Answer:
9 ft.
Step-by-step explanation:
Rectangular Prism’s Volume:
[tex]\displaystyle \large{V=\sf{width*length*height}}[/tex]
Given:
width = 2.1 ft
length = 4 ft
height = j
volume = 75.6 cubic feet
Therefore, apply given information in the formula:
[tex]\displaystyle \large{75.6=2.1*4*j}\\\displaystyle \large{75.6=8.4j}[/tex]
Divide both sides by 8.4 to solve for j.
[tex]\displaystyle \large{\dfrac{75.6}{8.4}=\dfrac{8.4j}{8.4}}\\\displaystyle \large{\dfrac{75.6}{8.4}=j}\\\therefore \displaystyle \large{j=9}[/tex]
Henceforth, the value of j is 9 feet.
