Question

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 the car (with the front face as a flap which can be rolled up). How much tarpaulin would be required to make the shelter if height is $2.5m$ and dimensions of the base are $4m\times 3m?$

• A. $37m^2$
• B. $47m^2$
• C. $30m^2$
• D. $54m^2$

Answer 1

The correct option is B

$47m^2$

Length of base (l) = 4 m

Breadth (b) = 3 m

Height (h) = 2.5 m

$\therefore \text{Area of tarpaulin used}$

$=\text{Area of four walls+Area of the roof}$

[Area of four walls = LSA of this cuboid-shaped shelter]

$=\left[2h\right(l+b\left)\right]+[l\times b]$

$=[2\times 2.5(4+3\left)\right]+[4\times 3]$

$=[5\times 7]+12$

$=35+12$

$=47m^2$