हिंदी
सी.आई.एस.सी.ई.आईसीएसई ICSE Class 8

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

Advertisements
Advertisements

प्रश्न

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

योग
Advertisements

उत्तर

Edge of each cube = 9 cm

(i) Length of the cuboid fonned by 4 cubes (l) = 9 x 4 = 36 cm
Breadth (b) = 9 cm and height (h) = 9 cm

(ii) Total surface area of the cuboid = 2(lb + bh + hl)
= 2 (36 x 9 + 9 x 9 + 9 x 36) cm2
= 2 (324 + 81 + 324) cm2
= 2 x 729 cm2
= 1458 cm2

(iii) Volume = l x b x h = 36 x 9 x 9 cm2 = 2916 cm3

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 23: Surface Area, Volume and Capacity - Exercise 21 (A) [पृष्ठ २३८]

APPEARS IN

सेलिना Concise Mathematics [English] Class 8 ICSE
अध्याय 23 Surface Area, Volume and Capacity
Exercise 21 (A) | Q 12 | पृष्ठ २३८

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. What is the area of the glass?


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


How many wooden cubical blocks of side 25 cm can be cut from a log of wood of size 3 m by 75 cm by 50 cm, assuming that there is no wastage?


Find the number of cuboidal boxes measuring 2 cm by 3 cm by 10 cm which can be stored in a carton whose dimensions are 40 cm, 36 cm and 24 cm.


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?


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?


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

 

If each edge of a cuboid of surface area S is doubled, then surface area of the new cuboid is


Volume of a cuboid is 12 cm3. The volume (in cm3) of a cuboid whose sides are double of the above cuboid is


The number of cubes of side 3 cm that can be cut from a cuboid of dimensions 10 cm × 9 cm × 6 cm, is ______. 


If l is the length of a diagonal of a cube of volume V, then


Total surface area of a box of cuboid shape is 500 sq. unit. Its breadth and height is 6 unit and 5 unit respectively. What is the length of that box ?


The dimensions of a Cinema Hall are 100 m, 60 m, and 15 m. How many persons can sit in the hall if each requires 150 m3 of air? 


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


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.


The dimension of a class-room are; length = 15 m, breadth = 12 m and height = 7.5 m. Find, how many children can be accommodated in this class-room; assuming 3.6 m3 of air is needed for each child.


The length, breadth, and height of a room are 6 m, 5.4 m, and 4 m respectively. Find the area of :
(i) its four-walls
(ii) its roof.


A closed box measures 66 cm, 36 cm and 21 cm from outside. If its walls are made of metal-sheet, 0.5 cm thick; find :
(i) the capacity of the box ;
(ii) the volume of metal-sheet and
(iii) weight of the box, if 1 cm3 of metal weighs 3.6 gm.


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 curved surface area and the total surface area of a right circular cylinder whose height is 15 cm and the diameter of the cross-section is 14 cm.


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


Find the total surface area of the cuboid in length, breadth, and height as given below:
2.5 m, 2 m, 2.4 m

The length, breadth, and height of a rectangular solid are in the ratio 6 : 4 :3. If the total surface area is 1728 cm2. Find its dimensions.


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


The surface area of a cuboid formed by joining two cubes of side a face to face is ______.


Three cubes each of side 10 cm are joined end to end. Find the surface area of the resultant figure.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×