Volume of Pyramids and Cones

Front

What is the formula for the volume of a pyramid?

Back

Volume = (1/3) × Base Area × Height

Tags

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) × π × Radius² × Height

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

In the volume formula for a pyramid, what does 'Base Area' refer to?

Back

Base Area is the area of the shape that forms the base of the pyramid.

Tags

CCSS.HSG.GMD.A.3

Front

What does 'h' represent in the volume formulas for pyramids and cones?

Back

The height of the prism or cone, measured from the base to the apex.

Tags

CCSS.HSG.GMD.A.3

Front

Calculate the volume of a pyramid with a base area of 36 yd² and a height of 6 yd.

Back

Volume = (1/3) × 36 × 6 = 72 yd³

Tags

CCSS.HSG.GMD.A.3

Front

If a cone has a radius of 3 cm and a height of 5 cm, what is its volume?

Back

Volume = (1/3) × π × 3² × 5 ≈ 47.12 cm³ (using π ≈ 3.14)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between the volume of a pyramid and a prism with the same base area and height?

Back

The volume of the pyramid is one-third the volume of the prism.

Tags

CCSS.HSG.GMD.A.3

Front

How do you round a volume to the nearest whole number?

Back

Look at the first decimal place: if it's 5 or more, round up; if it's less than 5, round down.

Tags

CCSS.5.NBT.A.2

Front

What is the volume of a cone with a diameter of 10 cm and a height of 4 cm?

Back

Volume = (1/3) × π × (5)² × 4 ≈ 83.33 cm³ (using π ≈ 3.14)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a square pyramid with a base side of 4 m and a height of 3 m?

Back

Volume = (1/3) × (4 × 4) × 3 = 16 m³

Tags

CCSS.HSG.GMD.A.3