Measuring Surface Area
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SHAPES are 2-Dimensional and are considered to be flat.
OBJECTS are 3-Dimensional and have many sides. A NET in a 2-D shape that can be folded to make a 3-D object called a POLYHEDRON This year we will investigate the surface area of prisms and pyramids.
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To find the area of a rectangular prism, we must consider all the faces. There are 3 sets of 2 congruent faces (red, yellow and blue).
With this knowledge, we only have to measure 3 faces: the front, top and side, and simply multiply this number by 2.
With this knowledge, we only have to measure 3 faces: the front, top and side, and simply multiply this number by 2.
SA = 2 (Area + Area + Area)
Task:
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Determining Surface Area of Regular Prisms
You and your partner will be responsible for exploring different nets to determine the surface area of a rectangular prism:
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Triangular Prism
The triangular prism is named for the 2 congruent TRIANGULAR bases.
If we join 2 congruent triangles together, we end up with a quadrilateral. You know the area of quadrilaterals to be measure by base x height. As such, we can measure the area of BOTH triangles by multiplying the base and height of just one! Once we know this, we simply measure the area of each rectangle in the polyhedron and add the numbers together. SA = bhtriangle + bh1 + bh2 + bh3 |
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Investigating the Volume of Prisms
CHALLENGE
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5. How long will it take to empty they tank?
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Unit Project
After countless complaints of leaky butter bags, Cineplex Odeon Theatres is changing from paper popcorn bags to thin cardboard containers. The company wants to save as much money as possible on their new popcorn containers. In order to do this, the company wants to have a high volume of popcorn in each container, but a low surface area to avoid wasting money on the cardboard packaging.
Your Task: You and your partner must design a popcorn container that will hold 8750cm3. The container may be either cylindrical or prism-shaped in design.
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