Math Test Review: 3D Geometry & Volume

 You need to know how to identify 3D Shapes  You need to know the characteristics of 3D Shapes  You need to know how to sort and classify 3D shapes.  You need to know how to identify and draw nets.  You need to know how to calculate volume. What you need to know …

3D Prism and Pyramids These shapes need to be familiar to you

Identify the following 3D shapes: Sample Question

We only learn about “right” prisms in Grade 5. A right prism is one where the bases are exactly one above. See how the base of the prism A is perfectly above the top? This is a right prism. The lines that come up from the base are perfect 90 degree angles. Prism B is leaning over. The base and top are not right above each other. Prism B is not a right prism. Right Prism vs. Prism AB

Sample Questions a) Right or Not? b) Draw an example of a right prism and explain why it is a right prism. c) Why is a pyramid not a right prism?

Characteristics of 3D Shapes Face Edge Vertices Base

Sort the following 3D shapes by their characteristics Sample Question Right Prism Shapes with 6 or more vertices

You need to be able to look at a 3D net and figure out.. 1.Will it work? Why or why not 2.What 3d Shape will it create? Identifying and Creating 3D Nets

Boomer is trying to make a net for a 3D shape.  What 3d shape is he trying to create? How do you know?  Will they all work? Explain your thinking. Sample Question

Create two functional nets for the following 3D shape Sample Question

 We know that volume is that amount of space something takes up.  We proved this with our labbit a graduated cylinder experiment. The water level rises as the labbit sinks because the labbit has volume. We can calculate the volume of the labbit based on how much the water goes up. Understanding Volume If the water goes from 100 to 150 mL than the volume of the labbit is 50cm 3, because 50mL = 50cm 3 OR 1 mL = 1 cm 3

5 objects were placed in graduated cylinders to measure their volume. Some of the data is missing. Complete the table. Sample Question: ObjectStarting Measurement Ending Measurement DifferenceVolume 100 mL150 mL50 mL50 cm mL310 mL_______ 500 mL750 mL_______ 1750 mL750 mL_______ 800 mL_______378 mL_______

 We know volume is measured in cm 3 = centimeters cubed  Remember: Volume is a 3 dimensional measurement (that’s why we say 3D). It has a length, width, and height. What about those cm 3 ?

 We have been calculating the volume of shape for the past 3 years. We can figure out the volume of a cube or rectangular prism easily. What is the grade 3 way of figuring out the volume of this cube? Calculating Volume of Cubes and Rectangular Prisms

 You likely just counted the cubes on the previous slide like you did in grade 3 and figured out that there were 64 cubes. That’s all great, but we learned this year that there is a more efficient way of figuring out the volume of rectangular prisms and cubes.  We know the volume = length x width x height in rectangular prisms and cubes:  This rectangle has a length of 5 cm, height of 2 cm, and a width of 2 cm. Lets do the math …  Volume = Length x Width x Height  = 5 x 2 x 2  = 10 x 2  = 20 cm 3 Volume in Grade 5

Volume = Length x Width x Height Works with all cubes and rectangular prisms only Remember: Will this work with all 3D Shapes?

 Calculate the volume of each shape Sample Questions In cm

Complete the table. Calculator is ok. Sample Question LengthWidthHeightVolume 4 cm2 cm5 cm40cm 3 5 m3 m2 m_________ 10 mm1 mm3 mm_________ 20 cm3 cm10 cm_________ 40 m15 m25 m_________ 30 mm20 mm25 mm_________

 The Toronto Maple Leafs are putting all their golfing gear in a storage bin so they can take it down to Florida. They figure they need a bin that has a volume of 80m 3.  What are two possible rectangular prisms that would have that exact volume? Explain how you know. Last one …