Question
Download Solution PDFIf a cuboid of length 81 cm, breadth 27 cm, and height 9 cm is cut into 729 smaller identical cubes, then the length of the edge of each smaller cube is:
Answer (Detailed Solution Below)
27 cm
Detailed Solution
Download Solution PDFGiven:
Length of cuboid = 81 cm
Breadth of cuboid = 27 cm
Height of cuboid = 9 cm
Total number of smaller cubes = 729
Formula used:
Volume of cuboid = Volume of all smaller cubes
Volume of one cube = Edge3
Calculation:
Volume of cuboid = Length × Breadth × Height
⇒ Volume of cuboid = 81 × 27 × 9 = 19683 cm3
Volume of one cube = Volume of cuboid / Total number of cubes
⇒ Volume of one cube = 19683 / 729 = 27 cm3
Edge3 = Volume of one cube
⇒ Edge3 = 27
⇒ Edge = 3 cm
∴ The correct answer is option (2).
Last updated on Sep 27, 2023
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