How many cubes of side 3 cm can be cut from the cube of side 18 cm?

150

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180

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206

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216

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Solution

The correct option is D 216
Side of smaller cube = 3 cm
Side of bigger cube = 18 cm

Volume bigger cube = Number of cubes $\times$ Volume of smaller cube

Number of cubes = $\frac{V o l u m e b i g g e r c u b e}{V o l u m e o f s m a l l e r c u b e}$
Number of cubes = $\frac{18 \times 18 \times 18}{3 \times 3 \times 3}$
Number of cubes = 216

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