Question

Only answer number one and what is the total surface area

Answer 1

Base: A =
`5^(2)` = 25 cm^2

Face: A =
`(1)/(2)` (5) (8) = 20 cm^2

Surface area of pyramid: S = 25 + 4 * 20

= 25 + 80 = 105 cm^2

Explanation:

To find the surface area we have to find the area of the base and the sides and add them together.

To find the area of the base:

Since the base is a square, all we have to do is multiply the length by itself.

5 * 5 = 25 square cm

To find the area of the sides:

Since the sides are triangles, we have to multiply the length by the height and divide by 2.

8 * 5 = 40

40/2 = 20

The area of one side is 20 square cm

To find the total surface area:

Add together the area from the base and all four sides.

4 (20) + 25 = surface area

80 + 25

105 = surface area

The surface area is 105 square cm.