Advertisements
Advertisements
Question
A cuboid is of dimensions 60 cm × 54 cm × 30 cm. How many small cubes with side 6 cm can be placed in the given cuboid?
Advertisements
Solution
Volume of cuboid = 60 cm × 54 cm × 30 cm = 97200 cm3
Side of the cube = 6 cm
Volume of the cube = (6)3 cm3 = 216 cm3
Required number of cubes = `"Volume of the cuboid"/"Volume of the cube"`
`(60 xx 54 xx 30 cm^3)/(6 xx 6 xx 6 cm^3)`
= 450 cm.
Thus, 450 cubes can be placed in the given cuboid.
APPEARS IN
RELATED QUESTIONS
The length and breadth of a hall are in the ratio 4: 3 and its height is 5.5 metres. The cost of decorating its walls (including doors and windows) at Rs. 6.60 per square metre is Rs. 5082. Find the length and breadth of the room.
What will happen to the volume of a cuboid if its Length is doubled, height is doubled and breadth is sama?
A cuboidal block of silver is 9 cm long, 4 cm broad and 3.5 cm in height. From it, beads of volume 1.5 cm3 each are to be made. Find the number of beads that can be made from the block.
Find the length of the longest rod that can be placed in a room 12 m long, 9 m broad and 8 m high.
A cuboid has total surface area of 372 cm2 and its lateral surface area is 180 cm2, find the area of its base.
Three equal cubes are placed adjacently in a row. The ratio of the total surface area of the resulting cuboid to that of the sum of the surface areas of three cubes, is
Volume of a cuboid is 12 cm3. The volume (in cm3) of a cuboid whose sides are double of the above cuboid is
The length, breadth, and height of a cuboid are in the ratio 5 : 3: 2. If its volume is 240 cm3; find its dimensions. Also, find the total surface area of the cuboid.
The height of a circular cylinder is 20 cm and the diameter of its base is 14 cm. Find:
(i) the volume
(ii) the total surface area.
The length of a cold storage is double its breadth. Its height is 3m. The area of its four walls including doors is 108m2. Find its volume.
