Question

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
▼
10
125
is a perfect
▼
cube,
square,
the length of each edge of the
▼
hole
block
can be found. Each edge is
  
enter your response here centimeters long.

Answer 1

a. Since 125 is a perfect cube, the length of each edge of the block can be found. Each edge is 5 centimeters long. (125 = 5^3)

b. No. The square hole has side length sqrt(10) ≈ 3.16 cm, which is less than the block's edge 5 cm, so the block will not fit.