Total and Lateral Surface Area of 3D Shapes

Front

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

Back

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

Front

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

Back

Lateral Surface Area = 2πrh, where r is the radius and h is the height.

Front

What is the formula for the total surface area of a sphere?

Back

Total Surface Area = 4πr², where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Lateral Surface Area = πrl, where r is the radius and l is the slant height.

Front

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

Back

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

Front

What is the formula for the total surface area of a rectangular prism?

Back

Total 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 lateral surface area of a rectangular prism?

Back

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

Tags

CCSS.7.G.B.6

Front

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

Back

Total surface area includes all surfaces, while lateral surface area includes only the sides, excluding the top and bottom.

Front

How do you calculate the surface area of a hemisphere?

Back

Surface Area = 3πr², where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the significance of leaving answers in terms of pi?

Back

Leaving answers in terms of pi provides an exact value rather than an approximation.

Tags

CCSS.HSG.C.B.5