1. Lesson 2

1.8. Explore 4

Mathematics 30-3 Module 5

Module 5: Geometry

 

You have explored the different properties of quadrilaterals and how to classify quadrilaterals based on the properties of the shape.

 

Quadrilaterals are extremely important in the construction of all building types. Without accurate measurements of lengths and angles, the structural integrity of a building can become extremely hazardous! Can you explain why?

 

This shows three photos of buildings, each featuring many shapes, including quadrilaterals.

first house: iStockphoto/Thinkstock; second house: iStockphoto/Thinkstock; third house: iStockphoto/Thinkstock

 

In the next Try This, you will explore how to solve problems that involve quadrilaterals.

 

Try This 3

 

This photograph is of a one-ton pickup truck.

Hemera/Thinkstock

Quaid has recently purchased a new one-ton pickup truck. He wants to install an extra fuel tank in the truck box so he won’t have to stop as frequently to refuel. He needs to get the tank custom-manufactured since he also wants the truck box to accommodate pulling a fifth-wheel trailer. The fuel tank needs to be in the shape of a prism with the specific dimensions shown.

 

 

This diagram shows a prism that represents a fuel tank to be constructed for the back of a pickup truck.

  1. What type of quadrilateral is figure ABCD (as shown in the diagram)? Explain your answer.
  2. Calculate the area of figure ABCD.
  3. Calculate the volume of the prism.
  4. How many litres of fuel can the tank hold?
course folder Save your responses in your course folder.
1000 cm3 = 1 L
The formula that can be used to calculate the volume is V = Abase × h.
The formula that can be used to calculate the area is .