Question

Michelle creates a cube with a height of 6 centimeters. Her friend Tasha creates a square-based pyramid with the same height and base area as Michelle’s cube. Find the volume of Michelle’s cube and use it to find the volume of Tasha’s pyramid. Show all work.(4 points)

Answer 1

Step 1 — Michelle’s cube:
Side = height = 6 cm.
Base area = s^2 = 6^2 = 36 cm^2.
Volume (cube) = side^3 = 6^3 = 216 cm^3.
(Or Volume = base area × height = 36 × 6 = 216 cm^3.)

Step 2 — Tasha’s square-based pyramid:
Same base area B = 36 cm^2 and height h = 6 cm.
Volume (pyramid) = (1/3)·B·h = (1/3)·36·6 = (1/3)·216 = 72 cm^3.

Answers: Cube = 216 cm^3; Pyramid = 72 cm^3.