Exploring Unit 7 Lesson 12: Adding and Subtracting Rational Expressions

The video tutorial covers the concept of volume in right prisms, demonstrating how to calculate volume using base area and height. It includes interactive activities with snap cubes to visualize volume and explores different shapes to identify prisms. The lesson concludes with a summary and homework instructions.

What is the volume of a prism with a base area of 4 units and height of 3 units?

• 15 units

• 9 units

• 12 units

• 7 units

If a prism's volume is set to 12 units and the base area is 3 units, what is the height?

• 9 units

• 4 units

• 15 units

• 5 units

If three prisms have the same volume, which prism would require the highest height?

• Cannot be determined

• Prism with the largest base area

• Prism with the smallest base area

• All prisms have the same height

Using snap cubes, how can you model a volume of 27 cubic units?

• 18 cubes in a 1.5x1.5 layer

• 3 cubes in a 9x9 layer

• 9 cubes in a 3x3 layer

• 27 cubes in a single layer

In a digital application, how is the volume affected when the height is doubled?

• Volume remains the same

• Volume is halved

• Volume doubles

• Volume quadruples

Which of the following is not a prism?

• A shape with triangular bases

• A pyramid with a hexagonal base

• A cube

• A cylinder

What is the correct formula for calculating the volume of a prism?

• Volume = Base Area * Height

• Volume = Base Area / Height

• Volume = Base Area - Height

• Volume = Base Area + Height

What is the volume of a prism with a base area of 10 units and height of 6 units?

• 60 cubic units

• 15 cubic units

• 16 cubic units

• 100 cubic units

Which shape would have the smallest volume if all have the same height?

• Shape with base area of 5 units

• Shape with base area of 10 units

• Shape with base area of 15 units

• Shape with base area of 20 units

How many faces are painted on a cube if only the external surfaces are painted?

• 6

• 4

• 8

• 12