मराठी
सी.आई.एस.सी.ई.आयसीएसई 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 - Mathematics

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

बेरीज
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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 21: Surface Area, Volume and Capacity - Exercise 21 (A) [पृष्ठ २३८]

APPEARS IN

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

संबंधित प्रश्‍न

Find the height of a cuboid whose base area is 180 cm2 and volume is 900 cm3?


The dimensions of a rectangular box are in the ratio of 2 : 3 : 4 and the difference between the cost ofcovering it with sheet of paper at the rates of Rs. 8 and Rs. 9.50 per m2 is Rs.1248. Find the dimensions of the box.


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.


A milk container is 8 cm long and 50 cm wide. What should be its height so that it can hold 4 litres of milk?


A cuboidal block of silver is 9 cm long, 4 cm broad and 3.5 cm in height. From it, beads of volume 1.5 cm3 each are to be made. Find the number of beads that can be made from the block.


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


A rectangular field is 70 m long and 60 m broad. A well of dimensions 14 m × 8 m × 6 m is dug outside the field and the earth dug-out from this well is spread evenly on the field. How much will the earth level rise?


An 8 m long cuboidal beam of wood when sliced produces four thousand 1 cm cubes and there is no wastage of wood in this process. If one edge of the beam is 0.5 m, find the third edge.


The dimensions of an oil tin are 26 cm × 26 cm × 45 cm. Find the area of the tin sheet required for making 20 such tins. If 1 square metre of the tin sheet costs Rs 10, find the cost of tin sheet used for these 20 tins.


A cloassroom is 11 m long, 8 m wide and 5 m high. Find the sum of the areas of its floor and the four walls (including doors, windows, etc.)


Find the length of the longest rod that can be placed in a room 12 m long, 9 m broad and 8 m high.


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 1 m. Find the cost of painting the walls at Rs 3.50 per square metre.


The dimensions of a cinema hall are 100 m, 50 m and 18 m. How many persons can sit in the hall, if each person requires 150 m3 of air?


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

 

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.


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 3456 cm3. If its length = 24 cm and breadth = 18 cm ; find its height.


The length, breadth, and height of a cuboid are in the ratio 6: 5 : 3. If its total surface area is 504 cm2; find its dimensions. Also, find the volume of the cuboid.


Find the volume and total surface area of a cube whose each edge is:
(i) 8 cm
(ii) 2 m 40 cm.


The total surface area of a cube is 216 cm2. Find its volume.


Find the height of the cylinder whose radius is 7 cm and the total surface area is 1100 cm2.


The sum of the radius and the height of a cylinder is 37 cm and the total surface area of the cylinder is 1628 cm2. Find the height and the volume of the cylinder.


The external dimensions of an open wooden box are 65 cm, 34 cm, and 25 cm. If the box is made up of wood 2 cm thick, find the capacity of the box and the volume of wood used to make it.


In a building, there are 24 cylindrical pillars. For each pillar, the radius is 28 m, and the height is 4 m. Find the total cost of painting the curved surface area of the pillars at the rate of ₹ 8 per m2.


Find the total surface area of the cube having the following side.
5.5 m

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

The dimensions of a hall is 10 m × 9 m × 8 m. Find the cost of white washing the walls and ceiling at the rate of ₹ 8.50 per m2 


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


A rectangular sheet of dimensions 25 cm × 7 cm is rotated about its longer side. Find the volume and the whole surface area of the solid thus generated.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×