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Home / Doubts and Solutions/KERALA/Class 10/Mathematics

A TENT IN THE SHAPE OF SQUARE PYRAMID PLACED ON A CUBE IS TO BE CONSTRUCTED ONE SIDE OF THE CUBE IS 8M AND HEIGHT 11M HOW MUCH CANVAS WILL IT WHAT 

Asked by Krishnan 18th October 2015, 11:04 AM
Answered by Expert
Answer:

begin mathsize 14px style Given colon space space Length space of space cube space equals space 8 space straight m comma space space Height space of space tent space equals space 11 space straight m Canvas space required space for space tent space equals straight L. straight S. straight A space of space cube space plus space straight L. straight S. straight A space of space space pyramid Lateral space surface space area space of space cube space equals space 4 space straight x space area space of space one space face space of space the space cube space equals space 4 space straight x space left parenthesis 8 space straight x space 8 right parenthesis space equals space 256 space sq space straight m space horizontal ellipsis. space left parenthesis 1 right parenthesis space Height space of space square space pyramid space equals space height space of space tent space minus space height space of space cube space equals 11 space – space 8 space equals space 3 space straight m Length space of space the space base space of space square space pyramid space equals space 8 space straight m In space triangle ABC comma space space open parentheses AB close parentheses squared equals space open parentheses AC close parentheses squared plus space open parentheses BC close parentheses squared therefore Slant space height space equals space square root of 4 squared space plus space 3 squared space end root equals space square root of 16 space plus space 9 end root space equals square root of space 25 end root space equals space 5 space straight m space therefore Slant space height space equals space 5 space straight m comma space space perimeter space of space base equals 8 cross times 4 equals 32 space straight m space Lateral space surface space area space of space square space pyramid space equals space 1 half space cross times space perimeter space of space base space cross times space slant space height space space equals space 1 half space cross times space 32 space cross times 5 space equals space space 80 space sq space straight m space space space... open parentheses 2 close parentheses space Canvas space required space for space tent colon space equals straight L. straight S. straight A space of space cube space plus space straight L. straight S. straight A space of space pyramid equals 256 space plus space 80 space equals space 336 space sq space straight m. space space therefore Canvas space required space for space tent space equals space 336 space sq. space metre end style

Answered by Expert 18th October 2015, 10:49 PM
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