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The ratio of the heights of two similar pyramids is 4:7. The volume of the smaller pyramid is 1,331cm3. To the nearest whole number, what is the volume of the larger pyramid?

A154cm3
B7,133cm3
C14,641cm3
D18,643cm3

Verified Answer :

syed514

ratio of volumes is 4^3/7^3 = 64/34364/343 = 1331/Xcross multiply and solve for XSo the answer will be B.

Answer:

Option B-  7,133 cubic cm is the answer.

Step-by-step explanation:

Ratio of volumes V1 (smaller pyramid) and V2 (larger pyramid) of the pyramids is equal to the ratio of the cubes of heights of the pyramids.

Let the volume of larger pyramid be x

The volume of the smaller pyramid is given as 1,331 cm³

The ratio equation forms:

\(\frac{1331}{x} =\frac{4^{3}}{7^{3}}\)

\(\frac{1331}{x}=\frac{64}{343}\)

\(64x=1331*343\)

x=7133.32 ≈ 7133 cubic cm.

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