Question

the volume of a cube is 9261mcube . find the side of the cube​

Answer 1

Answer:

Appropriate Question :-

• The volume of a cube is 9261 m³. Find the side of the cube.

Given :-

• The volume of a cube is 9261 m³.

To Find :-

• What is the side of the cube.

Formula Used :-

$\clubsuit$ Volume Of Cube Formula :

$\bigstar \: \: \sf\boxed{\bold{\pink{Volume_{(Cube)} =\: a^3}}}\: \: \: \bigstar$

where,

• a = Side Of Cube

Solution :-

Let,

$\mapsto \bf Side_{(Cube)} =\: a\: m$

According to the question by using the formula we get,

$\implies \bf Volume_{(Cube)} =\: a^3$

$\implies \sf 9261 =\: a^3$

$\implies \sf \sqrt[3]{9261} =\: a$

$\implies \sf \sqrt[3]{21 \times 21 \times 21} =\: a$

$\implies \sf 21 =\: a$

$\implies \sf\bold{\purple{a =\: 21\: m}}$

Hence, the side of cube is :

$\dashrightarrow \sf Side_{(Cube)} =\: a\: m$

$\dashrightarrow \sf\bold{\red{Side_{(Cube)} =\: 21\: m}}$

$\therefore$ The side of the cube is 21 m .

Answer 2

Given,

The volume (V) of the cube is 9261 m³

To Find,

The side (a) of the cube

Solution,

All sides of the cube are equal as all six faces of a cube are square-shaped.

To find the volume of the cube we use the formula:

                   V = a³

By substituting the value of the volume in the above equation and removing the cube from a, and bringing it to the other side of the equation, we get:

                ∛9261 = a

The cube root of 9261 is 21, thus:

                  a = 21 m

Hence, the side of the cube is 21 m.