The volume of a pyramid is \( \frac{1}{3} \times \text{base area} \times \text{height} \)
Given that the volume of the pyramid is 20 cm^3 and the base area is 15 cm^2 (which is the same as the base area of the rectangular prism), we have
\( \frac{1}{3} \times 15 \times \text{height} = 20 \)
\( 5 \times \text{height} = 20 \)
\( \text{height} = 4 \)
Therefore, the height of the rectangular prism is 4 cm.
A rectangular prism has a base area of 15 cm2
, and pyramid with a congruent base and height has a volume of 20 cm3
. What is the height of the rectangular prism?(1 point)
Responses
4 cm
4 cm
20 cm
20 cm
43 cm
Start Fraction 4 over 3 End Fraction cm
5 cm
1 answer
1 answer