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CBSE Class 9 Answered

if v is the volume of a cuboid of dimensions l b and h and s is the surface area. Prove that 1/v = 2/s (1/l + 1/b +1/h)
Asked by Solar | 05 Jan, 2018, 04:24: PM
answered-by-expert Expert Answer
begin mathsize 16px style Here comma Length equals straight l Breadth equals straight b Height equals straight h Volume equals straight v equals straight l cross times straight b cross times straight h SA equals straight S equals 2 left parenthesis lb plus bh plus lh right parenthesis Now comma 2 over straight S open square brackets 1 over straight l plus 1 over straight b plus 1 over straight h close square brackets equals fraction numerator 2 over denominator 2 left parenthesis lb plus bh plus lh right parenthesis end fraction open square brackets fraction numerator open parentheses bh plus lh plus lb close parentheses over denominator lbh end fraction close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 over lbh space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 over straight v end style
Answered by Rashmi Khot | 05 Jan, 2018, 05:09: PM

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CBSE 9 - Maths
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