The diagram below shows a cube with sides of length 30 cm. A smaller cube with sides of length 5 cm has been cut out of the larger cube. What is the volume of the shape that is left?

26875 c m^{3}

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2675 c m^{3}

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28765 c m^{3}

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275 c m^{3}

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Solution

The correct option is A $26875 c m^{3}$

$V o l u m e o f b i g g e r c u b e$
$= 30 \times 30 \times 30 = 27000 c m^{3}$
$V o l u m e o f s m a l l e r c u b e$
$= 5 \times 5 \times 5 = 125 c m^{3}$
$V o l u m e o f s h a p e l e f t$
$= 27000 - 125 = 26875 c m^{3}$

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