9.5 Day 2 SA of Pyramids

Name the solid. Find the surface area.warm-up:

9.5 Day 2 Pyramid Surface Area Learning Target: Apply formulas to find the surface area of 3D solids.

9.5 Day 2 SA of Pyramids

how many bases?

shape of other faces?

Prism Pyramid

Surface Area

Surface Area Pyramid

= Base Area + lateral surface area

Base Area + Lateral SA

triangles

9.5 Day 2 SA of Pyramids

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!

.

9.5 Day 2 SA of Pyramids

Partner A: Solves aloud.Partner B: Watches, listens, coaches/praises & initials.

Switch papers and switch roles.

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 = _______

9.5 Day 2 SA of Pyramids

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 = __________

9.5 Day 2 SA of PyramidsWorking 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

9.5 Day 2 SA of Pyramids

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

Assignment:Section 9.5 Day 2

WorksheetShow all work!

Surface Area Pyramid= Base Area + lateral surface area

triangles