मराठी

There are two cuboidal boxes as shown in the adjoining figure. Which box requires the lesser amount of material to make? (a) (b) - Mathematics

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)
बेरीज

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.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 11: Mensuration - Exercise 11.3 [पृष्ठ १८६]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 8
पाठ 11 Mensuration
Exercise 11.3 | Q 1 | पृष्ठ १८६

संबंधित प्रश्‍न

The paint in a certain container is sufficient to paint an area equal to 9.375 m2. How many bricks of dimensions 22.5 cm × 10 cm × 7.5 cm can be painted out of this container?


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?


The cost of preparing the walls of a room 12 m long at the rate of Rs. 1.35 per square metre is Rs. 340.20 and the cost of matting the floor at 85 paise per square metre is Rs. 91.80. Find the height of the room.


If V is the volume of a cuboid of dimensions a, b, c and S is its surface area, then prove that \[\frac{1}{V} = \frac{2}{S}\left( \frac{1}{a} + \frac{1}{b} + \frac{1}{c} \right)\]


A rectangular water reservoir contains 105 m3 of water. Find the depth of the water in the reservoir if its base measures 12 m by 3.5 m.


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.


Find the edge of a cube whose surface area is 432 m2.

 

A solid cuboid of metal has dimensions 24 cm, 18 cm, and 4 cm. Find its volume.


A wall 9 m long, 6 m high and 20 cm thick, is to be constructed using bricks of dimensions 30 cm, 15 cm, and 10 cm. How many bricks will be required?


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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×