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# Surface Area Of Solids

## by joannahstevens on Mar 26, 2010

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## Surface Area Of SolidsPresentation Transcript

• Surface Area of Solids
March 22, 2010
• Three-Dimensional Figures
Prism – a 3D solid with two parallel, congruent faces called bases
Pyramid – a 3D solid with one base that is any polygon; the other faces are triangles
Cylinder – a 3D solid that has two parallel, congruent circular bases connected with a curved side
• Surface Area
Surface area refers to the sum of the areas of all the surfaces of a 3D figure.
Also called Total Surface Area (TSA)
Examples:
wrapping paper
orange
• Lateral Surface Area
Lateral surface area of a solid only includes the faces or surfaces that make up the sides of the solid (not the base(s))
Examples:
Soup can label
• With a partner, you will determine the surface area of various geometric solids.
How Do You Find the Surface Area of a Solid?
• 4*s2 where s = length of side
6*s2
4*s*h, where s=length of side of base, h = height
(2*s2)+(4*s*h)
3*s*h, where s=length of side of base, h = height of prism
(3*s*h)+(s*a) where a=altitude of triangle
3/2*s*l, where s=length of side of base, l=slant height
(1/2*s*a)+(3/2*s*l) where a =altitude of triangle at base
2*s*l, where s=length of side of base, l=slant height
s2 + (2*s*l)
2*π*r*h, where r = radius, h = height
(2*π*r2)+(2*π*r*h)
• Practice
Both containers hold about the same amount of pineapple juice. Does the box or the can have a greater surface area?
5 cm
9 cm
9 cm
6 cm
5 cm
• Practice
Surface Area of can
9 cm
6 cm
• Practice
Surface Area of box
5 cm
9 cm
5 cm
• Practice
Since 230cm2 > 288.2cm2, the box has a greater surface area.
• Practice – Architecture
The Louvre museum in Paris has a huge square glass pyramid at the entrance with a slant height of about 92 feet. Its square base is 116 feet on each side. How much glass did it take to cover the pyramid?
• Practice
Find the lateral area only since the bottom of the pyramid is not covered in glass.
92 feet
116 feet