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Maths-

General

Easy

Question

A fish tank is in the shape of a cube . Its volume is 125 Cubic feet . What is the area of one face of the tank ?

hint Hint:

Find the edge length of the cube and then find the area of one face of the tank.

The correct answer is: 25 ft^2

Complete step by step solution:
Volume of the cube shaped fish tank = 125 cubic feet…(i)
Let the side of fish tank = x
We know that the formula for volume of a cube = $x cubed$ …(ii)
On equating both, we get $x cubed equals 125$
Now take cube roots on both the sides, we have $x equals cube root of 125$
$not stretchy rightwards double arrow x equals 5 ft$
We know that a cube is a three dimensional shape made of 6 equal squares.
Hence area of one cube face = x²
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow x squared equals 5 squared end cell row cell not stretchy rightwards double arrow 25 ft squared end cell end table$
Hence area of one cube face of fish tank = 25 ft²

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