Question

the cost of white washing the total surface area of a cube at the rate of 15 paise per sq cm is rs396.90 find the volume of cube​

Answer 1

answer:-

the volume of cube = 9247.77 cm^3

given:-

Cost of white washing per square cm is 15 paise and total cost of white washing the cube is rupees 396.60

to find:-

Volume of cube.solution -by the question,Cost of white washing 1 cm² area = 15 paise

We change it in rupees, dividing by 100.

because, 1 rupees = 100 paise

$So,$

Cost of whitewashing 1 cm? area= 15 / 100 rupees= 0.15 rupees

by the question,

Cost of whitewashing total surface area= 396.90 Rupees

Total surface area= Total cost / Cost per cm?

= 396.60 /0.15

= 39660/15

= 2644 cm

Total surface area of cube = 6 ( side)^2

=> 2644 = 6 ( side)^ 2

=> ( side )^2 = 2644/6

=> ( side )^2 = 440.66

=> side = √440.66

=> side = 20.99cm

now , volume of cube = ( side )^3

= ( 20.99cm)^3 = 9247.77 cm ^3