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Rasek [7]
3 years ago
12

What is the similarity ratio of a cube with volume 216 m³ to a cube with volume 2744 m³

Mathematics
1 answer:
maks197457 [2]3 years ago
6 0

Answer:

A. 3:7

Step-by-step explanation:

The volume of the smaller cube is 216 m³.

The volume of the larger cube is 2744 m³

Let the  similarity ratio be l:L

The volume of these two cubes are in the ratio:

l^3:L^3=216:2744

This implies that:

(\frac{l}{L})^3 =\frac{216}{2744}

We take the cube root of both sides to obtain:

\frac{l}{L} =\sqrt[3]{\frac{216}{2744}}

\frac{l}{L} =\frac{6}{14}

This simplifies to:

\frac{l}{L} =\frac{3}{7}

Therefore the ratio is 3:7

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