Question

the lateral surface area of a cube whose volume is 27m3​

Answer 1

Answer:

The lateral surface area of the cube will be 36 cm²

Step-by-step explanation:

The volume of the cube is given to be 27 cm³

We will first find the measure of side of the cube

volume of cube = (side)³

27 = (side)³

side = 3 cm

lateral surface area = 4a²

= 4 × (3)²

= 4 × 9

= 36 cm²

Answer 2

❒ Question :-

• Find the Lateral Surface Area of a Cube, whose Volume is 27 m³ .

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❒ Answer :-

• Lateral Surface Area is 36 cm² .

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❒ Explanation :-

• Here, Volume of Cube is given 27 m³ . And, we have to calculate the Lateral Surface Area .

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● First, we will find measure of side :-

$\dag \: \: \sf{Volume \: of \: cube = (side)^{3} }$

$\Longrightarrow \: \: \sf{27 \: = \: (side) {}^{3} }$

$\Longrightarrow \: \: \sf{side \: = \sqrt[3]{ \: 27 \: } }$

$\Longrightarrow \: \: \sf {side \: = \: 3 \: cm }$

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● Now, let's find Lateral Surface Area :-

$\dag \: \: \sf{Lateral \: Surface \: Area = 4 \: {a}^{2} }$

$\Longrightarrow \: \: \sf{Lateral \: Surface \: Area = 4 \times ({3})^{2} }$

$\Longrightarrow \: \: \sf{Lateral \: Surface \: Area = 3 \times 9}$

$\Longrightarrow \: \: \sf{Lateral \: Surface \: Area = {36 \: cm}^{2}}$

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Hence :-

• Lateral Surface Area = 36 cm² .

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$\begin{gathered}\begin{gathered}\boxed{\begin{array}{c} \\ \underline{ { \pmb {\sf \red{ \dag \: \: More \: Formulas \: \: \dag}}}} \\ \\ \\ \footnotesize \bigstar \: \sf{Volume = ( \: edge \: ) {}^{3} } \\ \\ \\ \footnotesize \bigstar \: \sf{Total \: Surface \: Area = 6 \times ( \: edge \: ) {}^{2} } \\ \\ \\ \footnotesize \bigstar \: \sf{Lateral \: Surface \: Area = 4 \times ( \: edge \: ) {}^{2} } \\ \\ \\ \footnotesize \bigstar \: \sf{Diagonal = ( \: edge \: \sqrt{3} \: )}\end{array}}\end{gathered}\end{gathered}$