- Trending Categories
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
A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is $ 30 \mathrm{~cm} $ long. $ 25 \mathrm{~cm} $ wide and $ 25 \mathrm{~cm} $ high.
(i) What is the area of the glass?
(ii) How much of tape is needed for all the 12 edges?
Given:
The length of the greenhouse $l$ $=30\ cm$.
The breadth of the greenhouse $b$ $=25\ cm$.
The height of the greenhouse $h$ $=25\ cm$.
To do:
We have to find:
(i) The is the area of the glass.
(ii) The tape needed for all the 12 edges.
Solution:
The area of the glass $=2lb+2bh+2lh$
$=2{lb+bh+lh}$
This implies,
$=2{30\times25}+{25\times25}+{30\times25}$
$=2{750+625+750}$
$=(2\times2125)$
$=4250\ cm^2$
Therefore,
The area of the glass is $4250\ cm^2$.
(ii) The total length of the tape required $=$sum of the lengths of the edges of the greenhouse
$=4\times l+4\times b+4\times h$
$=4(l+b+h)$
$=4(30+25+25)$
$=320\ cm$
Therefore,
The total length of the tape required for all the 12 edges is $320\ cm$.
- Related Articles
- The lid of a rectangular box of sides \( 40 \mathrm{~cm} \) by \( 10 \mathrm{~cm} \) is sealed all round with tape. What is the length of the tape required?
- Find the capacity in litres of a conical vessel with(i) radius \( 7 \mathrm{~cm} \), slant height \( 25 \mathrm{~cm} \)(ii) height \( 12 \mathrm{~cm} \), slant height \( 13 \mathrm{~cm} \).
- Is the triangle with sides \( 25 \mathrm{~cm}, 5 \mathrm{~cm} \) and \( 24 \mathrm{~cm} \) a right triangle? Give reasons for your answer.
- A cubical box has each edge \( 10 \mathrm{~cm} \) and another cuboidal box is \( 12.5 \mathrm{~cm} \) long, \( 10 \mathrm{~cm} \) wide and \( 8 \mathrm{~cm} \) 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?
- The circumference of the base of a cylindrical vessel is \( 132 \mathrm{~cm} \) and its height is \( 25 \mathrm{~cm} \). How many litres of water can it hold? \( \left(1000 \mathrm{~cm}^{3}=1 l\right) \).
- A canal is \( 300 \mathrm{~cm} \) wide and \( 120 \mathrm{~cm} \) deep. The water in the canal is flowing with a speed of \( 20 \mathrm{~km} / \mathrm{h} \). How much area will it irrigate in 20 minutes if \( 8 \mathrm{~cm} \) of standing water is desired?
- The sides of a rhombus measures \( 12 \mathrm{~cm} \) and its diagonal is \( 10 \mathrm{~cm} \). What is the area of the rhombus?
- A solid iron pole having cylindrical portion \( 110 \mathrm{~cm} \) high and of base diameter \( 12 \mathrm{~cm} \) is surmounted by a cone \( 9 \mathrm{~cm} \) high Find the mass of the pole, given that the mass of \( 1 \mathrm{~cm}^{3} \) of iron is \( 8 \mathrm{gm} \).
- A table-top measures \( 2 \mathrm{~m} 25 \mathrm{~cm} \) by \( 1 \mathrm{~m} 50 \mathrm{~cm} \). What is the perimeter of the table-top?
- A right triangle \( \mathrm{ABC} \) with sides \( 5 \mathrm{~cm}, 12 \mathrm{~cm} \) and \( 13 \mathrm{~cm} \) is revolved about the side \( 12 \mathrm{~cm} \). Find the volume of the solid so obtained.
- Two sides of a triangle are \( 12 \mathrm{~cm} \) and \( 14 \mathrm{~cm} \). The perimeter of the triangle is \( 36 \mathrm{~cm} \). What is its third side?
- A lid of a rectangular box of sides 40 cm by 10 cm is sealed all around with tape such that there is an overlapping of 5 cm of the tape. What is the length of the tape used?
- An isosceles triangle has perimeter \( 30 \mathrm{~cm} \) and each of the equal sides is \( 12 \mathrm{~cm} \). Find the area of the triangle.
- Find the surface area of a sphere of radius (i) \( 10.5 \mathrm{~cm} \)(ii) \( 5.6 \mathrm{~cm} \)(iii) \( 14 \mathrm{~cm} \).
- Two sides of a triangle are \( 12 \mathrm{~cm} \) and \( 14 \mathrm{~cm} \). The perimeter of the triangle is \( 36 \mathrm{~cm} \). What is the length of the third side?

Advertisements