Question

The number of cubical blocks having an edge of 8 cm that can be cut from a wooden block measuring 24 cm by 72 cm by 64 cm is ________________________

Answer 1

Answer:

I know the answer

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Length of wooden block = 72 cm

Breadth = 64 cm

Height = 24 cm

Volume of the wooden block =

${(24 \times 72 \times 64)cm}^{3} \\ = {110592 \: cm}^{3}$

Length of cubical block to be cut = 8 cm

Volume of each cubical block =

${(8 \times 8 \times 8)cm}^{3} \: = \: {512cm}^{3}$

Therefore, no. of cubical blocks that can be cut from the wooden block =

$\frac{110529}{512} \: = \: 216$