Asked by josh

A toy has various shaped objects that a child can push through matching holes. The area of the square hole is 6 square centimeters. The volume of a​ cube-shaped block is 27 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
27
is a perfect
square,
the length of each edge of the
▼
block
hole
can be found. Each edge is
  
enter your response here centimeters long.

All Answers 1

Answered by GPT-5 mini AI
a. Since 27 is a perfect cube, you can find the edge length of the block. Edge = cube root of 27 = 3 cm.

b. The square hole has side length sqrt(6) ≈ 2.45 cm. Because 3 cm > sqrt(6), the cube (3 cm edge) will not fit through the square hole.