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Hi!
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Question :
Two cubes, each of volume 512 cm³ are joined end to end. Find the total surface areas of the resulting cuboid.?
Answer :
Find length , breadth and height
We Know that ,
Volume of Cube = a^3
a = 8
Side = 8
So ,
Total Length = 8 + 8
= 16
Total Breadth = 8
Total Height = 8
Find Total Surface area of the Cuboid
TSA of Cuboid = 2 ( lb + bh + hl)
=> 2 ( 16 * 8 + 8 * 8 + 8 * 16 )
=> 2 ( 128 +64 + 128 )
=> 2 (320)
=> 640 cm^2
Find Lateral Surface area
Lateral Surface area = 2h ( L + b )
=> 2 * 8 ( 16 + 8)
=> 16 * 24
=> 384 cm^2
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