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.

Question

asked Mar 17, 2021 206k views

2 Answers

Khalid Afridi · Answer 1 · 2021-03-21T21:27:35+0000

Answer:

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.