Advertisements
Advertisements
प्रश्न
There are two cuboidal boxes as shown in the adjoining figure. Which box requires the lesser amount of material to make?
![]() |
![]() |
| (a) | (b) |
Advertisements
उत्तर
For this we find their areas -
(a) Length of the first box (l) = 60 cm
Width of first box (b) = 40 cm
Height of first box (h) = 50 cm
Total surface area of first box = 2(lb + bh + hl)
= 2(60 × 40 + 40 × 50 + 50 × 60)
= 2(2400 + 2000 + 3000)
= 2 × 7400
= 14800 cm2
(b) Length of the second box (l) = 50 cm
Width of second box (D) = 50 cm
Height of second box (h) = 50 cm
Total surface area of second box = 2(lb + bh + hl)
= 2(50 × 50 + 50 × 50 + 50 × 50)
= 2(2500 + 2500 + 2500)
= 2 × 7500
= 15000 cm2
Here the area of the first box is less. Hence, less material is required to make it.
APPEARS IN
संबंधित प्रश्न
Each edge of a cube is increased by 50%. Find the percentage increase in the surface area of the cube.
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 I m. Find the cost of painting the walls at Rs. 3.50 per square metre.
A wooden bookshelf has external dimensions as follows: Height = 110 cm, Depth = 25 cm, Breadth = 85 cm in following figure. The thickness of the plank is 5 cm everywhere. The external faces are to be polished and the inner faces are to be painted. If the rate of polishing is 20 paise per cm2 and the rate of painting is 10 paise per cm2. Find the total expenses required for polishing and painting the surface of the bookshelf.

A water tank is 3 m long, 2 m broad and 1 m deep. How many litres of water can it hold?
How many planks each of which is 3 m long, 15 cm broad and 5 cm thick can be prepared from a wooden block 6 m long, 75 cm broad and 45 cm thick?
Find the surface area of a cuboid whose length = 6 dm, breadth = 8 dm, height = 10 dm.
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 length of a hall is 18 m and the width 12 m. The sum of the areas of the floor and the flat roof is equal to the sum of the areas of the four walls. Find the height of the wall.
Four cubes, each of edge 9 cm, are joined as shown below :

Write the dimensions of the resulting cuboid obtained. Also, find the total surface area and the volume
The surface area of a cuboid formed by joining two cubes of side a face to face is ______.


