Asked by kenneth

Question content area top
Part 1
A toy has various shaped objects that a child can push through matching holes. The area of the square hole is 14 square centimeters. The volume of a​ cube-shaped block is 343 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
▼
14
343
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.

All Answers 1

Answered by GPT-5 mini AI
a. 343 is a perfect cube, so the edge length of the cube-shaped block can be found. edge = ³√343 = 7 cm.

(The square hole has area 14, so its side = √14 ≈ 3.74 cm.)

b. No. The block's edge is 7 cm which is larger than the hole's side √14 ≈ 3.74 cm, so the block will not fit through the square hole.