The cost of painting the whole surface area of a cube at the rate of i

1.	The cost of painting the whole surface area of a cube at the rate of is 10 paise per cm2Rs. 264.60. Then, the volume of the cube is A. 6859 cm3 B. 9261 cm3 C. 8000 cm3 D. 10648 cm3
Answer» Let the side of cube be ‘a’ Hence total surface area of cube = 6a² Cost of painting the cube = 6a² × 10 264.6 = 60 a² a² = \(\frac{264.6}{60}\) a² = 4.41 a = 2.1 Hence, Volume of the cube = a³ = (2.1)³ = 9.261 cm³ Hence, option B is correct

The cost of painting the whole surface area of a cube at the rate of is 10 paise per cm2Rs. 264.60. Then, the volume of the cube is A. 6859 cm3 B. 9261 cm3 C. 8000 cm3 D. 10648 cm3

Answer»

Let the side of cube be ‘a’

Hence total surface area of cube = 6a²

Cost of painting the cube = 6a² × 10

264.6 = 60 a²

a² = \(\frac{264.6}{60}\)

a² = 4.41

a = 2.1

Hence,

Volume of the cube = a³

= (2.1)³

= 9.261 cm³

Hence, option B is correct