Question

The volume of a prism is found by multiplying the area of the base by the height. A rectangular prism has a volume of 144 cm3 , and a square base with a width of 3 cm. What is the height of the prism, in cm?

A. 4
B. 8
C. 48
D. 16

Answer 1

Okay so we have the equation

\[V = \text {area of base} \times height\]

Well we see that the base...is a square with width of 3....how do we find the area of a square?

Answer 2

Well the area of a square is length * width....we know a square has 4 equal sides so this is simply

\[\text {area of a square} = \text {length} \times \text{width} \ = 3 \times 3 = 9\]

So now that we know that area AND the volume...we can solve for the height

\[V = \text{area of base} \times height\]
\[144 = 9 \times height\]

What does height equal?

Answer 3

height = 16