Victory for the ACT Exam 16e TG Sample

520 • M ATH

SOLIDS

E�ixgaumrei.nAeneys nmeacyesbseaaryskfeodrmtou�lainsdatrheegliavetenrawl istuhrtfhaeceitaermeas,tteomta. l surface area, or volume of a solid

Don’t Forget This! Cube volume: 3 Cube surface area: SA x 6 = 2 Prism volume: V = bwh Prism surface area: SA = 2 bw + 2 wh + 2 bh Cylinder volume: 0 V r h 2 = r Caryelian:der lateral surface 2 LSA rh = r 0 Caryelian:der total surface TSA =2 π rh +2 π r 2 Sphere volume: V r = r 3 4 3 Sphere surface area: 4 SA r 2 = r Cube V = x 3 SA = 6 x 2 Prism V x = 0

STUDENT TEXT, p. 190 26. To fhlee np gr itshms 1b2e,l o1 w6 , ha na sd b2a0s ec se nwt ii mt hestiedress. Tc ehnet idmi set taenrcse. Wb eht awt ei es nt ht eh el abt ea rs ae ls si us r3f a0c e area, in square centimeters, of the prism?

EXPLANATIONS

26 . (G) Mathematics/Geometry/Solids CC: HSG-MG.A.1 CCRS: ADV.G.1

Difficulty Level = 2; Teaching Time = 3–6 minutes; Purpose = Walkthrough Lo fa tt ehrea sl isduersf,anc oe tatrheea b( La Ss eAs). iSsi nt hc ee at hr ee ar e arercettahnrgeleess,ideaecshanredctthaneyglaerheaesaachlength of 30 centimeters: LSA = 30(20) + 30(16) + 30(12) = 1,440 square centimeters.

F. 1,632 G. 1,440 H. J. 6 4 0 8 0 0

V = bwh SA = 2 bw + 2 wh + 2 bh Cylinder

0 V r h 2 r = 2 0 LSA rh r = 2 2 0 TSA rh r 2 r r Sphere

3 4 V r 3 r = 4 SA r 2 r =