Question

Step 1 — Michelle's cube:
Side = height = 6 cm.
Base area = s^2 = 6^2 = 36 cm^2.
Volume of cube = side3 = 63 = 216 cm3
Or Volume = base area × height = 36 × 6 = 216 cm3.

Step 2 — Tasha's square-based pyramid:
Same base area B = 36 cm2 and height h = 6 cm.

Volume (pyramid) = (1/3)·B·h = (1/3)·36·6 = (1/3)·216 = 72 cm3. Answers: Cube = 216 cm3; Pyramid = 72 cm3.

Answer 1

Correct.

Michelle's cube:
- side = 6 cm → base area = 6^2 = 36 cm^2.
- Volume = side^3 = 6^3 = 216 cm^3 (or base area × height = 36 × 6 = 216 cm^3).

Tasha's square-based pyramid (same base and height):
- Volume = (1/3)·B·h = (1/3)·36·6 = (1/3)·216 = 72 cm^3.

So Cube = 216 cm^3; Pyramid = 72 cm^3.