Question

The dimensions of an oil tin are 26 cm $\times$ 26 cm $\times$ 45 cm. Find the area of the tin sheet required for making 20 such tins. If 1 square metre of the tin sheet costs Rs 10, find the cost of tin sheet used for these 20 tins.

Answer 1

Length of tin (l) = 26 cm = 0.26 m
Breadth (b) = 26 cm = 0.26 m
Hieght (h) = 45 cm = 0.45 m
$\therefore$ Surface area = $2(l\times b+b\times h+h\times l)$
= $2(0.26\times 0.26\times 0.45+0.45\times 0.26)m^2$
= $2(0.0676+0.117+0.117)m^2$
= $2\left(0.3016\right)=0.6032m^2$
Sheet required for such 20 tins
= 0.6032 $\times$ 20 = 12.064 $m^2$
Cost of 1 $m^2$ tin sheet = 10 m
$\therefore$ Total cost = Rs 12.064 $\times$ 10 = Rs. 120.64
and area of sheet = 12.064 $m^2=120640c{m}^2$