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

A B

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 not2. 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 50cm3, because

50mL = 50cm3

OR 1 mL = 1 cm3

5 objects were placed in graduated cylinders to measure their volume. Some of the data is missing. Complete the table.

Sample Question:

Object Starting Measurement

Ending Measurement

Difference Volume

100 mL 150 mL 50 mL 50 cm3

200 mL 310 mL _______ _______

500 mL 750 mL _______ _______

_______ 1750 mL

750 mL _______

800 mL _______ 378 mL _______

We know volume is measured in cm3 = 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 cm3?

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 cm3

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

Length Width Height Volume

4 cm 2 cm 5 cm 40cm3

5 m 3 m 2 m _________

10 mm 1 mm 3 mm _________

20 cm 3 cm 10 cm _________

40 m 15 m 25 m _________

30 mm 20 mm 25 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 80m3.

What are two possible rectangular prisms that would have that exact volume? Explain how you know.

Last one …