Question

A glass fish tank in the shape of a rectangular prism has a base that measures 22 inches by 12 inches. If the tank can hold a maximum of 3960 cubic inches of water, how much glass was used to construct the tank?

Answer 1

582.74 square inches of glass is required to construct the tank

Explanation:

Base dimensions= 22 x 12 inches

Volume of the fish tank = 3960 cubic inches

Volume = l x w x h

3960 = 22 x 12 x h

h = 3960 /(22 x 12)

h = 3960/462

h = 8.57 inches

The glass used = lateral surface area of the rectangular prism

= 2(lh + wl)

= 2(188.57 + 102.8)

= 2(291.37)

= 582.74 square inches

582.74 square inches of glass is required to construct the tank