Given a solid cuboid of dimensions 3 e x t c m i m e s 30 e x t c m i m e s 30 e x t c m 3 ext{ cm} imes 30 ext{ cm} imes 30 ext{ cm} 3 e x t c m im e...

Question

Given a solid cuboid of dimensions 3extcmimes30extcmimes30extcm3 ext{ cm} imes 30 ext{ cm} imes 30 ext{ cm} and a cube of side 30extcm30 ext{ cm}, compare:

Quantity I: Number of perfect cubes each of side 3extmm3 ext{ mm} that can be cut out of the cuboid.

Quantity II: Number of perfect cuboids of dimensions 3extmmimes30extmmimes30extmm3 ext{ mm} imes 30 ext{ mm} imes 30 ext{ mm} that can be cut out of the cube.

Options

A.

Quantity I < Quantity II

B.

Quantity I > Quantity II

C.

Quantity I = Quantity II

D.

No relation

volumecuboidcubeunit conversionmensuration

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