Question

-9 ft.

Find the surface
area of the
composite figure
shown.
15 ft.
square feet
15 ft.
(Include the base of
the green cube in your
calculation.)
15 ft.
HELP

Answer 1

Explanation:

We need to find 5 sides of the cube and 4 sides of the pyramid.

For the cube, each side's area is
`s^(2)` with s being the side length. Since there are 5 sides, it would be 5 x
`s^(2)`. s=15, so it would be 5 x 15 x 15, which is 75 x 15 which simplifies into 1125.

For the pyramid, we need to find the area of all 4 triangles. They are all the same triangle, each with a base of 15 and a height of 9. So one triangle's area is 9 x 15/2 = 67.5 --> Since there are 4 triangles, the area of all of them would be 67.5 x 4 which is 270.

1125 + 270 = 1395 cubic ft. (or
`ft^(3)`)