Question

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.

Answer 1

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