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General

General

Easy

Question

If the volume of a cube is 1728 cubic cm , find the length of its edge ?

hint Hint:

A cube is a solid 3 dimensional figure with six-faces, 8 vertices and 12 edges. Its faces are squares.

Volume is the capacity of a certain object to carry or hold another objects within i.e. the amount of space that the object holds.

Volume of a cube = $a cubed$ , where a = length of each edge of the cube.

The correct answer is: The given cube has edges of 12 cm each.

Step-by-step solution:
From the given information, we observe that-
Volume of the given cube = 1,728 $c m cubed$ …......................................... (Equation i)
Now, we know that-
Volume of a cube = $a cubed$
∴ Volume of the given cube = $a cubed$
∴ 1,728 = $a cubed$ .......................................................... (From Equation i)
∴ 12 = a ........................................................... (Taking cube roots both the sides)
∴ The given cube has edges of 12 cm each.

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