Question

Elaine is buying cube shaped blocks for a craft project. She needs the dimensions to the cubes to be less than 5 inches along each edge. Which of the following would work according to the size she needs?A. Cubes with a volume of 216 in³B. Cubes with a volume of 125 in³C. Cubes with a volume of 64 in³D. Both B and C would work

Answer 1

Answer: To determine if a cube with a given volume is suitable for Elaine's project, we need to check if the edge length of the cube is less than 5 inches.

The formula for the volume of a cube is V = s^3, where s represents the length of each side of the cube.

Let's calculate the edge length for each given volume option:

A. Cubes with a volume of 216 in³:

Taking the cube root of 216, we get ∛216 = 6. This means each side of the cube is 6 inches long. Since 6 is not less than 5, option A does not work.

B. Cubes with a volume of 125 in³:

∛125 = 5. This means each side of the cube is 5 inches long. Since 5 is equal to 5, option B does work.

C. Cubes with a volume of 64 in³:

∛64 = 4. This means each side of the cube is 4 inches long. Since 4 is less than 5, option C does work.

D. Both B and C would work:

Based on the analysis above, option B (volume of 125 in³) and option C (volume of 64 in³) both have edge lengths less than 5 inches, so they would work for Elaine's project.

Therefore, the correct answer is D. Both B and C would work.