मराठी

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.

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.

Advertisements

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`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 18: Surface Areas and Volume of a Cuboid and Cube - Exercise 18.2 [पृष्ठ २९]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 9
पाठ 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.2 | Q 5 | पृष्ठ २९

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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?


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 wall of length 10 m was to be built across an open ground. The height of the wall is 4 m and thickness of the wall is 24 cm. If this wall is to be built up with bricks whose dimensions are 24 cm × 12 cm × 8 cm, How many bricks would be required?


The length, breadth and depth of a pond are 20.5 m, 16 m and 8 m respectively. Find the capacity of the pond in litres


The dimensions of a brick are 24 cm × 12 cm × 8 cm. How many such bricks will be required to build a wall of 20 m length, 48 cm breadth and 6 m height?


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


The volume of a cuboid is 660 cm3 and the area of the base is 33 cm2. Its height is


The number of bricks each measuring 50 cm × 30 cm × 20 cm that will be required to build a wall whose dimensions are 5 m × 3 m × 2 m is


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

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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×