Geometry 11.7 Composite Surface Area

Front

What is composite surface area?

Back

The total area of all the surfaces of a composite figure, which is made up of two or more simple geometric shapes.

Tags

CCSS.6.G.A.4

Front

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

Back

Find the area of all six faces and sum them up: 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

How do you find the surface area of a square pyramid?

Back

Surface Area = Base Area + 1/2 * Perimeter of Base * Slant Height.

Tags

CCSS.7.G.B.6

Front

What is the surface area of a sphere?

Back

Surface Area = 4πr², where r = radius.

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 r = radius and l = slant height.

Front

What is the first step in calculating the composite surface area of a figure?

Back

Identify and calculate the surface area of each individual shape that makes up the composite figure.

Tags

CCSS.3.MD.C.7D

Front

What is the importance of finding the surface area in real-life applications?

Back

Surface area calculations are essential in fields like construction, manufacturing, and packaging to determine material needs.

Tags

CCSS.6.G.A.4

Front

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

Back

Surface Area = (Base Area) + (Perimeter of Base * Height).

Tags

CCSS.7.G.B.6

Front

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

Back

Surface Area = 6a², where a = length of a side.

Tags

CCSS.6.G.A.4