Question

A rectangular container with a base of 24 inches by 15 inches is 1/3 filled with water. If all the water is poured into an empty rectangular container measuring 12 inches by 18 inches by 10 inches, it will fill the second container to its brim. What is the height of the first container?

Answer 1

18 inches

Explanation:

volume of a cuboid = length x breadth x height

the following equation can be derived from the question

let h = unknown height

1/3(24 x 15 x h) = (12 x 18 x 10)

Multiply both sides of the equation by 3

(24 x 15 x h) = (12 x 18 x 10) x 3

Divide both sides of the equation by (24 x 15)

h = 18 inches