164k views
0 votes
A rectangular prism has a length of 12 cm and a width of 4 cm. If the volume of the prism is 240 cm3, what is the height?

2 Answers

6 votes
volume = length * width * height

240 = 12 * 4 * h

240= 48 * h

240/48 = 5

height is 5cm.
User Gnomet
by
9.0k points
3 votes
The height is 5 cm

Step-by-step explanation:
The formula for volume is v = lwh. (L is length, w is width, and h is height." Since we know the volume, the length, and the width, we can substitute those numbers in.

240 = (12)(4)h

Now we will solve this equation

1) Simplify the right side : multiply 4 x 12
240 = 48h

2) Since we want one h instead of 48, we divide 48 by both sides of the equation
240/48 = 48h/48
5 = h

Therefore, the height is 5 cm
User Atrakeur
by
8.2k points