Surface Area and Volume

Front

What is Surface Area?

Back

The total area that the surface of a three-dimensional object occupies.

Front

What is Volume?

Back

The amount of space that a substance or object occupies, measured in cubic units.

Front

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

Back

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

Front

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

Back

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

Front

What is the difference between lateral surface area and total surface area?

Back

Lateral surface area includes only the sides of the object, while total surface area includes the bases as well.

Tags

CCSS.7.G.B.6

Front

How do you find the volume of a rectangular prism?

Back

Volume = l × w × h, where l = length, w = width, h = height.

Tags

CCSS.7.G.B.6

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r = radius and h = height.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3)πr²h, where r = radius and h = height.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

How do you calculate the volume of a sphere?

Back

Volume = (4/3)πr³, where r = radius.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9