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) simple

Answer 1

Step 1 — Cube:
- Side = height = 6 cm
- Volume = side^3 = 6^3 = 216 cm^3

Step 2 — Pyramid:
- Base area = area of cube face = 6^2 = 36 cm^2
- Height = 6 cm
- Volume = (1/3) × base area × height = (1/3) × 36 × 6 = 72 cm^3

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