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A Cuboid Has Total Surface Area of 372 Cm2 and Its Lateral Surface Area is 180 Cm2, Find the Area of Its Base.

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Question

A cuboid has total surface area of 372 cm2 and its lateral surface area is 180 cm2, find the area of its base.

Short/Brief Note
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Solution

We have,

Total surface area of the cuboid `(A) = 372 cm^2`

Lateral surface area of the cuboid `(A) = 180 cm^2`

Let,

a →Area of the base

We know that,

A = A' + 2a

`a = (A-A')/2`

  `=(372-180)/2`

  `=192/2`

   =96 cm2

Area of the base is  96 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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RD Sharma Mathematics [English] Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.3 | Q 5 | Page 35

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