Volume and Area of Prisms

Mrs. Zapia's lesson 23 covers the volume of right prisms, focusing on using the formula for volume calculation. The lesson includes examples of calculating the volume of water in a rectangular prism, finding the volume of a right triangular prism, and determining the height and depth of fuel in a tank. Key concepts include understanding the volume formula, computing volumes with fractional values, and solving for missing dimensions.

What is the formula for the volume of a right rectangular prism?

• 2 × (Length + Width + Height)

• Length × Width ÷ Height

• Length + Width + Height

• Length × Width × Height

In Example 1, what is the thickness of the container walls in centimeters?

• 0.3 cm

• 3 mm

• 3 cm

• 0.03 cm

How do you calculate the volume of water in the container in Example 1?

• By using the total height of the container

• By ignoring the wall thickness

• By subtracting the unfilled height and wall thickness from the total height

• By adding the unfilled height to the total height

What shape is the base of the prism in Example 2?

• Circle

• Rectangle

• Square

• Triangle

In Example 2, what is the formula for the area of the triangular base?

• 1/2 × Base × Height

• Base × Height

• Base + Height

• Base ÷ Height

In Example 3, how many liters of fuel are in the tank?

• 20 liters

• 25 liters

• 30 liters

• 27 liters

What is the relationship between the height of the fuel and the total height of the tank in Example 3?

• The fuel height is half of the total height

• The fuel height is 1/4 of the total height

• The fuel height is equal to the total height

• The fuel height is 3/4 of the total height

What is the final calculated height of the tank in Example 3?

• 6 cm

• 8 cm

• 10 cm

• 12 cm

What does the capital 'B' represent in the volume formula?

• The height of the prism

• The area of the base

• The width of the base

• The length of the prism

What should you be cautious about when working with triangular prisms?

• The weight of the prism

• The two different heights

• The number of sides

• The color of the prism