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Maru [420]
2 years ago
6

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

Mathematics
2 answers:
ladessa [460]2 years ago
6 0

Hey ! there

Answer:

  • n is equal to <u>3 </u><u>meters</u>

Step-by-step explanation:

In this question we are provided with a cube having <u>volume </u><u>2</u><u>7</u><u> </u><u>cubic </u><u>meters</u><u> </u>. And we are asked to find the <u>value </u><u>of </u><u>n </u>that is basically its <u>edge </u><u>.</u>

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

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

<u>Where</u><u> </u><u>,</u>

  • a refers to <u>edge </u><u>of </u><u>cube</u>

<u>SOLUTION</u><u> </u><u>:</u><u> </u><u>-</u>

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

  • <u>Henceforth</u><u> </u><u>,</u><u> </u><u>value</u><u> </u><u>of </u><u>n </u><u>is </u><u>❝</u><u> </u><u>3 </u><u>meters </u><u>❞</u>

<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>

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 .

<u>Therefore,</u><u> </u><u>our</u><u> answer</u><u> is</u><u> correct</u><u> </u><u>.</u>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
Scilla [17]2 years ago
6 0

Answer:

<u>3</u>

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 = <u>3</u> meters
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