Advertisements
Advertisements
प्रश्न
Given that 1 cubic cm of marble weighs 0.25 kg, the weight of marble block 28 cm in width and 5 cm thick is 112 kg. Find the length of the block.
Advertisements
उत्तर
Let the length of the block be 1cm
Then, volume = `lxx28xx5cm^3`
∴weight = `140lxx0.25 cm^3`
According to the question
⇒ `112=1401xx0.25`
⇒ `l=(112)/(1401xx0.25)=3.2cm`
APPEARS IN
संबंधित प्रश्न
A matchbox measures 4 cm × 2.5 cm × 1.5 cm. What will be the volume of a packet containing 12 such boxes?
A cuboidal vessel is 10 m long and 8 m wide. How high must it be made to hold 380 cubic metres of a liquid?
A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute?
The areas of three adjacent faces of a cuboid are x, y and z. If the volume is V, prove that
`V^2` = `xyz`
If the area of three adjacent faces of a cuboid are 8 `cm^2`, 18 `cm^3` and 25 `cm^3`. Find the
volume of the cuboid.
A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of the two smaller cubes are 6 cm and 8 cm, find the edge of the third smaller cube.
Water in a rectangular reservoir having base 80 m by 60 m i s 6.5 m deep. In what time can the water be emptied by a pipe ôf which the cross-section is a square of side 20 cm, if the water runs through the pipe at the rate of 15 km/hr.
Complete the given table by finding the volume of the given objects.
| S.No. | Objects | l | b | h | Volume (cubic units) |
| 1. | Brick | 6 cm | 8 cm | 10 cm | — |
| 2. | Windowpane | 3 cm | — | 45 cm | 900 cubic cm |
| 3. | Sunshade | 70 cm | 20 cm | — | 4200 cubic cm |
| 4. | Steps | 80 cm | — | 20 cm | 32000 cubic cm |
| 5. | Room | — | 4 m | 3 m | 36 cubic m |
Ramesh has three containers.
- Cylindrical container A having radius r and height h,
- Cylindrical container B having radius 2r and height 1/2 h, and
- Cuboidal container C having dimensions r × r × h
The arrangement of the containers in the increasing order of their volumes is
