Question

Volume online practice 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 dimensions of the pyramid base round the answer to the nearest hundredth if necessary.

25.27 cm
35 cm
105 cm
11.67 cm

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the missing dimension of the base of the rectangular pyramid, we can use the formula for the volume of a pyramid:

Volume = (1/3) * b * h

Given:
Volume = 22,750 cm^3
Dimension of base = 30 cm
Altitude = 65 cm

Substitute the known values into the formula:

22,750 = (1/3) * 30 * 65
22,750 = 650 * 10
22,750 = 6,500

Now solve for the missing dimension of the base (b):

b = (22,750 * 3) / (30 * 65)
b = 67,500 / 1950
b = 35 cm

Therefore, the missing dimension of the base of the pyramid is 35 cm.