Volume and Area of Rectangular Prisms

Mr. Buffington from Simplify Academy presents a lesson on calculating the volume of rectangular prisms using the formula volume = base area x height. The lesson covers the concept of fact families, demonstrating how to rearrange the formula to find missing dimensions. A pyramid method is introduced as a visual aid for remembering the formulas. The video includes practice problems for calculating volume, base area, and height, emphasizing the importance of understanding the relationships between these dimensions. The lesson concludes with encouragement to practice further using provided worksheets.

What is the basic formula for calculating the volume of a rectangular prism?

• Volume = base area x height

• Volume = length x width

• Volume = base area / height

• Volume = length + width + height

In a fact family, if 20 = 4 x 5, what is 4 equal to?

• 5 x 20

• 20 / 5

• 20 x 5

• 5 / 20

How can you calculate the height of a rectangular prism using the pyramid method?

• Base area x volume

• Base area / volume

• Volume / base area

• Volume x base area

If a rectangular prism has a base area of 14 square centimeters and a height of 3 centimeters, what is its volume?

• 42 cubic centimeters

• 17 cubic centimeters

• 11 cubic centimeters

• 28 cubic centimeters

What is the area of the base of a rectangular prism with a volume of 54 cubic inches and a height of 9 inches?

• 6 square inches

• 9 square inches

• 54 square inches

• 63 square inches

Calculate the height of a rectangular prism with a volume of 21 cubic meters and a base area of 3 square meters.

• 21 meters

• 3 meters

• 9 meters

• 7 meters

What is the height of a rectangular prism with a volume of 81 cubic inches and a base area of 3 square inches?

• 27 inches

• 81 inches

• 9 inches

• 3 inches

If the volume of a rectangular prism is 42 cubic inches and the height is 6 inches, what is the area of the base?

• 36 square inches

• 42 square inches

• 7 square inches

• 6 square inches

Calculate the volume of a rectangular prism with a base area of 11 square centimeters and a height of 12 centimeters.

• 132 cubic centimeters

• 23 cubic centimeters

• 144 cubic centimeters

• 121 cubic centimeters

What is a helpful tool for remembering the formulas for volume, base area, and height?

• A pyramid

• A circle

• A triangle

• A square