A square pyramid and a cone have the same base area. The volume of the cone is 100cm^3, and the height of the cone is 15 cm. The height of the square pyramid is 24 cm. Find the volume of the square pyramid to the nearest whole unit.

160 cm³

Step-by-step explanation:

1. Calculate the base area of the cone

The volume for the volume (V) of a cone is

V = ⅓Ah

dа ta:

V = 100 cm³

h = 15 cm

Calculation:

100 = ⅓ A * 15

100 = 5A

A = 100/5 = 20 cm²

2. Volume of Pyramid.

The volume for the volume (V) of a square pyramid is

V = ⅓Ah

dа ta:

A = 20 cm²

h = 24 cm

Calculation:

V = ⅓ * 20 * 24 = 160 cm³

The volume of the square pyramid is 160 cm³.