The number of cubes of side 3 cm that can be cut from a cuboid of dimensions 10 cm×9 cm×6 cm, is
A. 9
B. 10
C. 18
D. 20
Answers
Answered by
3
Answer:
D) 20
The no of cubes will be
Volume of cuboid / volume of cube
10×9×6/27=20
Answered by
4
Given : The number of cubes of side 3 cm that can be cut from a cuboid of dimensions 10 cm × 9 cm × 6 cm.
Side of cube , a = 3 cm
Dimension of cuboid = l × b × h = 10 cm × 9 cm × 6 cm
Volume of cuboid ,V = l × b × h
V = 10 × 9 × 6
V = 540 cm³
Volume of cuboid = 540 cm³
Volume of cube, v = a³
v = 3³
v = 3 × 3 × 3
v = 27 cm³
Volume of cube = 27 cm³
Number of cubes can be formed = Volume of cuboid/Volume of cube
Number of cubes can be formed = 540/27 = 20
Hence, the number of cubes of side 3 cm that can be cut from a cuboid of given dimensions are 20.
Option (D) 20 is correct.
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