A solid metallic cuboid having of dimensions 5 in × 6 in × 7 in is melted and recast into cubes. Find how many unit cubes can be formed from the cuboid.

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250

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300

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210

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Solution

The correct option is D 210
The length, width, and height of the cuboid are 5 in, 6 in, and 7 in, respectively.

We know,
Volume of a cuboid = Length × Width × Height

Putting the values, we get:
Volume of the cuboid = 5 × 6 × 7
= 210 cu in

Each unit cube has a volume of 1 cubic inch.

Hence, 210 unit cubes can be made from the cuboid.

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