Question

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The volume of a square prism is 64 cubic centimeters. What is the volume of a triangular pyramid with the same base area and height as the square prism? 64 cubic centimeters cubic centimeters 32 cubic centimeters

Answer 1

64/3 cc or 64/3 cm³

Explanation:

Answer 2

64/3 cc or 64/3 cm³

Explanation:

The formula for the volume of a triangular pyramid is

V = (1/3)(area of base)(height)

Here we have a square prism (actually, a cube), whose square base is 4 cm by 4 cm (4 cm is the cube root of 64 cc). The height of this cube is also 4 cm.

The volume of a triangular pyramid of base area (4 cm)² and height 4 cm is

V = (1/3)(base area)(height)

= (1/3)(16 cm²)(4 cm) = 64/3 cc