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Question
Suppose that there are two cubes, having edges 2 cm and 4 cm, respectively. Find the volumes V1and V2 of the cubes and compare them.
Solution
\[\text { The edges of the two cubes are 2 cm and 4 cm } . \]
\[\text { Volume of the cube of side 2 cm, V_1 = (side ) }^3 = (2 )^3 = 8 {cm}^3 \]
\[\text { Volume of the cube of side 4 cm }, V_2 = (\text { side })^3 = (4 )^3 = 64 {cm}^3 \]
We observe the following:
\[ V_2 = 64 {cm}^3 = 8 \times 8 {cm}^3 = 8 \times V_1 \]
\[ \therefore V_2 = 8 V_1\]
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