Question

BOXES A cardboard box company designs all of its boxes so that they have a depth of n, a height of 2n+1, and a width of 3n+2.

Answer 1

The volume of the box made by cardboard box company which has a depth of n, a height of 2n+1, and a width of 3n+2, is 6n³+7n²+2n

What is of volume of rectangular prism?

Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.

Volume of a rectangular prism is the product of its width, height and length.

V=w×h×l

Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.

A cardboard box company designs all of its boxes suc that they have the measure of depth of n, a height of 2n+1, and the measure of width of 3n+2.Thus, the volume of this box is,

V=w×h×l

V=(3n+2)×(2n+1)×(n)

V=(3n+2)×(2n²+n)

V=6n³+3n²+4n²+2n

V=6n³+7n²+2n

Thus, the volume of the box made by cardboard box company which has a depth of n, a height of 2n+1, and a width of 3n+2, is 6n³+7n²+2n

Learn more about the volume of a rectangular prism here;

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