how many cubes of side 3 cm can be cut from a solid cube whose Length breadth and height are 21 cm 9 cm 15 cm
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Answer:
Given:
Cuboid Dimensions = 21×9×15 (in cm)
Cube Side: 3cm
Step-by-step explanation:
Total number of cubes that can be cut from this cuboid can be given by:
(No. of object)(Volume of object) = (No. of object)(Volume of object)
Volume of cuboid = lbh
=21×9×15
Volume of cuboid = 2835cm³
Volume of cube = a³ (a is side of the cube)
=3³
Volume of cube = 27cm³
Let number of cubes in this cuboid be x, then
(x)(27) = (1)(2835)
x = 2835÷27
x = 105
No. of cubes in this cuboid = 105.
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