Question

Mark has a container in the shape of a cube. He uses 64 cubes with side lengths of 1 inch to completely fill the container. What is the edge length of the container?

Answer 1

Answer:

4 inches is the edge length of the container.

Step-by-step explanation:

Length of the small cubes = a = 1 inch

Volume occupied each small cube = v = $a^3=(1 inch )^3= 1 inches^3$

Length of the big cube = A

Volume of the big cube = V

$V=A^3$

He uses 64 cubes with side lengths of 1 inch to completely fill the container.

$V=64\times v=64\times 1 inches^3$

$A^3=64\times 1 inch^3$

A = 4 inch

4 inches is the edge length of the container.

Answer 2

This means the area is 64 inches^2:

x * x = 64
x = 8

Hope this helps!