Question

PLEASE HELP I WILL GIVE YOU BRAINLEY CROWN

The volume of a rectangular prism is 162 cm
If the height is doubled, what is the new volume?

Answer 1

1296 cm³

Original Rectangle:

height : H

volume : 162 cm³

New Rectangle:

height : 2H

volume : x (let it be x)

Solve:

`\rightarrow \sf ((H)/(2H))^3 = (162)/(x)`

`\rightarrow \sf ((1)/(2))^3 = (162)/(x)`

`\rightarrow \sf x = 1296`

Answer 2

1296 cm³

Explanation:

Given

• Volume of original rectangular, V = 162 cm³
• V = lwh

Solving

• Here it is mentioned the height is doubled
• Therefore, h is now 2h
• Substitute in the volume formula
• V = lw(2h)³
• V = 8 x lwh
• V = 8 x 162
• V = 1296 cm³