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.

Step-by-step 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.