Unit9Workbook2016.doc

Assesses and reflects critically on own strengths

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Assesses and reflects critically on own strengths, needs, and interests. Identifies learning opportunities, choices, and strategies to meet personal needs and achieve goals. Perseveres and makes an effort when responding to challenges.

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MFM2P Date: ____________________ Unit 9: Volume and Surface Area Get Ready Investigating Perimeter and Area of Rectangles Using the formulas above, write the appropriate formulas for the perimeter and the area of the figures below. Square Parallelogram Triangle Circle 9 - 1 P = 2 l + 2 w A = l × w A = s 2 P = 2 a + 2 b P = a + b + c A = a × h P = 4 s C = 2π r A = π r 2 A = 2 h a
MFM2P Date: ____________________ Unit 9: Volume and Surface Area 9.1 Volume of Prisms and Pyramids A prism is a three-dimensional object with two parallel, congruent polygonal bases. A prism is named by the shape of the base. A pyramid is a three-dimensional object with one polygonal base and triangular faces that meet at a common vertex. A pyramid is named by the shape of the base. Volume is the amount of space occupied by an object. Volume is measured in cubic units. The Volume of ANY PRISM: V = area of base x height Example 1. Calculate the volume for the following prisms: a. b. Example 2. A candle is in the form of a square-based prism. How much wax is needed to make the candle? 9 - 2 Don’t forget CUBIC UNITS! 8 in. 8 in. 15 in.

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MFM2P Date: ____________________ Unit 9: Volume and Surface Area 9.1 Volume of Prisms and Pyramids PRACTICE 1. If one guppy requires 5 L of water to live happily, what is the maximum number of guppies that should be kept in this aquarium? 2. The excavation for a house and the trucks to carry away the material have the dimensions shown. About how many level truck loads are necessary to remove all the dirt? 3. What is the volume of the given square based pyramid? 9 - 3
MFM2P Date: ____________________ Unit 9: Volume and Surface Area 9.2 Surface Area of Prisms and Pyramids Surface area is the number of square units needed to cover the surface of a three-dimensional object. A net is a two-dimensional pattern that can be folded to make a three-dimensional object. Given the following net, Determine the shape based on the net given. Determine the area of each face. Ex. 1 Determine the amount of wrapping paper that is needed to wrap this box.
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• Winter '19
• Cone, Prism, Prisms and Pyramids

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