![Trending Articles on Technical and Non Technical topics](/images/trending_categories.jpeg)
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
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.
Given:
The breadth of a room is twice its height, one half of its length and the volume of the room is $512$ cu. dm.
To do:
We have to find its dimensions.
Solution:
Let the breadth of the room be $(b) = x$
This implies,
Height of the room $(h)=\frac{x}{2}$
Length of the room $(l)=2 x$
Therefore,
Volume of the room $=l b h$
$=x \times \frac{x}{2} \times 2 x$
$=x^{3}$
$x^{3}=512$
$=(8)^{3}$
$\Rightarrow x=8$
This implies,
Length $=2 x$
$=2 \times 8$
$=16 \mathrm{dm}$
Breadth $=x$
$=8 \mathrm{dm}$
Height $=\frac{x}{2}$
$=\frac{8}{2}$
$=4 \mathrm{dm}$
Advertisements