Q:

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

Accepted Solution

A:
Answer: OPTION C.Step-by-step explanation: The volume of a cube can be calculated with the following formula: [tex]V=s^3[/tex] Where "s" is the length of each edge of the cube. Solving for "s": [tex]s=\sqrt[3]{V}[/tex] Let's check each option to find which volume would work according to the size she needs: A. Substitute [tex]V=216in^3[/tex] into [tex]s=\sqrt[3]{V}[/tex], then: [tex]s=\sqrt[3]{216in^3}=6in[/tex] B. Substitute [tex]V=125in^3[/tex] into [tex]s=\sqrt[3]{V}[/tex], then: [tex]s=\sqrt[3]{125in^3}=5in[/tex] C. Substitute [tex]V=64in^3[/tex] into [tex]s=\sqrt[3]{V}[/tex], then: [tex]s=\sqrt[3]{64in^3}=4in[/tex] Based on these results, we can determine that the cubes with a volume of [tex]64in^3[/tex] would work.