Q28. - Geometry

Question

Find the weight to the nearest 10 kg, of the steel 1- beam shown below. Steel weighs 7860 kg/m³?

Step-by-Step Solution

Answer

The weight of steel beam is$314400\frac{\text{kg}}{m^3}$ .

Step 1. Given information.

A figure provided in the question,

Step 2. Determine the weight.

Firstly, find the volume of steel beam,

$\begin{array}{c}v=\text{A}\left(h\right)\\ =\frac{({30}^2-2(12.5\times 20))}{100}\left(10\right)\text{ [substitute and simplify]}\\ =4\times 10\text{ [simplify]}\\ =40{\text{m}}^3\end{array}$

 

Then, the weight of the steel is,

$\begin{array}{c}w=40\left(7860\right)\\ =314400\frac{\text{kg}}{m^3}\text{ [multiply]}\end{array}$