Question

A water trough in the shape of a prism has trapezoidal base. The dimension of the base are a=50, b=75 and height=10 cms. The length of the curve is 80 cm. It is to be painted inside and outside. How much would be the cost of Rs. 100 per square metre?

Answer 1

Answer:

The total cost would be $500\cdot 100=Rs.50000$

Step-by-step explanation:      

We have been given a=50 ,b=75 and height is 10 cm

So, the base area will be:$\frac{1}{2}(\text{sum of bases})\cdot height$

$\text{base area}=\frac{1}{2}1250$

$\Rightarrow \text{base area}=625$

Now, the total area of prism will be the length of curve x base area.

$\Rightarrow 625\cdot 80$

$\Rightarrow 50,000$

The cost of Rs 100 per square metre

So, the Area of prism is 50,000 square cm.

To convert  it in metres.

$1cm=\frac{1}{100}m$

$50000cm=500m$

the total cost would be $500\cdot 100=50000$