हिंदी

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. - Mathematics

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`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 18: Surface Areas and Volume of a Cuboid and Cube - Exercise 18.2 [पृष्ठ २९]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 9
अध्याय 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.2 | Q 4 | पृष्ठ २९

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

A village, having a population of 4000, requires 150 litres of water per head per day. It has a tank measuring 20 m × 15 m × 6 m. For how many days will the water of this tank last?


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?


Three metal cubes with edges 6 cm, 8 cm and 10 cm respectively are melted together and formed into a single cube. Find the volume, surface area and diagonal of the new cube.


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 field is 200 m long and 150 m broad. There is a plot, 50 m long and 40 m broad, near thefield. The plot is dug 7 m deep and the earth taken out is spread evenly on the field. Byhow many meters is the level of the field raised? Give the answer to the second place of decimal.


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?


A godown is in the form of a cuboid of measures 60 m × 40 m × 30 m. How many cuboidal boxes can be stored in it if the volume of one box is 0.8 m3?

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  

The length of the longest pole that can be put in a room of dimensions (10 m × 10 m × 5 m) is ______.


Water flows from a tank with a rectangular base measuring 80 cm by 70 cm into another tank with a square base of side 60 cm. If the water in the first tank is 45 cm deep, how deep will it be in the second tank?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×