English

The Total Surface Area of a Cube is 216 Cm2. Find Its Volume. - Mathematics

Advertisements
Advertisements

Question

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

Sum
Advertisements

Solution

6(Edge)2 = Total surface area of a cube

6(Edge)2 = 216 cm2

=> (Edge)2 = `216/6`

=> (Edge)2 = 36

=> Edge = `sqrt(36)`

=> Edge = 6 cm

Volume of the given cube = (Edge)3 = (6)3 = 6 x 6 x 6 = 216 cm3

shaalaa.com
  Is there an error in this question or solution?
Chapter 21: Surface Area, Volume and Capacity - Exercise 21 (A) [Page 238]

APPEARS IN

Selina Concise Mathematics [English] Class 8 ICSE
Chapter 21 Surface Area, Volume and Capacity
Exercise 21 (A) | Q 7 | Page 238

RELATED QUESTIONS

Shanti Sweets Stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The bigger of dimensions 25 cm × 20 cm × 5 cm and the smaller of dimensions 15 cm × 12 cm × 5 cm. For all the overlaps, 5% of the total surface area is required extra. If the cost of the cardboard is Rs 4 for 1000 cm2, find the cost of cardboard required for supplying 250 boxes of each kind.


There are two cuboidal boxes as shown in the adjoining figure. Which box requires the lesser amount of material to make?

(a) (b)

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.


A 4 cm edge cube is cut into 1 cm edge cubes. Calculate the total surface area of all the small cubes.


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.


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.


How much clay is dug out in digging a well measuring 3 m by 2 m by 5 m?


Find the area of the cardboard required to make a closed box of length 25 cm, 0.5 m and height 15 cm.


Show that the product of the areas of the floor and two adjacent walls of a cuboid is the square of its volume.


A field is 150 m long and 100 m wide. A plot (outside the field) 50 m long and 30 m wide is dug to a depth of 8 m and the earth taken out from the plot is spread evenly in the field. By how much is the level of field raised?


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 sum of the length, breadth and depth of a cuboid is 19 cm and its diagonal is ` 5 sqrt(5)` cm. Its surface area is


If A1, A2, and A3 denote the areas of three adjacent faces of a cuboid, then its volume is


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 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.


A closed box is cuboid in shape with length = 40 cm, breadth = 30 cm and height = 50 cm. It is made of a thin metal sheet. Find the cost of metal sheet required to make 20 such boxes, if 1 m2 of metal sheet costs Rs. 45.


Find the volume of wood required to make a closed box of external dimensions 80 cm, 75 cm, and 60 cm, the thickness of walls of the box being 2 cm throughout.


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.


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

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.


Three identical cubes of side 4 cm are joined end to end. Find the total surface area and lateral surface area of the new resulting cuboid


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


All six faces of a cuboid are ______ in shape and of ______ area.


Find the capacity of water tank, in litres, whose dimensions are 4.2 m, 3 m and 1.8 m?


External dimensions of a closed wooden box are in the ratio 5:4:3. If the cost of painting its outer surface at the rate of Rs 5 per dm2 is Rs 11,750, find the dimensions of the box.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×