Parveen wanted to make a temporary shelter for her car, by making a box-like structure with tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can be rolled up). Assuming that the stitching margins are very small, and therefore negligible, how much tarpaulin would be required to make the shelter of height $ 2.5 \mathrm{~m} $, with base dimensions $ 4 \mathrm{~m} \times 3 \mathrm{~m} $ ?
Given:
Parveen wanted to make a temporary shelter for her car by making a box-like structure with a tarpaulin that covers all four sides and the top of the tire car (with the front face as a flap which can be rolled up).
The shelter of height $2.5\ m$ with base dimensions $4\ m \times 3\ m$.
To do:
We have to find the area of the tarpaulin required.
Solution:
Length of the base $(l) = 4\ m$
Breadth of the base $(b) = 3\ m$
Height $(h) = 2.5\ m$
Therefore,
Area of tarpaulin used $=$ Area of the walls $+$ Area of the roof
$=2 h(l+b)+lb$
$=2 \times 2.5(4+3)+4 \times 3$
$=5 \times 7+12$
$=35+12$
$=47 \mathrm{~m}^{2}$
The area of the tarpaulin required is $47\ m^2$.
Related Articles
- Ravish wanted to make a temporary shelter for his car by making a box-like structure with tarpaulin that covers all the four sides and the top of tire car (with the front face as a flap which can be rolled up). Assuming that the stitching margins are very small, and therefore negligible, how much tarpaulin would be required to make (he shelter of height $2.5\ m$ with base dimensions $4\ m \times 3\ m$?
- What length of tarpaulin \( 3 \mathrm{~m} \) wide will be required to make conical tent of height \( 8 \mathrm{~m} \) and base radius \( 6 \mathrm{~m} \) ? Assume that the extra length of material that will be required for stitching margins and wastage in cutting is approximately \( 20 \mathrm{~cm} \) (Use \( \pi=3.14 \) ).
- What length of tarpaulin $3\ m$ wide will be required to make a conical tent of height $8\ m$ and base radius $6\ m$? Assume that the extra length of material will be required for stitching margins and wastage in cutting is approximately $20\ cm$. (Use $\pi = 3.14$)
- A godown measures \( 40 \mathrm{~m} \times 25 \mathrm{~m} \times 15 \mathrm{~m} \). Find the maximum number of wooden crates each measuring \( 1.5 \mathrm{~m} \times 1.25 \mathrm{~m} \times 0.5 \mathrm{~m} \) that can be stored in the godown.
- In the centre of a rectangular lawn of dimensions \( 50 \mathrm{~m} \times 40 \mathrm{~m} \), a rectangular pond has to be constructed so that the area of the grass surrounding the pond would be \( 1184 \mathrm{~m}^{2} \). Find the length and breadth of the pond."
- Sides of a triangular field are \( 15 \mathrm{~m}, 16 \mathrm{~m} \) and \( 17 \mathrm{~m} \). With the three corners of the field a cow, a buffalo and a horse are tied separately with ropes of length \( 7 \mathrm{~m} \) each to graze in the field. Find the area of the field which cannot be grazed by three animals.
- The length and breadth of three rectangles are as given below :(a) \( 9 \mathrm{~m} \) and \( 6 \mathrm{~m} \)(b) \( 17 \mathrm{~m} \) and \( 3 \mathrm{~m} \)(c) \( 4 \mathrm{~m} \) and \( 14 \mathrm{~m} \)Which one has the largest area and which one has the smallest?
- A tent consists of a frustum of a cone capped by a cone. If the radii of the ends of the frustum be \( 13 \mathrm{~m} \) and \( 7 \mathrm{~m} \), the height of the frustum be \( 8 \mathrm{~m} \) and the slant height of the conical cap be \( 12 \mathrm{~m} \), find the canvas required for the tent. \( \quad \) (Take: \( \pi=22 / 7) \)
- The angles of elevation of the top of a tower from two points at a distance of \( 4 \mathrm{~m} \) and \( 9 \mathrm{~m} \) from the base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is \( 6 \mathrm{~m} \).
- A \( 16 \mathrm{~m} \) deep well with diameter \( 3.5 \mathrm{~m} \) is dug up and the earth from it is spread evenly to form a platform \( 27.5 \mathrm{~m} \) by \( 7 \mathrm{~m} \). Find the height of the platform.
- 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?
- Find the areas of the rectangles whose sides are :(a) \( 3 \mathrm{~cm} \) and \( 4 \mathrm{~cm} \)(b) \( 12 \mathrm{~m} \) and \( 21 \mathrm{~m} \)(c) \( 2 \mathrm{~km} \) and \( 3 \mathrm{~km} \)(d) \( 2 \mathrm{~m} \) and \( 70 \mathrm{~cm} \)
- The length, breadth and height of a room are \( 5 \mathrm{~m}, 4 \mathrm{~m} \) and \( 3 \mathrm{~m} \) respectively. Find the cost of whitewashing the walls of the room and the ceiling at the rate of Rs. \( 7.50 \) per \( \mathrm{m}^{2} \).
- A field is in the shape of a trapezium whose parallel sides are \( 25 \mathrm{~m} \) and \( 10 \mathrm{~m} \). The non-parallel sides are \( 14 \mathrm{~m} \) and \( 13 \mathrm{~m} \). Find the area of the field.
- A floor is \( 5 \mathrm{~m} \) long and \( 4 \mathrm{~m} \) wide. A square carpet of sides \( 3 \mathrm{~m} \) is laid on the floor. Find the area of the floor that is not carpeted.
Kickstart Your Career
Get certified by completing the course
Get Started