The cost of painting the whole surface area of a cube at the rate of 10 paisa per cm² is ₹264.60. Then,the volume of the cube is???
plz solve it fast....
Answers
Answered by
222
GIVEN :
Cost of painting the whole surface area of a cube = ₹ 264.60 = 264.60 × 100 = 26460 paise
Rate = 10 paise per cm²
Let 'a’ be the side of the cube.
Total cost = Surface area × rate
Surface area = Total cost / rate
Surface area = 26460 /10 = 2646
Surface area = 2646 cm²
Surface area of cube = 6a²
2646 = 6a²
a² = 2646/6 = 441
a² = 441
a = √441
a = 21 cm
Volume of cube = side³ = a³
Volume of cube = 21³ = 21 ×21×21= 9261
Volume of cube = 9261 cm³
Hence, the volume of cube is 9261 cm³.
HOPE THIS WILL HELP YOU….
Cost of painting the whole surface area of a cube = ₹ 264.60 = 264.60 × 100 = 26460 paise
Rate = 10 paise per cm²
Let 'a’ be the side of the cube.
Total cost = Surface area × rate
Surface area = Total cost / rate
Surface area = 26460 /10 = 2646
Surface area = 2646 cm²
Surface area of cube = 6a²
2646 = 6a²
a² = 2646/6 = 441
a² = 441
a = √441
a = 21 cm
Volume of cube = side³ = a³
Volume of cube = 21³ = 21 ×21×21= 9261
Volume of cube = 9261 cm³
Hence, the volume of cube is 9261 cm³.
HOPE THIS WILL HELP YOU….
Answered by
50
................................
Attachments:
Similar questions