Question

10. Elaine is buying cube shaped blocks to add to her mantle as decoration. She needs the dimensions of the cubes to be less than 5 inches along each edge. Which of the following would work according to the size she needs? ece of ch shows to find ? A. Cubes with a volume of 216 in.3 B. Cubes with a volume of 125 in.3 C. Cubes witha volume of 64 in.3 D. Both B and C would work

Answer 1

Answer: OPTION C.

Explanation:

The volume of a cube can be calculated with the following formula:

`V=s^3`

Where "s" is the length of each edge of the cube.

Solving for "s":

`s=\sqrt[3]{V}`

Let's check each option to find which volume would work according to the size she needs:

A. Substitute
`V=216in^3` into
`s=\sqrt[3]{V}`, then:

`s=\sqrt[3]{216in^3}=6in`

B. Substitute
`V=125in^3` into
`s=\sqrt[3]{V}`, then:

`s=\sqrt[3]{125in^3}=5in`

C. Substitute
`V=64in^3` into
`s=\sqrt[3]{V}`, then:

`s=\sqrt[3]{64in^3}=4in`

Based on these results, we can determine that the cubes with a volume of
`64in^3` would work.