Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
WKT, if ,,x y z denote the areas of three adjacent faces of a cuboid
`⇒x=lxxb,y=bxxh,z=lxxh.`
Volume V is given by
`v=lxxbxxh`
`Now, xyz=lxxbxxbxxhxxlxxh=V^2`
`Here x=8`
`y=18`
`And z=25`
`∴ v^2 = 8xx18xx25=3600`
`⇒ v= 60cm^3`
APPEARS IN
संबंधित प्रश्न
The capacity of a cuboidal tank is 50000 litres of water. Find the breadth of the tank, if its length and depth are respectively 2.5 m and 10 m.
A godown measures 60 m × 25 m × 15 m. Find the maximum number of wooden crates each measuring 1.5 m × 1.25 m × 0.5 m that can be stored in the godown.
If V is the volume of a cuboid of dimensions a, b, c and S is its surface area, then prove that
`1/V=2/S(1/a+1/b+1)`
Water in a canal 30 cm wide and 12 cm deep, is flowing with a velocity of l00 km per hour.How much area will it irrigate in 30 minutes if 8 cm of standing water is desired?
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.
A field is in the form of a rectangle of length 18 m and width 15 m. A pit, 7.5 m long, 6 m broad and 0.8 m deep, is dug in a corner of the field and the earth taken out is spread over the remaining area of the field. Find out the extent to which the level of the field has been raised.
A rectangular tank is 80 m long and 25 m broad. Water flows into it through a pipe whose cross-section is 25 cm2, at the rate of 16 km per hour. How much the level of the water rises in the tank in 45 minutes.
Find the volume of a cuboid whose dimensions are length = 60 m, breadth = 25 m, height = 1.5 m
A metallic cube with side 15 cm is melted and formed into a cuboid. If the length and height of the cuboid is 25 cm and 9 cm respectively then find the breadth of the cuboid
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 |
