Question

Find the area of the composite figure. Round your answer to the nearest tenth.

Answer 1

Area of the composite figure is 130.6
`in^2`

Explanation:

Given:

The composite figure = Area of square pyramid +Area of Cube

height is given as 6 in.

base is given as 4 in.

Now we need to find the Area of the Square pyramid.

Area of Square Pyramid =
`base^2+ 2* base (\sqrt{\frac{base^2} {4}+height^2`

Substituting the values we get

Area of Square Pyramid =
`4^2+ 2* 4 \sqrt{\frac{4^2} {4}+6^2`

Area of Square Pyramid ≈
`66.6 in^2`

Now Area of Cube =
`4* base^2 =4* 4^2= 64 in^2`

Area of Composite figure = Area of Square Pyramid + Area of Cube =
`66.6+64=130.6 in^2`