Calculating Volume of Prisms

In Lesson 12, Mr. Hul explains how to calculate the volume of rectangular prisms using numerical expressions and alternative formulas. The lesson covers writing expressions for volume, identifying common elements in these expressions, and using base area to calculate volume. Examples demonstrate different methods for volume calculation, including determining height when given volume and base area. The lesson concludes with an extension on using learned concepts to solve real-world problems.

What is the numerical expression for the volume of a rectangular prism with dimensions 15 in, 1.5 in, and 3 in?

• 15 in + 1.5 in x 3 in

• 15 in + 1.5 in + 3 in

• 15 in x 1.5 in x 3 in

• 15 in x 1.5 in + 3 in

What do all the expressions for the prisms have in common?

• Same base area

• Same volume

• Same height

• Same length and width

How can the volume of a rectangular prism be calculated using its base area?

• Base area times height

• Base area plus height

• Base area minus height

• Base area divided by height

If the height of a prism doubles, what happens to its volume?

• Volume triples

• Volume remains the same

• Volume halves

• Volume doubles

Given a base area of 3.25 in² and a height of 2.5 in, what is the volume of the prism?

• 8.5 in³

• 7.5 in³

• 6.5 in³

• 8.125 in³

What is the first step in determining the height of a prism if the volume and base area are known?

• Add volume and base area

• Divide volume by base area

• Subtract base area from volume

• Multiply volume by base area

What mathematical operation is used to solve for height when given volume and base area?

• Addition

• Multiplication

• Division

• Subtraction

What is the reciprocal of 5/2 when solving for height?

• 2/1

• 2/5

• 5/2

• 1/5

If a prism has a volume of 6 ft³ and a base area of 2.5 ft², what is its height?

• 2.4 ft

• 2.5 ft

• 2.8 ft

• 2.6 ft

What is the final step in calculating the height of a prism using its volume and base area?

• Subtract the base area from the volume

• Add the base area to the volume

• Divide the base area by the volume

• Multiply by the reciprocal of the base area