The dimension of a rectangular base of a right pyramid is 9 cm by 5cm. If the volume of the pyramid is 105 cm\(^3\), how high is the pyramid?
Answer Details
The volume of a pyramid can be calculated using the formula:
V = (base area) * (height) / 3
We know the base area (9 cm x 5 cm = 45 cm\(^2\)), and the volume (105 cm\(^3\)), so we can rearrange the formula to solve for the height:
height = 3 * (volume) / (base area)
Plugging in the given values:
height = 3 * (105) / (45)
height = 7 cm
So the height of the pyramid is 7 cm.