A pet shop had 8 identical fish tanks in the shape of rectangular prisms. The width and height of each tank was (x - 7) inches and the length was 8 inches more than its width. The expression below shows the maximum amount of water which all the tanks together can hold.

8(x + 1)(x - 7)to the 2nd power

What does the factor (x + 1)(x – 7)to the 2nd power represent?

Question

A pet shop had 8 identical fish tanks in the shape of rectangular prisms. The width and height of each tank was (x - 7) inches and the length was 8 inches more than its width. The expression below shows the maximum amount of water which all the tanks together can hold.

8(x + 1)(x - 7)to the 2nd power

What does the factor (x + 1)(x – 7)to the 2nd power represent?

anonymous · Answer

Help!

ranga · Answer

Volume = L * W * H
W = (x-7)
H = (x-7)
L = W + 8 = x - 7 + 8 = x + 1
L = (x+1)

Volume of one fish tank = L * W * H = (x+1) * (x-7) * (x-7) = (x+1)(x-7)^2