मराठी

What Will Happen to the Volume of a Cuboid If Its Length is Doubled, Height is Doubled and Breadth is Sama? - Mathematics

Advertisements
Advertisements

प्रश्न

What will happen to the volume of a cuboid if its Length is doubled, height is doubled and breadth is sama?

थोडक्यात उत्तर

उत्तर

\[\text { Suppose that the length, breadth and height of the cuboid are l, b and h, respectively } . \]

\[\text { Then, volume }= l \times b \times h\]

\[\text { When its length is doubled, its length becomes 2 }\times l . \]

\[\text { When its height is double, it becomes 2 } \times h . \]

\[\text { The breadth b remains the same } . \]

\[\text { Now, volume of the new cuboid = length } \times \text { breadth }\times \text { height }\]

\[ = 2 \times l \times b \times 2 \times h\]

\[ = 4 \times l \times b \times h\]

\[ \therefore\text { It can be observed that the volume of the new cuboid is four times the initial volume  }.\]

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 21: Mensuration - II (Volumes and Surface Areas of a Cuboid and a Cube) - Exercise 21.1 [पृष्ठ ८]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 8
पाठ 21 Mensuration - II (Volumes and Surface Areas of a Cuboid and a Cube)
Exercise 21.1 | Q 8.2 | पृष्ठ ८

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. How much of tape is needed for all the 12 edges?


Find the lateral surface area and total surface area of a cuboid of length 80 cm, breadth 40 cm and height 20 cm.


Ravish wanted to make a temporary shelter for his 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 × 3m?


A tank is 8 m long, 6 m broad and 2 m high. How much water can it contain?


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.


The breadth of a room is twice its height, one half of its length and the volume of the room is 512 cu. dm. Find its dimensions.


The length, breadth, and height of a cuboid (rectangular solid) are 4 : 3: 2.
(i) If its surface area is 2548 cm2, find its volume.
(ii) If its volume is 3000 m3, find its surface area.


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 volume of wood used in making a closed box 22 cm by 18 cm by 14 cm, using a 1 cm thick wood. Also, find the cost of wood required to make the box at the rate of Rs. 5 per cm³ How many cubes of side 2 cm can be placed in the box?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×