Volume of Prisms and Cylinders Explained

The video tutorial explains how to measure the volume of 3D figures, focusing on prisms and cylinders. It covers the concept of volume as the space occupied by a 3D object and discusses the units used for measuring volume. The tutorial provides step-by-step instructions for calculating the volume of various prisms, including triangular, trapezoidal, oblique, and hexagonal prisms, as well as cylinders. It emphasizes the importance of understanding base area and height in these calculations and demonstrates how to work backwards from given volumes to find missing dimensions.

What is the term used to describe the capacity of a 3D figure?

• Perimeter

• Volume

• Length

• Area

What units are used to measure the volume of a 3D object?

• Square units

• Cubic units

• Circular units

• Linear units

How do you calculate the volume of a prism?

• Base area + Height

• Base perimeter x Height

• Base area x Height

• Base area / Height

What shape is the base of the prism used in the first example?

• Hexagon

• Square

• Circle

• Triangle

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

• Height x (Base1 + Base2) / 2

• (Base1 + Base2) x Height / 2

• Base1 x Base2 x Height

• (Base1 + Base2) / Height

What is the base area of the hexagonal prism given in the example?

• 23.7 square cm

• 120 square cm

• 3744 square cm

• 17.3 square cm

How do you calculate the volume of a cylinder?

• Radius x Height

• Pi x Diameter x Height

• Pi x Radius x Height

• Pi x Radius squared x Height

What is the radius of the cylinder in the final example?

• 2 radical 5 cm

• 4.5 cm

• 12 cm

• 24 cm

What is the height of the cylinder when the volume is given as 100 Pi cubic cm?

• 100 cm

• 10 cm

• 5 cm

• 20 cm

What method is used to solve for the radius in the last cylinder example?

• Addition

• Subtraction

• Multiplication

• Division