A rectangular pyramid has a volume of 22, 750 cm". One of the dimensions of the base is 30 cm, and the altitude is 65 cm. What is the other dimension of the pyramid's base? Round the answer to the nearest hundredth if necessary.
(1 point)
• 105 cm
• 35 cm
• 25.27 cm
• 11.67
First, we can find the area of the base of the pyramid using the formula for the volume of a pyramid:
Volume = (1/3) * Base Area * Height
22,750 = (1/3) * Base Area * 65
Base Area = 105 * Base Dimensions
Next, we know one of the base dimensions is 30 cm. So, we can substitute this into the equation:
22,750 = (1/3) * (30) * (other dimension) * 65
22,750 = 650 * (other dimension)
other dimension = 22,750 / 650 = 35
Therefore, the other dimension of the pyramid's base is 35 cm. The closest answer choice is:
- 35 cm