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
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