Question

An open box of length 1.5 m,breadth 1 m,and height 1 m is to be made for use on trolley for carrying garden waste. how much sheet of metal will be required to make this box? The inside and outside surface of the box is to be painted with rust proof paint. at a rate of 150 rupees per square m,how much will it cost to paint the box?

Answer 1

Surface Area =2(l*b+b*h+h*l)
Surface Area =2(1.5*1+1*1+1*1.5)
Surface Area =2(1.5+1+1.5)
Surface Area =2*4=8m2 answer
cost of paint the box =8*150=1200rupees

Answer 2

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":

$Area=2(bh+lh)+lb\\\\Area=2(1\times 1+1.5\times 1)+1.5\times 1\\\\Area=2(1+1.5)+1.5\\\\Area=2\times 2.5+1.5\\\\Area=5+1.5\\\\Area=6.5\ m^2$

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

$2\times 6.5 \\\\=13\ m^2$

Total cost to paint the box is given by

$13\times 150\\\\=Rs. 1950$

Hence, total cost  is Rs. 1950.