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
is a perfect
cube,
the length of each edge of the
block
can be found. Each edge is
  
6 centimeters long.
Part 2
b. The area of one face of the block is
  
enter your response here square centimeters. Since this is
▼
larger
smaller
than the area of the​ hole, the block
▼
will not
will
fit in the hole.

Answer 1

a. Correct — 216 = 6^3, so each edge of the cube is 6 cm.

b. One face area = 6^2 = 36 cm². The square hole has area 12 cm² (side length √12 ≈ 3.46 cm), and 36 cm² (side 6 cm) is larger, so the block will not fit.