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
Find the cost of digging a cuboidal pit 8 m long, 6 m broad and 3 m deep at the rate of Rs 30 per m3.
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?
A cube of 9 cm edge is immersed completely in a rectangular vessel containing water. Ifthe dimensions of the base are 15 cm and 12 cm, find the rise in water level in the vessel.
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.
Volume of a cuboid is 34.50 cubic metre. Breadth and height of the cuboid is 1.5m and 1.15m respectively. Find its length.
To make an open fish tank, a glass sheet of 2 mm gauge is used. The outer length, breadth and height of the tank are 60.4 cm, 40.4 cm and 40.2 cm respectively. How much maximum volume of water will be contained in it?
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
The length, breadth and height of a chocolate box are in the ratio 5 : 4 : 3. If its volume is 7500 cm3, then find its dimensions
The volume of a container is 1440 m3. The length and breadth of the container are 15 m and 8 m respectively. Find its height
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 |
