Question

The volume of this cube is 27 cubic meters. What is the value of m?

Answer 1

Hey ! there

Answer:

• n is equal to 3 meters

Step-by-step explanation:

In this question we are provided with a cube having volume 27 cubic meters . And we are asked to find the value of n that is basically its edge .

For finding the value of n we need to know the volume of cube. So ,

$\: \qquad \: \qquad \: \underline{ \boxed{ \frak{Volume_{(Cube)} = a {}^{3} }}}$

Where ,

• a refers to edge of cube

SOLUTION : -

Substituting given volume that is 27 m³ and value of a as n in formula :

$\quad \longrightarrow \qquad \: n {}^{3} = 27$

Applying cube root on both sides :

$\quad \longrightarrow \qquad \: \sqrt[3]{n {}^{3} } = \sqrt[3]{27}$

We get ,

$\quad \longrightarrow \qquad \:n= \sqrt[3]{27}$

We know that 3 × 3 × 3 is equal to 27 that means cube root of 27 is 3 . So ,

$\quad \longrightarrow \qquad \: \blue{\underline{\boxed{\frak{ n = 3 \: m}}}} \quad \bigstar$

• Henceforth , value of n is ❝ 3 meters ❞

Verifying : -

Now we are checking our answer whether it is wrong or right by substituting value of n and equating it with given volume that is 27 cubic meters . So ,

• a³ = 27 ( where a is equal to n )

Substituting values :

• ( 3 )³ = 27

• 3 × 3 × 3 = 27

• 9 × 3 = 27

• 27 = 27

• L.H.S = R.H.S

• Hence, Verified .

Therefore, our answer is correct .

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Answer 2

Answer:

3

Step-by-step explanation:

Formula for volume of cube :

• V = n³

Here, V is given to be 27 m³.

Substitute the value of V in the formula.

Solving : Take the cubic root on each side.

• 27 m³ = n³
• n = ∛27 m³
• n = 3 meters