Question

An oil tin in the shape of a cuboid has dimensions, 26 cm $\times$ 26 cm $\times$ 45 cm . If 1 sq. m sheet costs ₹10 , then the total cost for making 20 such tins is ____.

• A. ₹120.64
• B. ₹125.60
• C. ₹128.60
• D. ₹129.60

Answer 1

The correct option is A ₹120.64

Given the dimensions of the cuboidal oil tin,
length(l) = 26 cm, breadth(b) = 26 cm and height(h) = 45 cm

Total surface area of oil tin = 2 (lb + bh + hl)
$=2(26\times 26+26\times 45+45\times 26)=6032{\text{cm}}^2$

Total area of the tin sheet required = Area of 20 oil tins
$=20\times 6032$
$=120640{\text{cm}}^2$
$=12.064m^2$ $(\because 1m^2=10000{\text{cm}}^2)$

Cost of 1 $m^2$ tin sheet = ₹10
Hence, the cost of 12.064 $m^2$ tin sheet
= ₹10 $\times$ 12.064
= ₹120.64

So, total cost for making 20 such tins = ₹120.64