Question

. A don Alvaro le encargaron construir un depósito de agua de 729 m3 ¿Cuánto debe medir la arista del depósito?

Answer 1

Answer: The side of the tank is 9 m.

Explanation: A water tank is normally a cube, which means length, width and height has the same measure.

To calculate Volume of a cube:

V = length*width*height

Knowing that volume is 729 and assuming sides are x:

x*x*x = 729

x³ = 729

x =
`\sqrt[3]{729}`

x = 9

The volume is in cubic meters, so sides of the tank measures 9 m.

Answer 2

a = 9m

Explanation:

You can take the volume of the water tank as the volume of a cube.

The volume of a cube with side a is given by:

V=a*a*a = a^3

To find the value of a you do a the subject of the formula:

a=(V)^{1/3}

You replace and obtain for a:

a = (729m^3)^{1/3} = 9m

hence, the rim a of the water tank is 9m