Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
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?
Two cubes, each of volume 512 cm3 are joined end to end. Find the surface area of the resulting cuboid.
A box with lid is made of 2 cm thick wood. Its external length, breadth and height are 25 cm, 18 cm and 15 cm respectively. How much cubic cm of a liquid can be placed in it? Also, find the volume of the wood used in it.
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?
Find the volume of a cuboid whose dimensions are length = 60 m, breadth = 25 m, height = 1.5 m
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
A birthday cake has two tiers as shown in the figure below. Find the volume of the cake.
![]() |
![]() |


