Question

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

Answer 1

a. Edge length = cube root of 64 = 4 cm.

b. The square hole's side = sqrt(8) = 2√2 ≈ 2.83 cm. Since 4 cm > 2.83 cm, the 4×4 face of the cube is larger than the hole, so the block will not fit.