Question

Find the surface area of this composite solid.

Answer 1

Answer: C

Step-by-step explanation:

The surface area of a pyramid = A + 1/2ps

Where A = area of the base

P = perimeter of base

S = slant height.

A = 4 × 4 = 16 m^2

P = 4L = 4 × 4 = 16 m

S = 3m

Surface area = 16 + 1/2 × 16 × 3

Surface area = 16 + 24

Pyramid surface area = 40 m^2

The surface area of the cuboid = LB + 2LH + 2BH

Where

B = width

H = height

L = length

Substitute all the parameters into the formula

Surface area = 4×4 + 2(4×5) + 2(4×5)

Surface area = 16 + 40 + 40

Surface area = 96 m^2

To Find the surface area of this composite solid, you will add the pyramid surface area to the cuboid surface area. That is

Total surface area = 40 + 96 = 136m^2

Therefore, the surface area of this composite solid is 136 cubic meters