how many cubes of sides 3cm in the wooden block in shape of cuboid whose length, breadth, height is 21×9×8.how much wood is wasted?
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56 is the answer just equate the volume of both that is lbh amd a³
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Hi user
Here's your answer
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First let us write the formula of volume each solid.
Cube = a³ ( Here ' a ' is the side of the cube )
Cuboid = Length * Breadth * Height
Given Dimensions:
Cube: a = 3 cm
Cuboid: Length = 21 cm
Breadth = 9 cm
Height = 8 cm.
Let the number of cubes required to make that cuboid be " n "
So,
= n * Volume of cube = Volume of cuboid.
= n * ( 3 )³ = 21 * 9 * 8
= n * 27 = 21 * 72
= n * 27 = 1512
=> n = 1512 / 27 = 56
Hence 56 cubes are required to make that wooden block.
Since the number of cubes is perfectly required there is no wastage of wood.
____________________________________________________________
Hope my answer is correct
Have a good day :-)
Here's your answer
____________________________________________________________
First let us write the formula of volume each solid.
Cube = a³ ( Here ' a ' is the side of the cube )
Cuboid = Length * Breadth * Height
Given Dimensions:
Cube: a = 3 cm
Cuboid: Length = 21 cm
Breadth = 9 cm
Height = 8 cm.
Let the number of cubes required to make that cuboid be " n "
So,
= n * Volume of cube = Volume of cuboid.
= n * ( 3 )³ = 21 * 9 * 8
= n * 27 = 21 * 72
= n * 27 = 1512
=> n = 1512 / 27 = 56
Hence 56 cubes are required to make that wooden block.
Since the number of cubes is perfectly required there is no wastage of wood.
____________________________________________________________
Hope my answer is correct
Have a good day :-)
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