the length of a box is thrice its breadth. its height is 8cm. if its lateral surface area is 256cm2 then its volume is _________.
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Let the breadth be b.
The length is :
3b.
The lateral surface area = 2hl + 2hb
Where :
h = height
l = length
b = breadth
256 = 16b + 48b
256 = 64b
64b = 256
b = 256/64
b = 4
The breadth = 4 cm
The length = 12 cm
Volume = 4 × 12 × 8 = 384 CM³
Answered by
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384 CM^3.
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