Question

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.

Answer 1

V = 6w² + 12w

Explanation:

Answer 2

Let
l ------------------> is the length
w -----------------> is the width
h ----------------- > is the height
we know that
h=6 ft
l=2+w
[the volume of the storage ]=[l]*[w]*[h]------> [2+w]*[w]*[6]
[the volume of the storage ]=[l]*[w]*[h]------> 6*[2w+w²]-----> 6w²+12w

the answer is
V=[6w²+12w] ft²