Advertisements
Advertisements
प्रश्न
The breadth of a room is twice its height, one half of its length and the volume of the room is 512cu. m. Find its dimensions.
उत्तर
We have,
`b= 2h and b =1/2`
`⇒1/2=2h`
`⇒l=4h`
`⇒l = 4h, b= 2h`
Volume `= 512m^3`
`⇒ 4hxx2hxxh = 512 `
`⇒ h^3 = 64`
`So , l = 4 xx h= 16m`
`b= 2xxh=8m`
`and h=4m`
APPEARS IN
संबंधित प्रश्न
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`
Two cubes, each of volume 512 cm3 are joined end to end. Find the surface area of the resulting cuboid.
Half cubic meter of gold-sheet is extended by hammering so as to cover an area of 1 hectare. Find the thickness of the gold-sheet.
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.
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.
Find the volume of a cuboid whose dimensions are length = 12 cm, breadth = 8 cm, height = 6 cm
The dimensions of a match box are 6 cm × 3.5 cm × 2.5 cm. Find the volume of a packet containing 12 such match boxes
Volume of regular solids such as cube and cuboid can be found by multiplying the dimensions. Complete the given table by finding the volume of the given objects
| S.No. | Objects | l | b | h | Volume (cubic cm) |
| 1. | Note books | 6 cm | 15 cm | 1 cm | |
| 2. | Name board | 20 cm | 90 cm | 2 cm | |
| 3. | Show case cub board | 70 cm | 250 cm | 70 cm | |
| 4. | Gift box | 10 cm | 10 cm | 10 cm | |
| 5. | Dice | 1 cm | 1 cm | 1 cm |
How many small cubes with edge of 20 cm each can be just accommodated in a cubical box of 2 m edge?
