Advertisements
Advertisements
प्रश्न
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.
उत्तर
Given external dimensions of cuboid are
`l=25cm, b=18cm,h=15cm.`
∴External volume =`lxxbxxh`
`=25xx18xx15cm^2`
`=6750cm^2`
Internal dimension of cuboid.
`l=25-2xx"thickness"=25-4=21cm.`
`h=15-4=11cm.`
internal volume = l x b x h
`=21xx14xx11cm^3`
`=3234cm^3`
∴Volume of liquid that can be placed =`3234cm^3`
Now, volume of wood = external volume – Internal volume
`=6750-3324`
`=3516 cm^3`
APPEARS IN
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?
A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.
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?
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.
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 length of the longest pole that can be put in a room of dimensions (10 m × 10 m × 5 m) is ______.
A swimming pool is 200 m by 50 m and has an average depth of 2 m. By the end of a summer day, the water level drops by 2 cm. How many cubic metres of water is lost on the day?
