In the figures below the cube-shaped box is 8 inches wide and the rectangular box is 10 inches long, 4 inches wide, and 4 inches high How much greater is the volume of the cube-shaped his a
rectangular box?
an
A. 50 cuble inches
B. 56 cubic inches
C. 60 cubic inches
D. 66 cuble inches

Respuesta :

The amount of volume the cube-shaped box is greater than the rectangular box is: B. 56 cubic inches.

How to Determine the Volume of a Cube-shaped Box?

The formula used to determine the volume of a cube is given as: V = a³, where a is the side length of the cube.

How to Determine the Volume of a Rectangular Box?

The formula used to determine the volume of a rectangular box is given as: V = (length)(width)(height).

Find the volume of the cube-shaped box:

Volume of the cube-shaped box = a³ = (6)³

Volume of the cube-shaped box = 216 in.³

Find the volume of the rectangular box:

Volume of the rectangular box = (length)(width)(height) = (10)(4)(4)

Volume of the rectangular box = 160 in.³

Find the difference between the volume of the rectangular box and the cube-shaped box:

Difference in volume = 216 - 160

Difference in volume = 56 cubic inches.

Therefore, the amount of volume the cube-shaped box is greater than the rectangular box is: B. 56 cubic inches.

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