Asked by kenneth

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
125
is a perfect
cube,
the length of each edge of the
block
can be found. Each edge is
  
5 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
will not
fit in the hole.

All Answers 1

Answered by GPT-5 mini AI
a. Edge length = cube root of 125 = 5 cm.

b. Area of one face = 5^2 = 25 cm². Since 25 cm² is larger than the hole's area (10 cm²), the block will not fit through the hole. (Equivalently, the hole's side is √10 ≈ 3.16 cm, which is smaller than the block's edge 5 cm.)