Question

Question 8
Parveen wanted to make a temporary shelter for her car, by making a box-like structure with a 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 many tarpaulins would be required to make the shelter of height 2.5m, with base dimensions $4m\times 3m$?

Answer 1

Length (l) of shelter = 4 m
Breadth (b) of shelter = 3 m
Height (h) of shelter = 2.5 m
Tarpaulin will be required for the top and four wall sides of the shelter.
Area of tarpaulin required = 2(lh + bh) + lb
$=\left[2\right(4\times 2.5+3\times 2.5)+4\times 3]m^2$
$=\left[2\right(10+7.5)+12]m^2$
$=47m^2$
Therefore, $47m^2$ tarpaulin will be required to make the shelter.