Question

How much sheet metal is required to make a closed rectangular box of length 2m, breadth 1m and height 1.3 m. Find the cost of painting the outer surface of the box at the rate of ₹40 per sqm.

Answer 1

Answer:

Total cost is Rs. 1950.

Step-by-step explanation:

Since we have given that

Length of open box = 1.5 m

Breadth of open box = 1 m

Height of open box = 1 m

We need sheet of metal that will be required to make this box:

As we know the formula for "Surface area of cuboid":

Area=2(bh+lh)+lb

Area=2(1×1+1.5×1)+1.5×1

Area=2(1+1.5)+1.5

Area=2×2.5+1.5

Area=5+1.5

Area=6.5 m

2

Now, According to question, the inside and outside surface of the box is to be painted with rust proof at a rate of Rs. 150 per sq. m

So, Outer and inner surface area of the box is given by

2×6.5

=13 m

2

Total cost to paint the box is given by

13×150

=Rs.1950

Hence, total cost is Rs. 1950.