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Kobotan [32]
4 years ago
7

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 o

f a cube shaped block is 64 cubic cm. Will the block fit in the square hole?
Mathematics
1 answer:
sveta [45]4 years ago
6 0

Answer:

  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.

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