Question

WHat is the correct answer?

Answer 1

9 ft.

Explanation:

Rectangular Prism’s Volume:

`\displaystyle \large{V=\sf{width*length*height}}`

Given:

width = 2.1 ft

length = 4 ft

height = j

volume = 75.6 cubic feet

Therefore, apply given information in the formula:

`\displaystyle \large{75.6=2.1*4*j}\\\displaystyle \large{75.6=8.4j}`

Divide both sides by 8.4 to solve for j.

`\displaystyle \large{(75.6)/(8.4)=(8.4j)/(8.4)}\\\displaystyle \large{(75.6)/(8.4)=j}\\\therefore \displaystyle \large{j=9}`

Henceforth, the value of j is 9 feet.