Question

An open topped fish tank had a length if 60 inches, width if 14 1/2 inches and height if 15 inches. What is the volume of the water in the tank if the tank is 2/3 filled

Answer 1

8700 cubic inches, about 37.66 gallons

Explanation:

The volume of a rectilinear space is the product of its length, width, and height. So, the volume of the tank is ...

V = L·W·H

V = (60 in)(14 1/2 in)(15 in) = 13050 in³

Since the tank is 2/3 filled, the volume of the water is ...

water volume = (2/3)V = 2/3 × 13,050 in³ = 8,700 in³

_____

There are 231 in³ in a gallon, so the number of gallons of water in the tank is ...

(8700 in³)/(231 in³/gal) ≈ 37.66 gal