the three coterminous edges of a cuboid are 36, 75 and 80 cm respectively. what is the edge of the cube of the same volume?
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215
Hello Friend !
Given the dimensions of cuboid:
Length = 36
Breadth = 75
& Height = 80
We know that the volume of a cuboid = L * B * H
Therefore the volume of the given cuboid = 36 * 75 * 80
⇒ Volume = 216000
Also, it is given that this volume is same for the cube as well.
Therefore the volume of cube is equal to a³, where a = side of the cube
⇒ volume of the cube = a³ = 216000
Taking cube root on both sides
⇒ a = 60
Therefore the side of a cube is 60.
Hope this may help !!!
Given the dimensions of cuboid:
Length = 36
Breadth = 75
& Height = 80
We know that the volume of a cuboid = L * B * H
Therefore the volume of the given cuboid = 36 * 75 * 80
⇒ Volume = 216000
Also, it is given that this volume is same for the cube as well.
Therefore the volume of cube is equal to a³, where a = side of the cube
⇒ volume of the cube = a³ = 216000
Taking cube root on both sides
⇒ a = 60
Therefore the side of a cube is 60.
Hope this may help !!!
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11
Answer:
the side of a cube is 60 it may help you
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