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General

General

Easy

Question

The capacity of a cubical swimming pool is 8000 liters. Find the depth of the swimming pool.

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).

Length, width and height of a cube are all equal.

The correct answer is: Depth of the given swimming pool is 2m.

Step-by-step solution:
From the given information we get-
Volume of the given cubical swimming pool = 8,000 L.
∴ Volume of the given cubical swimming pool = (8,000 / 1,000).................... $m cubed$ (1 $m cubed$ = 1,000 L)
∴ Volume of the given cubical swimming pool = 8
∴ $a cubed$ = 8 .......…................................ (Volume of a cube = $a cubed$ )
∴ a = 2 ................... (Taking cube roots both the sides) .................. (Equation i)
Since the height, width and length of a cube are all equal,
depth of the given cubical swimming pool = a = 2m
∴ Depth of the given swimming pool is 2m.

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