हिंदी

Length, breadth and height of a cuboid shape box of medicine is 20 cm, 12 cm and 10 cm respectively. Find the surface area of vertical faces and total surface area of this box.

Advertisements
Advertisements

प्रश्न

Length, breadth and height of a cuboid shape box of medicine is 20 cm, 12 cm and 10 cm respectively. Find the surface area of vertical faces and total surface area of this box.

योग
Advertisements

उत्तर

Length of the box, l = 20 cm

Breadth of the box, b = 12 cm

Height of the box, h = 10 cm

∴ The surface area of the vertical faces of the box

= 2(l + b) × h

= 2(20 + 12) × 10

= 2 × 32 × 10

= 640 cm2

Also,

The total surface area of the box

= 2(lb + bh + hl)

= 2(20 × 12 + 12 × 10 + 10 × 20)

= 2(240 + 120 + 200)

= 2 × 560

= 1120 cm2

Thus, the surface area of the vertical faces and the total surface area of the box are 640 cm2 and 1120 cm2, respectively.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Surface Area and Volume - Practice Set 9.1 [पृष्ठ ११५]

APPEARS IN

बालभारती Mathematics 2 [English] Standard 9 Maharashtra State Board
अध्याय 9 Surface Area and Volume
Practice Set 9.1 | Q 1. | पृष्ठ ११५

संबंधित प्रश्न

The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of Rs 7.50 per m2.


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 cube of edge 10 cm.


Find the ratio of the total surface area and lateral surface area of a 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.


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.


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.


Find the volume in cubic metre (cu. m) of the cuboid whose dimensions is length = 12 m, breadth = 10 m, height = 4.5 cm.


A rectangular diesel tanker is 2 m long, 2 m wide and 40 cm deep. How many litres of diesel can it hold?


If the perimeter of each face of a cube is 32 cm, find its lateral surface area. Note that four faces which meet the base of a cube are called its lateral faces.


The length, width and height of a rectangular solid are in the ratio of 3 : 2 : 1. If the volume of the box is 48cm3, the total surface area of the box is


Find the volume and the total surface area of a cuboid, whose :

l = 3.5 m, b = 2.6 m and h = 90 cm


The volume of a cuboid is 7.68 m3. If its length = 3.2 m and height = 1.0 m; find its breadth.


Find the length of each edge of a cube, if its volume is :
(i) 216 cm3
(ii) 1.728 m3


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


The ratio between the curved surface area and the total surface area of a cylinder is 1: 2. Find the ratio between the height and the radius of the cylinder.


The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four walls at the rate of ₹ 10 per m2 is ₹ 15,000, find the height of the hall.


Find the total surface area of the cube having the following side.
3 cm

Find the total surface area of the cuboid of length, breadth, and height as given below:
12 cm, 10 cm, 5 cm

A metallic sheet is of the rectangular shape with dimensions 48cm x 36cm. From each one of its corners, a square of 8cm is cutoff. An open box is made of the remaining sheet. Find the volume of the box.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×