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The cracker manufacturer is trying to determine the best dimensions for the boxes to hold their product so that they use the least amount of cardboard.

A rectangular prism with length of 6 inches, width of 4 inches, and height of 12 inches.A rectangular prism with length of 7 inches, width of 6 inches, and height of 9 inches.

Which box uses less cardboard, and how much less cardboard does it use?
The box on the right uses 30 inches squared less cardboard.
The box on the left uses 30 inches squared less cardboard.
The box on the right uses 90 inches squared less cardboard.
The box on the left uses 90 inches squared less cardboard.

Respuesta :

samanatha30hdz

Answer:B, the box on the left used 30 in square units less cardboard

Step-by-step explanation:

First Rectangular prism less card board.

The box on the left uses 90 inches squared less cardboard.

What is rectangular prism?

" A rectangular prism which has six rectangular faces, 12 edges and 8 vertices."

Formula used

Volume of rectangular prism = length × width × height

According to the question,

First rectangular prism

Length = 6inches

width = 4 inches

height = 12 inches

Volume of first rectangular prism = 6 × 4 × 12

                                                           = 288 cubic inches

Second rectangular prism

Length = 7inches

width = 6 inches

height = 9 inches

Volume of second rectangular prism = 7 × 6 × 9

                                                           = 378 cubic inches

Difference in the cardboard used = [tex]378 - 288[/tex]

                                                        = 90 cubic inches

Hence first Rectangular prism less card board. The box on the left uses 90 inches squared less cardboard.

Learn more about Rectangular prism here

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