Volume and Surface Area Word Problems

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × r² × h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the surface area of a cylinder?

Back

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

Front

What does volume measure?

Back

Volume tells us how many given cubic units it takes to fill a given space.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

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

Back

Volume = length × width × height.

Tags

CCSS.7.G.B.6

Front

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

Back

Surface Area = 2(lw + lh + wh), where l is length, w is width, and h is height.

Tags

CCSS.7.G.B.6

Front

What is the formula for the volume of a triangular prism?

Back

Volume = (1/2 × base × height of triangle) × height of prism.

Tags

CCSS.7.G.B.6

Front

How do you calculate the surface area of a triangular prism?

Back

Surface Area = (base × height of triangle) + (perimeter of base × height of prism).

Tags

CCSS.7.G.B.6

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) × π × r² × h.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the surface area of a cone?

Back

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

Front

What is the difference between volume and surface area?

Back

Volume measures the space inside a 3D object, while surface area measures the total area of the object's surface.