English

How Many Cubic Centimeters of Iron Are There in an Open Box Whose External Dimensions Are 36 Cm, 25 Cm and I 6.5 Cm, the Iron Being 1.5 Cm Thick Throughout?

Advertisements
Advertisements

Question

How many cubic centimeters of iron are there in an open box whose external dimensions are 36 cm, 25 cm and I 6.5 cm, the iron being 1.5 cm thick throughout? If I cubic cm of iron weighs 15g, find the weight of the empty box in kg.

Advertisements

Solution

`"Outer dimensions"`

`l=36 m`

`b=25cm`

`h=16.5cm`

Inner dimensions

`l=36-(2xx1.5)=33cm`

`b=25-(3)=22cm`

`h=16.5-1.5=15cm`

Volume of iron = outer volume – inner volume

`=(36xx25xx16.5-33xx12xx15)cm^2=3960cm^3`

Weight of iron =`3960xx1.5gm=59400gm=59.4kg`

 

shaalaa.com
  Is there an error in this question or solution?
Chapter 18: Surface Areas and Volume of a Cuboid and Cube - Exercise 18.2 [Page 31]

APPEARS IN

R.D. Sharma Mathematics [English] Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.2 | Q 25 | Page 31

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold?


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


A child playing with building blocks, which are of the shape of the cubes, has built a structure as shown in Fig. 18.12 If the edge of each cube is 3 cm, find the volume of the structure built by the child.


To make an open fish tank, a glass sheet of 2 mm gauge is used. The outer length, breadth and height of the tank are 60.4 cm, 40.4 cm and 40.2 cm respectively. How much maximum volume of water will be contained in it?


Find the height of a cuboid whose volume is 275 cm3 and the base area is 25 cm2.

Find the volume of a cuboid whose dimensions are length = 60 m, breadth = 25 m, height = 1.5 m


The dimensions of a brick are 24 cm × 12 cm × 8 cm. How many such bricks will be required to build a wall of 20 m length, 48 cm breadth and 6 m height?


How many small cubes with edge of 20 cm each can be just accommodated in a cubical box of 2 m edge?


A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm and thickness of wood as 2.5 cm. The volume of the wood is ______.


Ramesh has three containers.

  1. Cylindrical container A having radius r and height h,
  2. Cylindrical container B having radius 2r and height 1/2 h, and
  3. Cuboidal container C having dimensions r × r × h

The arrangement of the containers in the increasing order of their volumes is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×