Question

In: Math

search the web for a building somewhere in the world that you think shows the power...

search the web for a building somewhere in the world that you think shows the power of mathematics and present a small summary

Solutions

Expert Solution

t’s all about maths and geometry. If you want to use your mathematical skills, then become a builder. You will use all of your maths skills all day, every day.

Remember the Pythagorean theorem?
A squared plus B squared equals C squared?
Now imagine the slope of a roof, and you're trying to determine the length of your rafter. You know the rise (A) and the run (B), so now calculate t
he length (C). Stairs are much the same. And this just gets you started. A really good framer will also know trigonometry.

Construction workers must use math in a variety of ways while practicing their trade, including taking measurements, converting quantities and solving equations. While it is not necessary for construction workers to have an advanced education, they must be comfortable with basic mathematics and capable of performing several simple operations. Construction workers must be able to add, subtract, divide and multiply as well as work with fractions.

some best examples of buildings that shows the power of mathematics are...

1. The Dancing House, Prague

2.

3. Space Needle, Seattle

4.Burj Khalifa, Dubai

5. Lloyd's Building, London

Taking accurate measurements is a mathematical skill, and it is crucial that construction workers are able to do so. Additionally, construction workers must be able to convert between various units of measure, which requires the use of equations. For example, if a construction worker must convert millimeters to inches, he must divide the number of millimeters by 25.4 to obtain its equivalent number of inches.

Construction workers must also use ratios frequently. For example, when figuring out the proportions of the roof’s length to its height, a construction worker must be able to divide the length by the height to obtain the correct ratio.

Some construction workers must also understand the principles of geometry. For example, it is often important to know the length of a triangle's hypotenuse in cases where it is difficult to measure. But by using the Pythagorean theorem, the construction worker can deduce the length of the hypotenuse by measuring the other sides of the triangle.

Take, for instance, the bricklayer who needs to calculate the number of bricks for a simple cottage with a gabled roof on a sloping block of land.

He starts by measuring the base brickwork: for each wall he needs to calculate the length of wall, the left hand height and the right hand height from ground level to floor level (actually DPC level, 2 brick courses below floor level). The shape of each length of wall is a trapezium - the formula for a trapezium (2 parallel sides, 2 sloping sides) is (Average Side 1 and Side 2) x offset distance. i.e. ((height at left corner + height at right corner) / 2) x length of wall. He does this for every wall until he has been right round the base of the house. He then converts the area of base brickwork into the number of bricks he needs.


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