Question

14. Find the volume of a cubical box if the cost of painting its outer surface is Rs.
the cost of painting its outer surface is Rs. 1440 at the rate
of Rs. 15 per sq. m. (Hint: suriace area of cube = 613)
(64 m²​

Answer 1

• As We are Given with Total Cost as Rs. 1440 at the rate of Rs. 15/Sq. Mtr.

• Then, Total Lateral Surface Area =

Total Expenditure/Rate ,i.e.

Rs. 1440/Rs.15 = 96 Sq. Mtrs.

▪ Formula of Lateral Surface Area of a Cube is 6 x of Cube^2

Therefore,

6 x Side of Cube^2 = 96 Sq. Mtrs.

Side of Cube^2 = 96 ÷ 6

Side of Cube^2 = 16

Side of Cube = 4

Therefore,

Volume of Cube = Side of Cube^3

Volume of Cube = 4^3

Volume = 64

Mark as brain list.