Question

the cost of the painting the whole surface area of a cube at the rate of 13 paise per centimetre square is Rs 343.98 the volume of the cube is

Answer 1

Heya

It takes Rs.13/100 to paint 1cm²

Total cost was Rs.343.98

Total area of the cube is 343.98/0.13=2646cm²

TSA of cube = 6s²

6s²= 2646

s² = 2646/6

s²= 441

s = √441 = 21cm

Volume of cube is s³

s³ = 21³ = 9261cm³.

Hope it helps!^_^

Answer 2

Question

The cost of the painting the whole surface area of a cube at the rate of 13 paise per centimetre square is Rs 343.98 the volume of the cube is

$\underline{\Large{\underline{\textbf{\fbox{SOLUTION}}}}}\\\\The\ cost\ of\ painting\ the\ whole\ surface\ area\ of\ cube=Rs.\ 343.98\\\\\therefore\ Total\ surface\ area\ ={\frac{Rs.343.98}{13\ paise}$

$\\\\=\large{\bold{{\frac{\frac{343.98}{13}}{100}}}}}=\Large{\frac{343.98\times100}{13}}\\\\=\Large{\frac{34398}{13}}=2646\:cm^2\\\\\therefore6(edge)^2=2646\\\\\implies(edge)^2=441\\\\\implies edge=21\:cm\\\\Now,\: volume\: of\: cube\: \\\\=(edge)^3=(21)^3\\\\={9261\ cm^3$