English
Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9

A metallic cube with side 15 cm is melted and formed into a cuboid. If the length and height of the cuboid is 25 cm and 9 cm respectively then find the breadth of the cuboid

Advertisements
Advertisements

Question

A metallic cube with side 15 cm is melted and formed into a cuboid. If the length and height of the cuboid is 25 cm and 9 cm respectively then find the breadth of the cuboid

Sum
Advertisements

Solution

Side of a cube (a) = 15 cm

Length of a cuboid (l) = 25 cm

Height of a cuboid (h) = 9 cm

Volume of the cuboid = Volume of the cube

l × b × h = a3

25 × b × 9 = 15 × 15 × 15

b = `(15 xx 15 xx 15)/(25 xx 9)`

= 15 cm

Breadth of the cuboid = 15 cm

shaalaa.com
  Is there an error in this question or solution?
Chapter 7: Mensuration - Exercise 7.3 [Page 263]

APPEARS IN

Samacheer Kalvi Mathematics [English] Class 9 TN Board
Chapter 7 Mensuration
Exercise 7.3 | Q 9 | Page 263

RELATED QUESTIONS

If the area of three adjacent faces of a cuboid are 8 `cm^2`, 18 `cm^3` and 25 `cm^3`. Find the
volume of the cuboid.


Three metal cubes with edges 6 cm, 8 cm and 10 cm respectively are melted together and formed into a single cube. Find the volume, surface area and diagonal of the new cube.


The external dimensions of a closed wooden box are 48 cm, 36 cm, 30 cm. The box is made of 1.5 cm thick wood. How many bricks of size 6 cm x 3 cm x 0.75 cm can be put in this box?


A field is in the form of a rectangle of length 18 m and width 15 m. A pit, 7.5 m long, 6 m broad and 0.8 m deep, is dug in a corner of the field and the earth taken out is spread over the remaining area of the field. Find out the extent to which the level of the field has been raised.


Volume of a cuboid is 34.50 cubic metre. Breadth and height of the cuboid is 1.5m and 1.15m respectively. Find its length.


The dimensions of a match box are 6 cm × 3.5 cm × 2.5 cm. Find the volume of a packet containing 12 such match boxes


Volume of regular solids such as cube and cuboid can be found by multiplying the dimensions. Complete the given table by finding the volume of the given objects

S.No. Objects l b h Volume
(cubic cm)
1. Note books 6 cm 15 cm 1 cm  
2. Name board 20 cm 90 cm 2 cm  
3. Show case cub board 70 cm 250 cm 70 cm  
4. Gift box 10 cm 10 cm 10 cm  
5. Dice 1 cm 1 cm 1 cm  

The surface area of the three coterminus faces of a cuboid are 6, 15 and 10 cm2 respectively. The volume of the cuboid is ______.


A carpenter makes a box which has a volume of 13,400 cm3. The base has an area of 670 cm2. What is the height of the box?


A birthday cake has two tiers as shown in the figure below. Find the volume of the cake.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×