Question

A rectangular prism is 5 inches wide and 7 inches high. Its volume is 70 cubic inches. What is the length of the rectangular prism?

length = ___ inches

Answer 1

• Breadth=B=5in
• Height=H=7in
• Volume=V=70in^3
• Length=L

`\\ \sf\longmapsto V=LBH`

`\\ \sf\longmapsto 5(7)L=70`

`\\ \sf\longmapsto 35L=70`

`\\ \sf\longmapsto L=2in`

Answer 2

• 2 in

Explanation:

Given:

• w = 5 in
• h = 7 in
• V = 70 in³

The volume equation:

• V = lwh

Find the value of l:

• l = V/wh
• l = 70/(5*7)
• l = 2 in