Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
Internal length of the closed box = 1m = 100 cm
breadth = 80 cm
height = 25 cm
volume = `100 xx 80 xx 25`
= 200000 cm3
External length of the box = `(100 + 2 xx 2.5)`
= 100 + 5 = 105 cm
External breadth = `(80 + 2 xx 2.5)`
= 80 + 5 = 85 cm
External height = `(25 + 2 xx 2.5)`
= (25 + 5) = 30 cm
External volume = `105 xx 85 xx 30` cm3
= 267750 cm3
(i) The capacity of the box = `100 xx 80 xx 25` cm3
= 200000 cm3
= `200000/(100 xx 100 xx 100)` m3
= 0.2 m3
(ii) The volume of wood used to make the box
= External volume - Internal volume
= 267750 - 200000
= 67750 cm3
= `67750/(100 xx 100 xx 100)`m3
= 0.06775 m3
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. How much of tape is needed for all the 12 edges?
There are two cuboidal boxes as shown in the adjoining figure. Which box requires the lesser amount of material to make?
 |
 |
| (a) | (b) |
Mary wants to decorate her Christmas tree. She wants to place the tree on a wooden block
covered with coloured paper with picture of Santa Claus on it. She must know the exact
quantity of paper to buy for this purpose. If the box has length, breadth and height as 80
cm, 40 cm and 20 cm respectively. How many square sheets of paper of side 40 cm would
she require?
A closed iron tank 12 m long, 9 m wide and 4 m deep is to be made. Determine the cost of iron sheet used at the rate of Rs. 5 per metre sheet, sheet being 2 m wide.
An open box is made of wood 3 cm thick. Its external length, breadth and height are 1.48 m, 1.16 m and 8.3 m. Find the cost of painting the inner surface of Rs 50 per sq. metre.
An ice-cream brick measures 20 cm by 10 cm by 7 cm. How many such bricks can be stored in deep fridge whose inner dimensions are 100 cm by 50 cm by 42 cm?
The volume of a cuboidal box is 48 cm3. If its height and length are 3 cm and 4 cm respectively, find its breadth.
Find the volume in cubic metre (cu. m) of the cuboid whose dimensions islength = 4 m, breadth = 2.5 m, height = 50 cm.
A rectangular diesel tanker is 2 m long, 2 m wide and 40 cm deep. How many litres of diesel can it hold?
Show that the product of the areas of the floor and two adjacent walls of a cuboid is the square of its volume.
A classroom is 7 m long, 6 m broad and 3.5 m high. Doors and windows occupy an area of 17 m2. What is the cost of white-washing the walls at the rate of Rs 1.50 per m2.
A closed iron tank 12 m long, 9 m wide and 4 m deep is to be made. Determine the cost of iron sheet used at the rate of Rs 5 per metre sheet, sheet being 2 m wide.
The surface area of a cuboid is 1300 cm2. If its breadth is 10 cm and height is 20 cm2, find its length.
If the areas of the adjacent faces of a rectangular block are in the ratio 2 : 3 : 4 and its volume is 9000 cm3, then the length of the shortest edge is
10 cubic metres clay is uniformly spread on a land of area 10 ares. the rise in the level of the ground is
If l is the length of a diagonal of a cube of volume V, then
The volume of a cuboid is 3456 cm3. If its length = 24 cm and breadth = 18 cm ; find its height.
Find the volume and total surface area of a cube whose each edge is:
(i) 8 cm
(ii) 2 m 40 cm.
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.
A tank 30 m long, 24 m wide, and 4.5 m deep is to be made. It is open from the top. Find the cost of iron-sheet required, at the rate of ₹ 65 per m2, to make the tank.
Find the capacity of a cylindrical container with an internal diameter of 28 cm and a height of 20 cm.
The sum of the radius and the height of a cylinder is 37 cm and the total surface area of the cylinder is 1628 cm2. Find the height and the volume of the cylinder.
If the edge of a cube is 8 cm long, find its total surface area.
The total surface area of a cuboid is 46m2. If its height is 1m and breadth 3m, find its length and volume.
A square plate of side 'x' cm is 4 mm thick. If its volume is 1440 cm3; find the value of 'x'.
Three identical cubes of side 4 cm are joined end to end. Find the total surface area and lateral surface area of the new resulting cuboid
Two cuboids with equal volumes will always have equal surface areas.
