Question
Download Solution PDFA metallic solid cuboid of dimensions 36 cm × 22 cm × 12 cm is melted and recast in the form of cubes of side 6 cm. Find the number of the cubes so formed.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A metallic solid cuboid of dimensions 36 cm × 22 cm × 12 cm is melted and recast in the form of cubes of side 6 cm.
Formula used:
Volume of cuboid = length × breadth × height
Volume of cube = side3
Number of cubes = Volume of cuboid / Volume of one cube
Calculation:
Volume of cuboid = 36 × 22 × 12
⇒ Volume of cuboid = 9504 cm3
Volume of one cube = 63
⇒ Volume of one cube = 216 cm3
Number of cubes = 9504 / 216
⇒ Number of cubes = 44
∴ The correct answer is option (4).
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