Calculating Volume of Complex Shapes

Calculating Volume of Complex Shapes

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial by Mr. A introduces the concept of composite volume, focusing on how to apply basic volume calculation skills to more complex shapes like L-shaped prisms. It explains the importance of understanding rectangular prisms and their right angles, and demonstrates how to split complex shapes into simpler parts to calculate their volume. The tutorial includes practice problems to reinforce the learning, emphasizing the need to add volumes of split shapes to find the total composite volume.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the video tutorial?

Understanding the basics of addition

Exploring the history of mathematics

Learning about composite volume

Studying the properties of circles

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why are right angles important in rectangular prisms?

They make the shape more colorful

They help in calculating the perimeter

They ensure the shape is a rectangle

They are used to measure temperature

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What formula is used to calculate the volume of a rectangular prism?

Width x Height

Length x Width x Height

Length x Width

Length + Width + Height

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can complex shapes be simplified for volume calculation?

By painting them

By splitting them into simpler shapes

By rotating them

By ignoring some dimensions

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example of the L-shaped garden bed, what is the first step in calculating its volume?

Drawing a dotted line to split the shape

Ignoring the shape

Calculating the perimeter

Measuring the temperature

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the total volume of the L-shaped garden bed when split into two parts?

180 units cubed

192 units cubed

150 units cubed

200 units cubed

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the practice problem, what is the depth of the entire L-shaped pool?

8 meters

12 meters

6 meters

4 meters

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