Advertisements
Advertisements
प्रश्न
A solid cube of edge 14 cm is melted down and recast into smaller and equal cubes each of the edge 2 cm; find the number of smaller cubes obtained.
Advertisements
उत्तर
Edge of the big solid cube = 14 cm
Volume of the big solid cube = 14 x 14 x 14 cm3 = 2744 cm3
Edge of the small cube = 2 cm
Volume of one small cube = 2 x 2 x 2 cm3 = 8 cm3
Number of smaller cubes obtained = `"Volume of big cube"/"Volume of one small cube"`
= `2744/8 = 343`
APPEARS IN
संबंधित प्रश्न
A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high. What is the area of the glass?
Shanti Sweets Stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The bigger of dimensions 25 cm × 20 cm × 5 cm and the smaller of dimensions 15 cm × 12 cm × 5 cm. For all the overlaps, 5% of the total surface area is required extra. If the cost of the cardboard is Rs 4 for 1000 cm2, find the cost of cardboard required for supplying 250 boxes of each kind.
There are two cuboidal boxes as shown in the adjoining figure. Which box requires the lesser amount of material to make?
 |
 |
| (a) | (b) |
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?
Find the lateral surface area and total surface area of a cuboid of length 80 cm, breadth 40 cm and height 20 cm.
Find the ratio of the total surface area and lateral surface area of a cube.
Find the volume of a cuboid whose length =1.2 m, breadth = 30 cm, height = 15 cm.
Find the volume of a cuboid whose length = 15 cm, breadth = 2.5 dm, height = 8 cm.
Find the volume in cubic metre (cu. m) of the cuboid whose dimensions is length = 10 m, breadth = 25 dm, height = 50 cm.
How much clay is dug out in digging a well measuring 3 m by 2 m by 5 m?
A rectangular diesel tanker is 2 m long, 2 m wide and 40 cm deep. How many litres of diesel can it hold?
The rainfall on a certain day was 6 cm. How many litres of water fell on 3 hectares of field on that day?
Find the area of the cardboard required to make a closed box of length 25 cm, 0.5 m and height 15 cm.
Find the length of the longest rod that can be placed in a room 12 m long, 9 m broad and 8 m high.
The dimensions of a room are 12.5 m by 9 m by 7 m. There are 2 doors and 4 windows in the room; each door measures 2.5 m by 1.2 m and each window 1.5 m by 1 m. Find the cost of painting the walls at Rs 3.50 per square metre.
Find the edge of a cube whose surface area is 432 m2.
If the length of a diagonal of a cube is `8 sqrt(3)` cm, then its surface area is
On a particular day, the rain fall recorded in a terrace 6 m long and 5 m broad is 15 cm. The quantity of water collected in the terrace is
If V is the volume of a cuboid of dimensions x, y, z and A is its surface area, then `A/V`
A room 5 m long, 4.5 m wide, and 3.6 m high have one door 1.5 m by 2.4 m and two windows, each 1 m by 0.75 m. Find :
(i) the area of its walls, excluding door and windows ;
(ii) the cost of distempering its walls at the rate of Rs.4.50 per m2.
(iii) the cost of painting its roof at the rate of Rs.9 per m2.
The internal length, breadth, and height of a closed box are 1 m, 80 cm, and 25 cm. respectively. If its sides are made of 2.5 cm thick wood; find :
(i) the capacity of the box
(ii) the volume of wood used to make the box.
Find the height of the cylinder whose radius is 7 cm and the total surface area is 1100 cm2.
Find the capacity of a cylindrical container with an internal diameter of 28 cm and a height of 20 cm.
A closed box is made of wood 5 mm thick. The external length, breadth and height of the box are 21 cm, 13 cm and 11 cm respectively. Find the volume of the wood used in making the box.
A cuboidal tin box opened at the top has dimensions 20 cm × 16 cm × 14 cm. What is the total area of metal sheet required to make 10 such boxes?
