The storage container below is in the shape of a rectangular prism with a height of 6 feet and a length that is 2 feet more than its width.

Recall that the formula for the volume of a rectangular prism is V = l · w · h, where l is the length, w is the width, and h is the height.

Write the equation that represents the volume of the storage container in terms of its width.

Respuesta :

The equation that represents the volume of the storage container(rectangular prism) in terms of its width is 12w + 6w²

How to find the volume of a rectangular prism?

volume of a rectangular prism = lwh

where

  • l = length
  • w = width
  • h = height

Therefore,

h = 6 ft

l = 2 + w

Hence,

volume of the rectangular prism = (2 + w) × w × 6

volume of the rectangular prism = (2w + w²)6

volume of the rectangular prism = 12w + 6w²

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