Math 8

Unit 4: Measuring Prisms and Cylinders

Unit 4: Measuring Prisms and Cylinders

What you’ll learn• Draw and construct nets of 3-D objects• Determine the surface areas of prisms and

cylinders• Develop formulas for the volumes of prisms

and cylinders• Solve problems involving prisms and cylinders

Unit 4: Measuring Prisms and Cylinders

Why its important:• Used to design different objects (soup can,

box, dog house, etc...)• Used to determine the amount of material

needed to make an object (surface area)• Used to determine the volume of an object.

4.1 EXPLORING NETSUnit 4: Measuring Prisms and Cylinders

4.1 Exploring Nets

• Focus: Identify, draw, and construct nets of objects

• Net – a diagram that can be folded to make an object.

• Origami folding box.

• Right prism – a 3-D shape that consists of two parallel regular polygons connected to form a 3-D shape.

Need nets• Cube• Rectangular prism• Triangular prism• Cylinder

4.2 CREATING OBJECTS FROM NETSUnit 4: Measuring Prisms and Cylinders

4.2 Creating Objects from Nets

• Focus: Build objects from nets

4.3 SURFACE AREA OF A RIGHT RECTANGULAR PRISM

Unit 4: Measuring Prisms and Cylinders

4.3 Surface Area of a Right Rectangular Prism

• Focus: Find the surface area of a right rectangular prism

4.4 SURFACE AREA OF A RIGHT TRIANGULAR PRISM

Unit 4: Measuring Prisms and Cylinders

4.4 Surface Area of a Right Triangular Prism

• Focus: Find the surface area of a right triangular prism

4.5 VOLUME OF A RIGHT RECTANGULAR PRISM

Unit 4: Measuring Prisms and Cylinders

4.5 Volume of a Right Rectangular Prism

• Focus: Develop and use a formula to calculate the volume of a right rectangular prism

4.6 VOLUME OF A RIGHT TRIANGULAR PRISM

Unit 4: Measuring Prisms and Cylinders

4.6 Volume of a Right Triangular Prism

• Focus: Develop and use a formula to find the volume a right triangular prism

4.7 SURFACE AREA OF A RIGHT CYLINDER

Unit 4: Measuring Prisms and Cylinders

4.7 Surface Area of a Right Cylinder

• Focus: Find the surface area of a right cylinder

4.8 VOLUME OF A RIGHT CYLINDERUnit 4: Measuring Prisms and Cylinders

4.8 Volume of a Right Cylinder

• Focus: Develop and use a formula to find the volume of a right cylinder