another vlog. If only this vlog could watch you somehow. – Don’t you put that evil on me. – Heard the boys. – The boys came, yeah. – Boys. – Hi boys. – That’s too loud,
mommy, we gotta be quiet. – Yeah mom’s feeding
Niko, we gotta be quiet. Good call. – The tractor. – Yeah. – We played hide and seek. – Did Elsa make it, do you remember? – Yeah, she did. – That was so fun. Aw, you gonna give her a hugs? You’re so lucky. – We were all like warm hugs! (beep) – Hey, we found Holiday. Aw, remember when the lights came on? Nick, I like the princess
music, that was (pop), it made that moment special. It’s ov– (beep) – It’s over, its over guys! – It’s over guys, we tried
ready to watch this vlog, and then the other half just kicked in, and we went to barbie mode. Do you want to do barbies? – Yeah lets play barbies guys, let’s go! – Alright, hey, one more big bite. Good job. Barbie time, you guys are just
hanging out with us tonight. Normally its like a daily vlog. This is like an evening vlog, you get to know what I do
like, right after work, until bedtime. This is our family night routine. Adley makes all of the routine videos, we’ll do our first vlog routine. Mom and Niko are in there. We gotta be quiet because
Niko’s trying to sleep. – Maybe we try to shut the
door so we can be loud. – [Dad] Yeah, we can
shut the door to be loud. That’s a fun idea. Oh I still have my shoes
on, I gotta take those off. – You can’t kick me with your shoes on. (Shaun laughing) – [Dad] I can’t ever kick you. Hey will you help me take my shoes off, I’m holding the vlog. – Yeah, let me film. – [Dad] Oh you’re going to film? I was just trying to trick
you into taking my shoes off, but okay. Are you doing a good job filming? – [Adley] Yeah, look it. How I’m holding it. – [Dad] You’re holding it so good. – [Adley] I’m big and strong! – [Dad] Good job, alright should we– – These are Niko’s toys dad. – Yeah, the vlog helped us get that. Yo I read through the comments, so many people watched that
video like six times and stuff. I wonder how many views it has now. Brandon, pop up that video,
I bet it has lots of views. That’s all because you guys. Thank you. You bought Niko his first
little toy room area. And then the letter things, they didn’t even stay in Niko’s toy room because we’ve been using them everywhere. This vlog’s really dirty. Alright, I want to play some barbies. – Yeah. Barbie. – Pretty, who do you want me to me? – The daddy. – [Dad] Got it, yo what’s up, I am the daddy around these parts, if y’all need daddy, know who to ask. That’s me, hi, nice to meet ya. Hi what’s your name? – Arial. – [Dad] Hi Arial, I’m your daddy. Hello, hello. – There’s a tail.
– What? – There’s a tail too. – [Dad] Who’s gonna where
the tail, you or me? – Arial. – [Dad] Your a beautiful mermaid. Oh now your just a human. – It I broke, I can’t wear
it now, can you fix it dad? – [Dad] Who do you think
I am, tall chicken? – No. – [Dad] Tall chicken just
always fixes my computer. – Lets set it over here. – [Dad] Good idea. Oh hey, what’s up? Look at my dance moves. (upbeat music) – Watch my dance moves. (gentle music) – [Dad] Oh yeah, yeah so you
want to dance party with me? – Yeah. – [Dad] Okay, lets do it. – Let me go turn the colorful lights on. – [Dad] Oh yeah, colorful
lights are on, oh yeah Oh yeah, I’m dancing. Oh wait, is this a slow song. Hey, do you want to dance with me? – No its a fast song. – [Dad] Okay. (Shaun laughing) I love you so much. Lets just keep that
personality forever, okay? Alright, well what do you want to do now? – Its time for bed. – [Dad] Of course it
is, oh my gosh let’s go. Whoa, how did you jump up there? Wow your crazy, I gotta
take this elevator. Made it. What’s up, goodnight. – [Adley] Hey there’s a spot for him too. Morning time. – [Dad] Morning time, coming on down. – [Adley] You knocked the light down. – [Dad] Oh sorry about that. I hope you got the warranty. – Do you know how to jump down? – [Dad] No will you teach me? – You stand right here, and jump. – [Dad] Jump. Hey, that was fun. Do you want to jump off bigger stuff? – Yeah, we can jump up bigger. – [Dad] Holy cow I don’t dare,
do you think I can do it? – Maybe we can jump off. – [Dad] No way the roof? Oh my gosh this is like
title and thumbnail stuff. – One, two, three, four, five,
six, seven, eight, nine, 10. Whoa. – [Dad] My boot feel off. Maybe it was my arm? Oh no. We’ll fix it, don’t worry. – Fix it. – Okay, hey man, sorry about that. Shouldn’t have jumped off the roof. There’s a pin here. Nope, that’s a, is that
like a piece of food? I think that’s a piece of
food on my thumb or something. Yo Brandon, I think this is broken. – Yeah. – Its okay though, we can fix it. I’m gonna operate on him, and he’ll be just fine in the morning. Sound good? We’ll put that by the broken tail. We’ll fix both of those. – Today’s vlog, we’re
gonna, its my dads birthday. So we’re gonna surprise
him with some food. Look, there’s so much food. Were gonna, so were gonna surprise him. Okay we’re gonna, surprise him, and maybe he will be so happy. Okay. Let’s do it. Were going, were going. Start the car. We’re here. Daddy! We’re here. – [Dad] Hey. – I got the vlog. – [Dad] You got the vlog? Hey. – I got food for you. – [Dad] Oh and food. Is the vlog on? It is on. Babe, she turned it on. – [Mom] I don’t eat
potatoes, I’ll take the corn. – Daddy, what will you take?
– How’d you know how to turn this on? What will you take? – [Dad] I want a potato or a mushroom? Can I have cereal? – Okay. – [Dad] Thank you. Hey Niko bear. Eat the corn, here. – [Mom] Niko is not sleeping. – [Dad] How many naps did he have today? – Maybe like one little one. And he’s supposed to
have 4 hour long ones. – Your tired. Remember at tumbling, he didn’t even take a nap.
– Your cereal dad. – [Dad] Oh thank you. Oatey’os huh? That’s a binky? Hey, we need to get ready for bed. Do you want to say goodnight to the vlog? – Goodnight vlog. (upbeat music) – [Dad] Hey man, sorry about that. – [Woman] They ask you how you are. You just have to say your
fine, but your not really fine.