Question

A toy has various shaped objects that a child can push through matching holes. The area of the square hole is 12 square centimeters. The volume of a​ cube-shaped block is 216 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
▼
216
12
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 216 is a perfect cube, the length of each edge of the block can be found. Each edge is ³√216 = 6 cm.

b. No. The square hole's side length is √12 = 2√3 ≈ 3.46 cm, which is less than the cube's edge 6 cm, so the block will not fit.