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If the Perimeter of Each Face of a Cube is 32 Cm, Find Its Lateral Surface Area. Note that Four Faces Which Meet the Base of a Cube Are Called Its Lateral Faces.

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Question

If the perimeter of each face of a cube is 32 cm, find its lateral surface area. Note that four faces which meet the base of a cube are called its lateral faces.

Short/Brief Note
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Solution

Let,

a → Side of the cube

Perimeter of each face is 32 cm.

4a = 32

  a = 8cm

Lateral surface area,
=4a2

= 4 × 82

= 256 cm2

So the lateral surface area of the cube is 256 cm2 .

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Chapter 18: Surface Areas and Volume of a Cuboid and Cube - Exercise 18.3 [Page 35]

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R.D. Sharma Mathematics [English] Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.3 | Q 3 | Page 35

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