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9.5 Day 2 Pyramid Surface Area Learning Target: Apply formulas to find the surface area of 3D solids.
how many bases?
shape of other faces?
Prism Pyramid
Surface Area
Surface Area Pyramid= Base Area + lateral surface area
Base Area + Lateral SA
triangles
Find the surface area of the square pyramid. Show all work!
1. Draw and label base. 8
6Now...
Total SA = Base Area + lateral surface area
3. Find lateral areas2. Find base area.
triangles
(All the ∆s)
4. Find total surface area
Find the slant height of the pyramid.
Show all work!
.
Find the surface area.Show all work!
Name the solid ______________________
RC
Draw and label base.
Total SA = Base Area + lateral surface area
Find lateral areas.Find base area.
(All the ∆s)
Total SA = _________ + _________ = ___________
BA = ______ Lateral SA = _______
Find the surface area.Show all work!
Name the solid ______________________
RC
Draw and label base.
Total SA = ___________ + __________ = _________
BA = ______ Lateral SA = _______
Find the surface area.Show all work!
Name the solid ______________________
l = 25
12
Draw and label base.
Total SA = __________
Working backwards...
Given the surface area, SA = 1536 in2 ,
b) find the height of the square pyramid
24 in
l
h
Find the value of h , height of the pyramid.
Use SA formula for a pyramid to find value of l, slant height.
Find lateral SA (in terms of l).Find Base Area.
Total SA = Base Area + lateral SA(plug in values)
a) find the slant height of the square pyramid
Unit 9 Formulas
Area· Rectangle: A = ___________· Square: A = ___________
· Triangle: A = ___________
· Triangle: A = ___________
· Regular Polygon: ____________· Circle: A = ___________Surface Area· Prism: SA = _____________ · Pyramid: SA = _____________ · Sphere: SA = _____________
Volume· Prism: V = ______________ · Cylinder: V = ______________ · Pyramid: V = ______________ · Cone: V = ______________ · Sphere: V = ______________
Bring a calculator everyday!
B: area of baseP: perimeter of baseh: height of prism/pyramid
*length of lateral edge*distance between bases
l: slant height of pyramid
Geometry 9.5 Day 2 SA of Pyramids Wksht Answers
1. l = 202. SA = 199 cm2
3. SA = 964. SA = 904.85. SA = 330
6. l = 39 h = 36
7. SA = 7296
MUST SHOW WORK!!!
Assignment:Section 9.5 Day 2
WorksheetShow all work!
Surface Area Pyramid= Base Area + lateral surface area
triangles
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