Advertisements
Advertisements
Question
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.
Solution
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
RELATED QUESTIONS
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.
The external dimensions of a closed wooden box are 48 cm, 36 cm, 30 cm. The box is made of 1.5 cm thick wood. How many bricks of size 6 cm x 3 cm x 0.75 cm can be put in this box?
How many cubic centimeters of iron are there in an open box whose external dimensions are 36 cm, 25 cm and I 6.5 cm, the iron being 1.5 cm thick throughout? If I cubic cm of iron weighs 15g, find the weight of the empty box in kg.
Water in a rectangular reservoir having base 80 m by 60 m i s 6.5 m deep. In what time can the water be emptied by a pipe ôf which the cross-section is a square of side 20 cm, if the water runs through the pipe at the rate of 15 km/hr.
A child playing with building blocks, which are of the shape of the cubes, has built a structure as shown in Fig. 18.12 If the edge of each cube is 3 cm, find the volume of the structure built by the child.
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 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
The surface area of the three coterminus faces of a cuboid are 6, 15 and 10 cm2 respectively. The volume of the cuboid is ______.
