how many cubes of sides 3cm can be cut from a wooden solid cuboid with dimensions 12cm*18cm*9cm?
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Total Volume of cuboid=18*12*9=1944cm^3
Volume of one cube=3*3*3=27
Therefore, No. of cubes that can be fit=1944/27=72
Volume of one cube=3*3*3=27
Therefore, No. of cubes that can be fit=1944/27=72
Answered by
11
This can be found by using volumes.
Volume of the cuboid = 12 ×18 ×9 = 1944 cm².
Volume of the cube = 3³ = 27cm².
Let the number of cubes can be cut from the cuboid be "n".
n × volume of cube = volume of cuboid
n = volume of cubic cuboid / volume of cube.
n = 1944 / 27
n = 72.
Therefore, 72 cubes can be cut out.
:)
Volume of the cuboid = 12 ×18 ×9 = 1944 cm².
Volume of the cube = 3³ = 27cm².
Let the number of cubes can be cut from the cuboid be "n".
n × volume of cube = volume of cuboid
n = volume of cubic cuboid / volume of cube.
n = 1944 / 27
n = 72.
Therefore, 72 cubes can be cut out.
:)
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