Consider the pyramid. 10 mm 8 mm 8 mm (a) Draw and label a net for the pyramid, (b) Determine the surface area of the pyramid. Show your work.

Question

asked Mar 6, 2023 163k views

1 Answer

Osy · Answer 1 · 2023-03-10T12:35:48+0000

Given:

A pyramid. 10 mm, 8 mm, and 8 mm

(a) Draw and label a net for the pyramid

The figure will be as shown:

(b) Determine the surface area of the pyramid

We will use the following formula to find the total surface area:

$Surface\text{ }Area=A+(1)/(2)ps$

where: A is the base area, (p) is the perimeter of the base, (s) slant height

The base has a square shape with a side length = 8 mm

The slant height = 10 mm

substitute into the formula of the surface area:

$SA=8*8+(1)/(2)*(4*8)*10=224\text{ }mm^2$

So, the answer will be:

The surface area = 224 mm²