Home
Class 9
MATHS
The total surface area of a cube is 294...

The total surface area of a cube is `294 cm^(2)`, find its volume.

Text Solution

Verified by Experts

Since, total surface area of cube `= 6("side")^(2)`
`rArr 294 = 6xx("side")^(2)`
`rArr ("side")^(2)=(294)/(6)`
`rArr ("side")^(2)=49` or side = 7 cm
`therefore` Volume of a cube `= ("side")^(3)`
`=(7)^(3)`
`=343 cm^(3)`
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREA AND VOLUME

    NAGEEN PRAKASHAN|Exercise Problems From NCERT/exemplar|24 Videos

  • SURFACE AREA AND VOLUME

    NAGEEN PRAKASHAN|Exercise Exercise 13a|30 Videos

  • STATISTICS

    NAGEEN PRAKASHAN|Exercise Revision Exercise|10 Videos

  • TRIANGLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise (long Answer Type Question)|8 Videos

Similar Questions

Explore conceptually related problems

The total surface area of a cube is 1176 cm^(2) . Find its volume

The lateral surface area of a cube is 324 cm^(2) . Find its volume and the total surface area

The total surface area of a cube is 864 cm^(2) . Find the volume?

The total surface area of a cube is 216 cm^(2) . Find the volume

The lateral surface area of a cube is 900 cm^(2) . Find its volume

The surface area of a cube is 864 cm^(2) . Find its volume

The lateral surface area of a cube is 256cm^(2) . Find its volume.

If the total surface area of a cube is 96 cm^(2) , its volume is

The total surface area of a cube is 726m^(2) . Find its edge.