Suppose that there are two cubes, having edges 2 cm and 4 cm, respectively.

Question:

Suppose that there are two cubes, having edges 2 cm and 4 cm, respectively. Find the volumes V1 and V2 of the cubes and compare them.

Solution:

The edges of the two cubes are $2 \mathrm{~cm}$ and $4 \mathrm{~cm}$.

Volume of the cube of side $2 \mathrm{~cm}, \mathrm{~V}_{1}=(\text { side })^{3}=(2)^{3}=8 \mathrm{~cm}^{3}$

Volume of the cube of side $4 \mathrm{~cm}, \mathrm{~V}_{2}=(\text { side })^{3}=(4)^{3}=64 \mathrm{~cm}^{3}$

We observe the following:

$\mathrm{V}_{2}=64 \mathrm{~cm}^{3}=8 \times 8 \mathrm{~cm}^{3}=8 \times \mathrm{V}_{1}$

$\therefore \mathrm{V}_{2}=8 \mathrm{~V}_{1}$

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