Question

Gabriel wants to paint the model. How

much paint will he need?

The area of the square base is in.?

The area of each triangular face is

in.

Gabriel will need in.2 of paint.

Answer 1

144 66 408

Explanation:

Answer 2

The area of the base is 144 square inches.

The area of each triangular face is 66 square inches.

Grabiel needs 408 square inches of paint.

Explanation:

The complete problem is attached.

Notice that the figure is a square pyramid, where its base dimensions are 12 inches by 12 inches, which represents an area of

`B=12 * 12 = 144 \ in^(2)`

The slant height of the pyramid is 11 inches, which allow us to find the area of each triangle face

`A=(1)/(2)bh =(1)/(2)(12)(11)= 66 \ in^(2)`

But there are four triangle faces, so
`A_(faces) =4(66)=264 \ in^(2)`.

Therefore, the area of each triangular face is 66 square inches.

So, the total surface area would be the sum

`S=144+264=408 \ in^(2)`

Therefore, Gabriel needs 408 square inches to paint the whole model.