Download presentation

Presentation is loading. Please wait.

Published byChristian Newton Modified over 3 years ago

1
**Surface area and Volume Good luck. No work=No credit.**

Name: Period: Chapter 12 Test: Instructions: Leave all answers in terms of π and reduce all fractions. Surface area and Volume Good luck. No work=No credit.

2
**Part 1: Matching 1.)prism A.) Type of solid. 2.)bases**

3.)altitude 4.)lateral faces 5.)lateral edges 6.)right prism 7.)oblique prism A.) Type of solid. B.) Congruent polygons & //. C.) Faces, not including bases D.) Where adjacent lateral faces intersect in // segments. E.) Lateral faces not rectangles F.) Lateral faces are rectangles. G.) Segment _I_ to and joining two base planes.

3
**Sample problem for 1 and 2: Find the volume and total area of a cube with edge 2k.**

Volume=Bh =(2k2k)(2k) =8k3 units3 Total Area=LA+2B =ph+2B =8k(2k)+2(2k)(2k) =16k2+8k2 =24k2 units2 2k 2k 2k 2k 2k 2k 2k

4
**1.) Find the volume of this rectangular prism**

10 Bases 4 3

5
**2.) Find the Lateral area and Total area of this rectangular prism**

10 Bases 4 3

6
**Sample problem A right triangular prism has height 20 and base edges 5, 12, 13. Total area?**

TA=LA+2B =ph+2(1/2bh) =30(20)+2(1/2)(5)(12) =600+60 =660 units2 20cm 13cm 5cm 12cm

7
**Sample problem A right triangular prism has height 10 and base edges 3, 4, 5. TA?**

Total area=_______ 10cm 5cm 3cm 4cm

8
**Sample problem for 4. Find the Lateral Area of a triangular prism**

LA=ph =(8+8+6)(12) =22(12) =264 units2 12 8 8 6

9
**4. Find Lateral Area of the triangular prism**

20 16 16 12

10
**Sample problem. Find the missing variable for each prism.**

5.) B=9 in.2 V=81 in.3 h= 6.) V=121 B= h=11 7.) LA=180ml p= h=9ml V=Bh 81=9h h=9 in. 9 9 V=Bh 121=B(11) B=11 in. LA=ph 180= p(9) p=20 ml

11
**Find the missing variable for each prism.**

7.) LA=729 p= h=9

12
**Sample problem: Find the volume of a Cylinder**

√H = √9 H = 3 V=Bh =πr2h =π(2)2(3) =12π ft.3 5 ft h=___ ft 4 ft d=______ r=______ h=______

13
**8. Find the volume of a Cylinder**

25 ft h=___ ft 24 ft d=______ r=______ h=______

14
**Sample problem: If the ratio of radii of two similar cylinders is 1:2**

a.) Ratio of corresponding Perimeters? 1:2 b.) Ratio of areas? 12:22 = 1:4 c.) Ratio of volumes? 13:23 = 1:8 If the volume of the smaller cylinder is 48 cm3 what is the volume of the bigger sphere?

15
**9.) If the ratio of radii of two similar cylinders is 3:5**

a.) Ratio of corresponding Perimeters?_______ b.) Ratio of areas?______ c.) Ratio of volumes?______ If the volume of the smaller sphere is 54 cm3 what is the volume of the bigger sphere?

16
**Sample Problem: Find the area and volume of the sphere with a radius of 10 cm**

a.) Area=4πr b.) Volume= =4π(10)2 =4π(100) =400π cm2

17
**10. Find the area and volume of the sphere with a radius of 5**

a.) Area=_______ b.) Volume=_______

18
**Sample problem A regular pyramid has a base edge of 3cm and volume 135cm3 Find h.**

Volume=1/3Bh 135=1/3(9)h 135= 3h 45 cm=h h 3 cm 3 cm

19
**11. A regular pyramid has a base edge of 3cm and volume 100cm3 Find h.**

20
**Sample problem A cone has radius 8 and height 6. Find the volume**

Sample problem A cone has radius 8 and height 6. Find the volume. Slant height V=1/3Bh =1/3πr2h =1/3π(8)2(6) =1/3π64(6) =1/3π384 =384/3π =128π L=slant height 62+82=l2 36+64=l2 100=l2 10=l (2x3)2+(2x4)2=l2 l=5x2=10 H=6 r=8

21
**12. A cone has radius 12 and height 9. Find the volume. Slant height**

L=slant height =__________ H=9 r=12

22
**Sample problem A cone has radius 8 and height 6. Find Total area.**

TA=LA+B =πrl+πr2 =π(8)(10)+π82 =80π+64π =144π units2 l=slant height 62+82=l2 36+64=l2 100=l2 10=l (2x3)2+(2x4)2=l2 l=5x2=10 H=6 r=8

23
**13. A cone has radius 12 and height 9. Find Total area.**

l=slant height =_____ H=9 r=12

24
**Sample problem A cylinder has a radius 6cm and height 4cm**

Sample problem A cylinder has a radius 6cm and height 4cm. Find total area. TA=LA+2B =ph+2B =(2πr)h+2πr2 =2π(6)(4)+2π62 =48π+72π =120π cm2 h=4 R=6

25
**14. A cylinder has a radius 8cm and height 3cm. Find total area.**

26
**Sample problem. A cylinder has a radius 6cm and height 4cm. Find volume.**

V=Bh =πr2h =π62(4) =π36(4) =144π cm3 h=4 R=6

27
**15. A cylinder has a radius 8cm and height 3cm. Find volume.**

Similar presentations

OK

Learn and apply the formula for the surface area and volume of a pyramid. Learn and apply the formula for the surface area and volume of a cone. Objectives.

Learn and apply the formula for the surface area and volume of a pyramid. Learn and apply the formula for the surface area and volume of a cone. Objectives.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on column chromatography separation Ppt on resources and development class 10 Ppt on writing book reviews Ppt on bluetooth hacking statistics Ppt on history of cricket class 9 Ppt on conceptual art definition Ppt on polynomials in maths what does mode Ppt on power line communication journal A ppt on motivation Ppt on corporate governance in india