University:
Winston-Salem Forsyth County Schools
Course:
AP Calculus AB
Academic year:

2014
Views:

116

Pages:

2
Author:

merlin1181sff

Solids Review Worksheet Name Prisms and Cvlinders: Pyramids and Cones: LA - ph LA = - 1p Arto 21 square SA = LA + 2B| SA = LA + B Rectangle Triangle 2th V = Bh 1/ V =- 5 Bh Trapezoid Eh(b.thz) Circle 71F2 I. Find the Lateral Area (LA), total Surface Area (SA), and Volume (V) for each solid. 1) Rectangular Prism (Bases are the 5 x 13 rectangles) | 2) Right Triangular Prism LA - 144 LA = 90 51 - 274 SA - 150 v -. 260 V= P = 2(5+13) = 36 131 90 P : 5+12+13= 30 h = 3 h. 4 B = 5(13) =65 B = Z(12)(5) = 30 LA = (34)(4)=144 LA = (30)(3)= 90 SA= 144+2(65) = 274 SA = 90+2(30) = 150 V = (65)(4) - 260 V = (30)(3) = 90 3) Right Trapezoidal Prism 4) Square Pyramid 12 LA - 252 LA-_ 544 SA - 324 SA - 800 1-324. 1-1280 P =1246+515 = 28 p= 4(14) = 64 h= 9 h= 15 B= E(4) (12+6) = 2(4)(18) = 36 B= 16(16) = 256 l= 17 LA = (28)(9) = 252 LA: Z(17X64) =544 SA = 252+ 2(36) = 324 SA = 544+256=800 V = (36)(9) =324 V = 3(256)(15) = 1280 5) Cylinder LA = 1007 SA= 15017 250 г p = 21(5) = 1011 h = 10 B= п(5) '= 251 6) Cone LA - 72011 10 SA - 12961T 3456T LA = (10m) (10) = 100 T p = 21(24) • 48 п SA = 100П + 2(25 п) = 150TT h = 18 В = П (24)* 57671 V = (25)(10) = 250 m l = 30 30| Perimeter add all sides 2mr or nd r= 24 481 LA = ₴(30)(48m) SA = 72011 + 5761T V= $(51611/18) II. Find the Volume (V) of the solid. 7) Square Pyramid 3 21 m v = 4315 m 25 m V= 3 Bh B= 25(25) = 625 h = 21 V= 3(625\21) Ill. Answer each. 8) Find the height of an cquilateral triangular prism if the area of the base is 49/3 and the volume is 98/3. 2 V= Bh 9813 = 49/3.h 493 4913 h = 2 10) Find the volume of a pyramid if the base pyramid is 12 and the height orm a pyramid is 12 cm. V= 3 Bh v= $(27)(12) 9) Find the slant height of a square pyramid if the base edge is 6 and the lateral area is 60. LA = 2lp 5 p = 6(4)=24 60= ½l(24) 60 - 122 1=5 11) How much oil is needed to fill a cylinder if the the cylinder is 8 te 2 oct 100. 55 4+*$ the cylinder is 8 feet? v= Bh В = ПП(2) ' = Чт V = 4п(8) V = 32m V= 100.53 12) Use the figure below to: (a) classify the figure. Then state the following: (b) the # of faces, (c) the # of vertices, and (d) the # of edges of the figure. a) pentagonal prism b) F= c) V = d) E = 15 5 sides