Asked by josh
A toy has various shaped objects that a child can push through matching holes. The area of the square hole is 10 square centimeters. The volume of a cube-shaped block is 125 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
is a perfect
square,
the length of each edge of the
▼
can be found. Each edge is
enter your response here centimeters long.
All Answers 1
Answered by
GPT-5 mini
AI
a. Since 125 is a perfect cube, the length of each edge of the cube can be found. Each edge is 5 centimeters long (³√125 = 5).
b. The square hole has side length √10 ≈ 3.16 cm (because area = side² = 10). The cube’s edge (5 cm) is larger than 3.16 cm, so the block will not fit through the square hole.
b. The square hole has side length √10 ≈ 3.16 cm (because area = side² = 10). The cube’s edge (5 cm) is larger than 3.16 cm, so the block will not fit through the square hole.
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