Question

fig.18.21 shows the end face of a triangular girder which is 5 m long. find the volume of metal used in casting it​

Answer 1

Answer:

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Answer 2

Given,

A triangular girder with a base length of 60m and a height of 90m and length is 5m.

To find,

The volume of the triangular girder.

Solution,

We can begin by finding the volume of a small part of the triangular gradient is dx in length to solve this problem.

The triangle is right-angled, the area will be:

                                              = $\frac{1}{2}*h*b$

                                              = $\frac{1}{2}*60*90$

                                              = $2700m^{2}$

The formula for the volume = area of the triangle*dx.

The volume of that component = $2700m^{2}*dx$

Integrating the total volume over the 5m will give us the volume of this triangular girder.

Total Volume = $\int\limits^5_0 { 2700m^{2}} \, dx$

                       = $2700*5m^{3}$

                       = $13500m^{3}$

Therefore, the volume of the girder is $13500m^{3}$.