English

The Volume of a Cuboid is 3456 Cm3. If Its Length = 24 Cm and Breadth = 18 Cm ; Find Its Height.

Advertisements
Advertisements

Question

The volume of a cuboid is 3456 cm3. If its length = 24 cm and breadth = 18 cm ; find its height.

Sum
Advertisements

Solution

The volume of the given cuboid = 3456 cm3.
Length of the given cuboid = 24 cm.
Breadth of the given cuboid = 18 cm
We know,
Length x Breadth x Height = Volume of a cuboid
⇒ 24 x 18 x Height = 3456
⇒ Height = `3456/(24 xx 18)`
⇒ Height = `3456/432`
⇒ Height = 8 cm

shaalaa.com
  Is there an error in this question or solution?
Chapter 23: Surface Area, Volume and Capacity - Exercise 21 (A) [Page 238]

APPEARS IN

Selina Concise Mathematics [English] Class 8 ICSE
Chapter 23 Surface Area, Volume and Capacity
Exercise 21 (A) | Q 2.1 | Page 238

RELATED QUESTIONS

The floor of a rectangular hall has a perimeter 250 m. If the cost of panting the four walls at the rate of Rs.10 per m2 is Rs.15000, find the height of the hall.

[Hint: Area of the four walls = Lateral surface area.]


A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.

(i) Which box has the greater lateral surface area and by how much?

(ii) Which box has the smaller total surface area and by how much?


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


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


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


Each edge of a cube is increased by 50%. Find the percentage increase in the surface area of the cube.


The paint in a certain container is sufficient to paint on area equal to 9.375 m2. How manybricks of dimension 22.5 cm × 10 cm × 7.5 cm can be painted out of this container?


Find the volume of a cuboid whose length = 15 cm, breadth = 2.5 dm, height = 8 cm.


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 swimming pool is 20 m long 15 m wide and 3 m deep. Find the cost of repairing the floor and wall at the rate of Rs 25 per square metre.


The walls and ceiling of a room are to be plastered. The length, breadth and height of the room are 4.5 m, 3 m and 350 cm, respectively. Find the cost of plastering at the rate of Rs 8 per square metre.


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


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.


The dimensions of a rectangular box are in the ratio of 2 : 3 : 4 and the difference between the cost of covering 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.


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.


A cuboid has total surface area of 372 cm2 and its lateral surface area is 180 cm2, find the area of its base.


Three cubes of each side 4 cm are joined end to end. Find the surface area of the resulting cuboid.


The surface area of a cuboid is 1300 cm2. If its breadth is 10 cm and height is 20 cm2, find its length.


If the areas of the adjacent faces of a rectangular block are in the ratio 2 : 3 : 4 and its volume is 9000 cm3, then the length of the shortest edge is


Three equal cubes are placed adjacently in a row. The ratio of the total surface area of the resulting cuboid to that of the sum of the surface areas of three cubes, is


The cost of constructing a wall 8 m long, 4 m high and 10 cm thick at the rate of Rs. 25 per m3 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 ______. 


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.


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 capacity of a rectangular tank is 5.2 m3 and the area of its base is 2.6 x 104 cm2; find its height (depth).


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


The areas of any two faces of a cuboid are equal.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×