Volume and Surface Area of Prisms/Cylinders & Pyramids/Cones

Front

What is the formula for the volume of a prism?

Back

Volume = Base Area × Height

Tags

CCSS.7.G.B.6

Front

What is the formula for the surface area of a cylinder?

Back

Surface Area = 2πr(h + r) where r is the radius and h is the height.

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the surface area of a pyramid?

Back

Surface Area = Base Area + (1/2) × Perimeter × Slant Height.

Tags

CCSS.7.G.B.6

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 surface area of a cone?

Back

Surface Area = πr(r + l) where r is the radius and l is the slant height.

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) × πr²h where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the difference between surface area and volume?

Back

Surface area measures the total area of the surface of a 3D object, while volume measures the space inside the object.

Front

How do you find the base area of a rectangular prism?

Back

Base Area = Length × Width.

Tags

CCSS.7.G.B.6

Front

What is the relationship between the height and volume of a prism?

Back

Increasing the height of a prism increases its volume proportionally.

Tags

CCSS.7.G.B.6