Rectangular Pyramid

Volumes of Pyramids and Cones

Volume of a Pyramid

The volume of a pyramid is a fraction of the volume of a prism that has the same base and height as the pyramid.

Open Ended

How many rectangular pyramids do you think it will take to fill up a rectangular prism?

Volume of a Pyramid

The volume of a pyramid is a fraction of the volume of a prism that has the same base and height as the pyramid.

Volume of a Pyramid

Finding the Volume of a Pyramid

Find the volume of a square pyramid with base edges 40 ft and slant height 25 ft.

Multiple Choice

Find the volume of a square pyramid with base edges 24 m and slant height 13 m. Round to the nearest whole number.

• 312 m³

• 624 m³

• 1023 m³

• 960 m³

Volume of a Cone

The volume of a cone is a fraction of the volume of a cylinder that has the same base and height as the cone.

Open Ended

How many cones do you think it will take to fill up a cylinder?

Volume of a Cone

The volume of a cone is a fraction of the volume of a cylinder that has the same base and height as the cone.

Finding the Volume of a Cone

Finding the Volume of a Cone

Find the volume of the cone.

Multiple Choice

Find the volume of a cone that is 6 ft tall and 7 ft in diameter. Round to the nearest whole number.

• 308 ft³

• 84 ft²

• 42 ft³

• 77 ft³

Multiple Choice

Exit Ticket: What is the formula for the volume of a pyramid?

• V = Bh

• V = Bl

• V = LA + 2B

• $$V\ =\ \frac{1}{3}Bh$$

Multiple Choice

Exit Ticket: What is the formula for the volume of a cone?

• V = Bh

• $$V\ =\ \frac{1}{3}\pi r^2\cdot h$$

• V = LA + 2B

• $$V\ =\ \frac{1}{3}Bh$$