Question

the cost of white washing the total surface area of a cube at the rate of 15 paise per square cm is₹396.90 find the volume of a cube. ​

Answer 1

Answer:

Volume of cube = 9247.77cm³

Step-by-step explanation:

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---> ATQ,

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 cm² area

= 15 / 100 rupees

= 0.15 rupees

ATQ, Cost of whitewashing total surface area

= 396.90 Rupees

Total surface area

= Total cost / Cost per cm²

= 396.60 / 0.15

= 39660 / 15

= 2644 cm²

Total surface area of cube = 6 ( side )²

=> 2644 = 6 ( side )²

=> ( side )² = 2644 / 6

=> ( side )² = 440.66

=> side = √440.66

=> side = 20.99 cm

Now , volume of cube = side³

= ( 20.99 )³

= 9247.77 cm³

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Answer 2

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volume of cube =9247.77cm3

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