We can use the formula for the volume of a pyramid:
V = (1/3)Bh
where B is the area of the base, h is the height (altitude), and V is the volume.
We know that V = 22,750 cm^3 and h = 65 cm. We also know that one dimension of the base is 30 cm (we'll call this length a), so the area of the base (B) is:
B = a x b
where b is the other dimension of the base.
We can rewrite the formula for the volume of the pyramid as:
B = (3V)/h
Plugging in the values we know:
b = (3(22,750 cm^3))/65 cm
b ≈ 263.08 cm
Rounding to the nearest hundredth:
b ≈ 263.08 cm ≈ 263.09 cm
Therefore, the other dimension of the pyramid's base is approximately 263.09 cm.
A rectangular Pyramid has a volume of 22,750cm. 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.
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