Volume of Prisms and Cylinders Explained

This video tutorial covers how to calculate the volume of prisms and cylinders. It begins with an introduction to the concept of volume, explaining it as the space inside a 3D figure. The video then provides step-by-step examples for finding the volume of a rectangular prism, a triangular prism, and a cylinder, using specific formulas for each shape. The tutorial concludes with a practice problem for viewers to solve on their own.

What is the primary goal when finding the volume of a three-dimensional figure?

• To measure its surface area

• To calculate the space it occupies

• To find its perimeter

• To determine its weight

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

• Volume = Base Area * Height

• Volume = Base Area - Height

• Volume = Base Area + Height

• Volume = Base Area / Height

Tags

CCSS.7.G.B.6

How do you find the area of the base in a rectangular prism?

• Length plus Width

• Length times Width

• Length times Height

• Width divided by Height

Tags

CCSS.7.G.B.6

What unit is used to measure volume?

• Cubic units

• Square units

• Linear units

• Kilograms

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

When calculating the volume of a prism, what does the height refer to?

• The diagonal of the base

• The width of the base

• The vertical distance from the base to the top

• The length of the base

Tags

CCSS.7.G.B.6

How do you find the area of a triangle?

• 1/2 times Base times Height

• Base times Height

• Base divided by Height

• Base plus Height

Tags

CCSS.6.G.A.1

What is the formula to find the area of a circle?

• Pi times Diameter squared

• Pi times Radius

• Pi times Radius squared

• 2 times Pi times Radius

Tags

CCSS.7.G.B.4

If the diameter of a circular base is 10 meters, what is the radius?

• 5 meters

• 10 meters

• 20 meters

• 15 meters

Tags

CCSS.7.G.B.4

What should you do if the calculated volume of a cylinder does not match your initial answer?

• Assume the height is incorrect

• Only use the PI key for calculations

• Adjust your calculation to match the correct answer

• Ignore the discrepancy

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Why is it important to bring your guided notes handout to class?

• All of the above

• To review the video content

• To share with classmates

• To have a reference during discussions

Tags

CCSS.RI.6.7

CCSS.RI.8.7

CCSS.RL.7.7

CCSS.RL.8.7

CCSS.RL.9-10.7