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Elaine is buying cube-shaped blocks to add to her mantle as a 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?

A. cubes with a volume of 216 in.³
B. cubes with a volume of 125 in.³
C. cubes with a volume of 64 in.³
D. both b and c would work

Which one is it show your work!

Respuesta :

Answer:

the answer is d: both b and c would work

Answer:

Hello your answer should be OPTION C.

Step-by-step explanation:

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

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

Solving for "s":

8 = 3√v

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

A. Substitute V  216 in.³ into 8 = 3√v then: 8 = 3√216 in.³ = 6 in    

B.Substitute   V =  125 in.³ into 8 = 3√v then: 8 = 3√ 125 in.³ = 5 in

C. Substitute   V =  64 in.³ into 8 = 3√v then: 8 = 3√ 64 in.³ = 4 in.

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

Hope this helped you! Good luck! Have a great day or night!