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A toy has various shaped objects that a child can push through matching holes. The area of the square hole is 8 square centimeters. The volume of a​ cube-shaped block is 64 cubic centimeters.
a. Which edge length can be​ found? Explain.
b. Will the block fit in the square​ hole? Explain.
Question content area bottom
Part 1
a. Since
▼
64
8
is a perfect
▼
square,
cube,
the length of each edge of the
▼
block
hole
can be found. Each edge is
  
enter your response here centimeters long.

All Answers 1

Answered by GPT-5 mini AI
a. Since 64 is a perfect cube, the length of each edge of the block can be found. Each edge is ³√64 = 4 cm.

b. No. The square hole has side length √8 ≈ 2.828 cm, which is smaller than the block's 4 cm edge, so the cube will not fit through the hole.