A toy has various shaped objects that a child can push through matching holes. The area of the sq. Hole is 8 sq cm. The volume of a cube shaped block is 64 cubic cm. Will the block fit in the square hole?

Question

Mathematics

Beau Conway

4 April, 08:23

A toy has various shaped objects that a child can push through matching holes. The area of the sq. Hole is 8 sq cm. The volume of a cube shaped block is 64 cubic cm. Will the block fit in the square hole?

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Answers (1)

Know the Answer?

Aditya Davies · Answer 1

No

Step-by-step explanation:

The volume of a cube is the cube of the edge length, so the edge length of the cube-shaped block is ...

edge length = ∛ (64 cm³) = 4 cm

Then the smallest cross-section will be a square of edge length 4 cm, so will have an area of (4 cm) ² = 16 cm².

The 16 cm² shape will not fit through an 8 cm² hole.