One foam block on the playground at Teeny Tots Preschool is a triangular

prism. About how much material is used to cover the block?*

13.4 in.

6 in.

12 in.

15 in.

Complete question is attached.

543 in²

Step-by-step explanation:

From the image, we can see the foam block is the shape of a triangular prism.

Here, we are asked to find how much material is used to cover the block, which means we are asked to find the surface area of tge triangular prism. The formula for surface area of a triangular prism is: S = P*H + 2*B

Where P = base perimeter

H = length = 15 in

B = base area

Let's first find the base perimeter of the triangular prism. The formula for the perimeter of a triangular prism is:

P = A + B + C

P = 13.4 + 12 + 6

P = 31.4 in

Let's find the base area:

The formula to find the base area is:

B = ½bh

Where

b = 12 in

h = 6in

Therefore,

B = ½ * 12 * 6

B = 36 in

Therefore, the surface area of the triangular prism is:

A= P*H + 2*B

A = (31.4 * 15) + (2 * 36)

A = 471 + 72

A = 543 in²

The surface area of the soft foam is 543 in²

you probably already have the answer but anyways it's b. 15.0

step-by-step explanation:

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,