- 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 plastic box $ 1.5 \mathrm{~m} $ long, $ 1.25 \mathrm{~m} $ wide and $ 65 \mathrm{~cm} $ deep is to he made. It is opened at the top. Ignoring the thickness of the plastic sheet, determine:(i) The area of the sheet required for making the box.

(ii) The cost of sheet for it, if a sheet measuring $ 1 \mathrm{~m}^{2} $ costs Rs. 20.

**Given:**

The length of the box $=1.5\ m$.

The breadth of the box $=1.25\ m$.

The height of the box $=65\ cm=0.65\ m$.

**To do:**

We have to find:

(i) The area of the sheet required for making the box.

(ii) The cost of sheet for it, if a sheet measuring \( 1 \mathrm{~m}^{2} \) costs Rs. 20.

**Solution:**

(i) Area of the sheet required $=2lb+2bh+2lh−lb$ (It is open at the top)

$=lb+2lh+2bh$

$=(1.5\times1.25)+2(1.5\times0.65)+2(1.25\times0.65)$

$=(1.875+1.95+1.625)$

$=5.45\ m^2$

ii) Cost of the sheet per square metre$= Rs.\ 20$.

Cost of sheet of $5.45\ m^2 = Rs.\ 5.45\times20$

$=Rs.\ 109$.

- Related Articles
- A plastic box \( 1.5 \mathrm{~m} \) long. \( 1.25 \mathrm{~m} \) wide and \( 65 \mathrm{~cm} \) deep is to be made. It is opened at the top. Ignoring the thickness of the plastic sheet, determine:(i) The area of the sheet required for making the box.(ii) The cost of sheet for it, if a sheet measuring \( 1 \mathrm{~m}^{2} \) costs \( \mathrm{Rs.} 20 \).
- A closed iron tank $12\ m$ long, $9\ m$ wide and $4\ m$ deep is to be made. Determine the cost of iron sheet used at the rate of $Rs.\ 5$ per metre sheet, sheet being $2\ m$ wide.
- It is required to make a closed cylindrical tank of height \( 1 \mathrm{~m} \) and base diameter \( 140 \mathrm{~cm} \) from a metal sheet. How many square metres of the sheet are required for the same?
- To protect a square painting of side \( 60 \mathrm{~cm} \), Rahul wants to paste a plastic sheet over it. What area of plastic sheet is required?
- An open box of length \( 1.5 \mathrm{~m} \). breadth \( 1 \mathrm{~m} \), and height \(1 \mathrm{~m} \) is to be made for use on trolley for carrying garden waste. How much sheet metal will be required to make this box? The inside and outside surface of the box is to be painted with rustproof paint at a rate of 150 rupees per sq.m. How much will it cost to paint the box?
- A bucket made of aluminium sheet is of height \( 20 \mathrm{~cm} \) and its upper and lower ends are of radius \( 25 \mathrm{~cm} \) and \( 10 \mathrm{~cm} \) respectively. Find the cost of making the bucket if the aluminium sheet costs \( â‚¹ 70 \) per \( 100 \mathrm{~cm}^{2} . \) (Use \( \left.\pi=3.14\right) . \)
- The inner diameter of a circular well is \( 3.5 \mathrm{~m} \). It is \( 10 \mathrm{~m} \) deep. Find(i) its inner curved surface area,(ii) the cost of plastering this curved surface at the rate of Rs. \( 40 \mathrm{per} \mathrm{m}^{2} \).
- A cylindrical road roller made of iron is \( 1 \mathrm{~m} \) long. Its internal diameter is \( 54 \mathrm{~cm} \) and the thickness of the iron sheet used in making the roller is \( 9 \mathrm{~cm} \). Find the mass of the roller, if \( 1 \mathrm{~cm}^{3} \) of iron has \( 7.8 \mathrm{gm} \) mass. (Use \( \left.\pi=3.14\right) \)
- Find the cost of digging a cuboidal pit \( 8 \mathrm{~m} \) long, \( 6 \mathrm{~m} \) broad and \( 3 \mathrm{~m} \) deep at the rate of Rs. 30 per \( \mathrm{m}^{3} \).
- An iron tank 30 m long, 10m wide and 8m deep is to be made from an iron sheet 4 m wide. If the tank is open from the top, find the cost of the iron sheet at the rate of 75 per square metre.
- 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?
- If the circumference of a circular sheet is \( 154 \mathrm{~m} \), find its radius. Also find the area of the sheet. (Take \( \left.\pi=\frac{22}{7}\right) \)
- A hemispherical tank is made up of an iron sheet \( 1 \mathrm{~cm} \) thick. If the inner radius is \( 1 \mathrm{~m} \), then find the volume of the iron used to make the tank.
- A room is 15 m long and \( 10 \mathrm{~m} \) broad. Find the cost of carpenting its floor if \( 1 . \) sq. \( \mathrm{cm} \) of carpet costs Rs. 2.00.
- A conical tent is \( 10 \mathrm{~m} \) high and the radius of its base is \( 24 \mathrm{~m} \). Find(i) slant height of the tent.(ii) cost of the canvas required to make the tent, if the cost of \( 1 \mathrm{~m}^{2} \) canvas is \( Rs.\ 70 \).

Advertisements