Asked by John Deer
The length of the base of a box is 5 inches more than its width (w). The height of the box is 2 inches more than its width. Write an expression that represents the volume of the box.
Answers
Answered by
Bosnian
L = W + 5
H = W + 2
V = L * W * H
V = ( W + 5 ) * W * ( W + 2 )
V = ( W + 5 ) * ( W + 2 ) * W
V = ( W * W + 5 * W + 2 * W + 2 * 5 )
V = ( W ^ 2 + 5 W + 2 W + 10 ) * W
V = ( W ^ 2 + 7 W + 10 ) * W
V = W ^ 2 * W + 7 W * W + 10 * W
V = W ^ 3 + 7 W ^ 2 + 10 W
H = W + 2
V = L * W * H
V = ( W + 5 ) * W * ( W + 2 )
V = ( W + 5 ) * ( W + 2 ) * W
V = ( W * W + 5 * W + 2 * W + 2 * 5 )
V = ( W ^ 2 + 5 W + 2 W + 10 ) * W
V = ( W ^ 2 + 7 W + 10 ) * W
V = W ^ 2 * W + 7 W * W + 10 * W
V = W ^ 3 + 7 W ^ 2 + 10 W
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