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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9

If the total surface area of a cube is 2400 cm2 then, find its lateral surface area - Mathematics

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Question

If the total surface area of a cube is 2400 cm2 then, find its lateral surface area

Sum

Solution

T.S.A of the cube = 2400 cm2

6a2 = 2400

a2 = `2400/6`

= 400 cm2

L.S.A of the cube = 4a2 sq.units

= 4 × 400 cm2

= 1600 cm2

OR

T.S.A of the cube = 2400 cm2 

6a= 2400

a= `2400/6`

= 400

a = `sqrt(400)`

= 20 cm

Side of a cube (a) = 20 cm

L.S.A of the cube = 4a2  sq.units

= 4 × 20 × 20 cm2 

= 1600 cm2 

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Chapter 7: Mensuration - Exercise 7.2 [Page 257]

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Samacheer Kalvi Mathematics [English] Class 9 TN Board
Chapter 7 Mensuration
Exercise 7.2 | Q 5 | Page 257
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