height of a rectangular prism

• Apr 22nd 2008, 03:17 PM
jwein4492
height of a rectangular prism
I need to find the height of a rectangle prism the measurments are the area of base =20 sq. cm and the volume is 40 cm3
• Apr 22nd 2008, 05:00 PM
Mathstud28
Quote:

Originally Posted by jwein4492
I need to find the height of a rectangle prism the measurments are the area of base =20 sq. cm and the volume is 40 cm3

$\displaystyle V_{prism}=l\cdot{w}\cdot{h}$

$\displaystyle A_{base}l\cdot{w}=20$ make as substitution

$\displaystyle V_{prism}=40=20\cdot{h}\Rightarrow{h=2}$
• Apr 22nd 2008, 05:04 PM
Jen
Quote:

Originally Posted by jwein4492
I need to find the height of a rectangle prism the measurments are the area of base =20 sq. cm and the volume is 40 cm3

The volume of a rectangular prism is v=lwh

We are given the area of the base which takes care of the length and width so now we have,

$\displaystyle 40cm^3=20cm^2*h$

So to isolate the height we divide both sides by $\displaystyle 20cm^2$ which gives us,

$\displaystyle \frac{40cm^3}{20cm^2}=h=2cm$