Cubics, squares.

**Going Postal** · June 11th 2007, 11:02 AM

The problem:

The volume of a rectangular box is 192 centimeters. What is the height of the box if the area of the base is 48 square centimeters.

How do I solve this? Am I supposed to turn the square centimeters into cubic CMs? If so, how? (I know to find the volume of a rectangle to go V=lw) Am I even on the right track?

Basically I have no idea what in the world I'm doing.

**earboth** · June 11th 2007, 11:27 AM

Originally Posted by Going Postal

The problem:
The volume of a rectangular box is 192 centimeters. What is the height of the box if the area of the base is 48 square centimeters.
How do I solve this? Am I supposed to turn the square centimeters into cubic CMs? If so, how? (I know to find the volume of a rectangle to go V=lw) Am I even on the right track?...

Hello,

the volume of a cuboid is calculated by:

$V = \underbrace{length \cdot width}_{\text{base area}} \cdot height$

Plug in the values you already know into the above given equation:

$192 cm^3 = 48 cm^2 \cdot height\ \Longrightarrow \ height = \frac{192 cm^3}{48 cm^2} = 4 cm$

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