-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

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 class=

Respuesta :

Answer:

Step-by-step explanation:

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

For the cube, each side's area is [tex]s^{2}[/tex] with s being the side length. Since there are 5 sides, it would be 5 x  [tex]s^{2}[/tex]. 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 [tex]ft^{3}[/tex])