मराठी
सी.आई.एस.सी.ई.आयसीएसई ICSE Class 8

A Cuboid is 8 M Long, 12 M Broad and 3.5 High, Find Its (I) Total Surface Area (Ii) Lateral Surface Area - Mathematics

Advertisements
Advertisements

प्रश्न

A cuboid is 8 m long, 12 m broad and 3.5 high, Find its
(i) total surface area
(ii) lateral surface area

बेरीज
Advertisements

उत्तर

Length of a cuboid = 8 m

The breadth of a cuboid = 12 m
Height of a cuboid = 3.5 m

(i) Total surface area = 2(lb + bh + hl)
= 2(8 x 12 + 12 x 3.5 + 3.5 x 8)
= 2(96 + 42 + 28)
= 2 x 166 = 332 m2

(ii) Lateral surface area = 2h(l + b)
= 2 x 3.5(8 + 12) = 7 x 20= 140 m2

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 21: Surface Area, Volume and Capacity - Exercise 21 (E) [पृष्ठ २४४]

APPEARS IN

सेलिना Concise Mathematics [English] Class 8 ICSE
पाठ 21 Surface Area, Volume and Capacity
Exercise 21 (E) | Q 1 | पृष्ठ २४४

संबंधित प्रश्‍न

Parveen wanted to make a temporary shelter for her car, by making a box-like structure with tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can be rolled up). Assuming that the stitching margins are very small, and therefore negligible, how much tarpaulin would be required to make the shelter of height 2.5 m, with base dimensions 4 m × 3 m?


Daniel is painting the walls and ceiling of a cuboidal hall with length, breadth, and height of 15 m, 10 m, and 7 m, respectively. From each can of paint, 100 m2 of area is painted. How many cans of paint will she need to paint the room?


Water is pouring into a cubiodal reservoir at the rate of 60 litres per minute. If the volume of the reservoir is 108 m3, find the number of hours it will take to fill the reservoir.


Hameed has built a cubical water tank with lid for his house, with each other edge 1 .5 m long. He gets the outer surface of the tank excluding the base, covered with square tiles of side 25 cm. Find how much he would spend for the tiles, if the cost of tiles is Rs. 360 per dozen.


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 cuboidal vessel is 10 cm long and 5 cm wide. How high it must be made to hold 300 cm3 of a liquid?


A cuboidal wooden block contains 36 cm3 wood. If it be 4 cm long and 3 cm wide, find its height.


Find the volume in cubic metre (cu. m) of the cuboid whose dimensions is length = 10 m, breadth = 25 dm, height = 50 cm.


The length , breadth and height of a room are 5 m, 4.5 m and 3 m, respectively. Find the volume of the air it contains.


A swimming pool is 250 m long and 130 m wide. 3250 cubic metres of water is pumped into it. Find the rise in the level of water.


The areas of three adjacent faces of a cuboid are x, y and z. If the volume is V, prove that V2 = xyz.


If the length of a diagonal of a cube is `8 sqrt(3)` cm, then its surface area is


If the sum of all the edges of a cube is 36 cm, then the volume (in cm3) of that cube 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 each edge of a cube is increased by 50%, the percentage increase in its surface area is


The breadth and height of a rectangular solid are 1.20 m and 80 cm respectively. If the volume of the cuboid is 1.92 m3; find its length.


The curved surface area of a cylinder of height 14 cm is 88 cm2. Find the diameter of the base of the cylinder.


The total surface area of a cylinder is 6512 cm2 and the circumference of its bases is 88 cm. Find:
(i) its radius
(ii) its volume


Find the total surface area of the cuboid of length, breadth, and height as given below:
8 m, 5 m, 3.5 m

A matchbox is 4 cm long, 2.5 cm broad, and 1.5 cm in height. Its outer sides are to be covered exactly with craft paper. How much paper will be required to do so?


An open box of length 1.5 m, breadth 1 m, and height 1 m is to be made for use on a trolley for carrying garden waste. How much sheet metal will be required to make this box? The inside and outside surface of the box is to be painted with rust-proof paint. At a rate of 150 rupees per sqm, how much will it cost to paint the box?


The length and breadth of a cuboid are 20 cm and 15 cm respectively. If its volume is 2400 cm3, find its height.


The length breadth and height of a cuboid are in the ratio of 3 : 3 : 4. Find its volume in m3 if its diagonal is `5sqrt(34)"cm"`.


A room is 22m long, 15m broad and 6m high. Find the area of its four walls and the cost of painting including doors and windows at the rate of Rs.12per m2.


375 persons can be accommodated in a room whose dimensions are in the ratio of  6 : 4 : 1. Calculate the area of the four walls of the room if the each person consumes 64m3 of air.


The dimensions of a cuboidal box are 6 m × 400 cm × 1.5 m. Find the cost of painting its entire outer surface at the rate of ₹ 22 per m2.


The total surface area of a cuboid with dimension 10 cm × 6 cm × 5 cm is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×