Question

What is the surface area of this prism?



A.
1656 m2

B.
6480 m2

C.
3240 m2

D.
3312 m2

Answer 1

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Answer 2

First find the area of the two triangles.
Then find the area of the three rectangles.

And then add up all of the areas.

Answer 3

The two rectangles that are slanted have the same area.
The rectangle on the bottom has a different area.

Answer 4

Caint do it

Answer 5

Let's find the area of the two triangles. They both have the same area.

Area of a triangle = 1/2 * base * height

Can you tell me the base and height of the triangle?

Answer 6

The height is 12 And the base is 30

Answer 7

I think

Answer 8

No, look carefully. The height is 12. But what is the base?

Answer 9

It is 18

Answer 10

Correct.

Now we have two triangles.

Area = 1/2 * 18 * 12

What is the area?

Answer 11

Well 18*12 is 216 but how much is a Half

Answer 12

Multiplying by 1/2 is the same as dividing by 2.

So what is 216/2 = ?

Answer 13

108

Answer 14

Good.

Now we have two triangles.

That means the area of one triangle is 108, and the other is also 108.

108 + 108 = 2(108) = ??

Answer 15

216

Answer 16

So that's the area of the triangles.

Now, we need to find the area of the rectangles.

There are two rectangles with the same area. Let's take care of those first.

The length is 30 and the width is 15. What is the area?

Answer 17

450

Answer 18

And we have two triangles with that area.

What is 450 + 450 = ?

Answer 19

900

Answer 20

Ok, so we have the area of two rectangles and two triangles.

Area of 2 triangles = 216
Area of 2 rectangles = 900

Total area so far is 1116

Let's find the area of the last rectangle now!

The length is 30, and the width is 18. What is the area?

Answer 21

540

Answer 22

And what is

1116 + 540 = ?

Answer 23

1656

Answer 24

Thank you

Answer 25

It was my pleasure!