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-1-<br />
©f u2S0I1i2x JK4uWtbay cSmo7fmtswJakrseh hLBLCCb.m j eAPlxlV frjiEgth2tash IrOe6sfebrpv8eCdd.b P wMFaZdQex bwciXt2hf pIinRfmiOnJittTeO GGfe4oNmpeetXrkyN.O Worksheet by <strong>Kuta</strong> <strong>Software</strong> LLC<br />
<strong>Kuta</strong> <strong>Software</strong> - Infinite Geometry<br />
Name___________________________________<br />
<strong>Similar</strong> <strong>Solids</strong><br />
Are the two figures similar? If so, state the scale factor.<br />
Date________________ Period____<br />
1)<br />
2)<br />
12 ft<br />
40 ft<br />
40 m<br />
8 m<br />
24 ft<br />
18 ft<br />
80 ft<br />
60 ft<br />
50 m<br />
20 m<br />
3)<br />
27 km<br />
81 km<br />
4)<br />
18 cm<br />
54 cm<br />
18 km<br />
6 cm<br />
54 km<br />
21 cm<br />
Each pair of figures is similar. Use the information given to find the scale factor of the figure on the left<br />
to the figure on the right.<br />
5)<br />
6)<br />
SA = 396 cm²<br />
SA = 275 cm²<br />
SA = 7π in²<br />
SA = 175π in²<br />
7)<br />
8)<br />
V = 20000 mi³<br />
V = <strong>10</strong>240 mi³<br />
V = 3240 in³<br />
V = 120 in³
-2-<br />
©N 52n0w1s2B TKguktAaF 3SnovfFt8wzaCr7eQ zLKLeC1.h m xATlJlJ RrXiXgshxtbsT OrueMsde1rCv0evdG.w D oMpand4e5 Ow4istVhm aIrnWf2iSnBiGtmef eGSewo4mXeRtprMyg.E Worksheet by <strong>Kuta</strong> <strong>Software</strong> LLC<br />
Each pair of figures is similar. Find the scale factor of the figure on the left to the figure on the right.<br />
Then find the ratio of surface areas and the ratio of volumes.<br />
9)<br />
<strong>10</strong>)<br />
200 mi<br />
160 mi<br />
42 km<br />
63 km 63 km<br />
24 km<br />
36 km 36 km<br />
<strong>10</strong>0 mi<br />
80 mi<br />
The scale factor between two similar figures is given. The surface area and volume of the smaller figure<br />
are given. Find the surface area and volume of the larger figure.<br />
11) scale factor = 1 : 2<br />
SA = 90 yd²<br />
V = 216 yd³<br />
12) scale factor = 4 : 9<br />
SA = 256 km²<br />
V = 1536 km³<br />
Some information about the surface area and volume of two similar solids has been given. Find the<br />
missing value.<br />
13) Solid #1<br />
SA = <strong>10</strong>88 km²<br />
V = 13312 km³<br />
Solid #2<br />
SA = 425 km²<br />
V = ?<br />
14) Solid #1<br />
SA = 1<strong>10</strong>0 yd²<br />
V = 19000 yd³<br />
Solid #2<br />
SA = 176 yd²<br />
V = ?<br />
15) Solid #1<br />
SA = 468 ft²<br />
V = 1944 ft³<br />
Solid #2<br />
SA = ?<br />
V = 9 ft³<br />
16) Solid #1<br />
SA = 54 m²<br />
V = 648 m³<br />
Solid #2<br />
SA = ?<br />
V = 8232 m³
-1-<br />
©u Q290v1321 OKGuktjap 5SfoWfotbwsaFrNeY tLyLHCy.1 T CAQlNlB Xr3iTgThvtas5 Cr pels4eOrfvee9dH.0 O FMsaBdfe9 AwliItuh1 cI7nSfGiYnDiJtLeu wGCeQo4mIeDtSroyO.O Worksheet by <strong>Kuta</strong> <strong>Software</strong> LLC<br />
<strong>Kuta</strong> <strong>Software</strong> - Infinite Geometry<br />
Name___________________________________<br />
<strong>Similar</strong> <strong>Solids</strong><br />
Are the two figures similar? If so, state the scale factor.<br />
Date________________ Period____<br />
1)<br />
2)<br />
12 ft<br />
40 ft<br />
40 m<br />
8 m<br />
24 ft 18 ft<br />
Yes; 3 : <strong>10</strong><br />
80 ft<br />
60 ft<br />
No<br />
50 m<br />
20 m<br />
3)<br />
27 km<br />
81 km<br />
4)<br />
18 cm<br />
54 cm<br />
18 km<br />
6 cm<br />
54 km<br />
21 cm<br />
Yes; 1 : 3<br />
No<br />
Each pair of figures is similar. Use the information given to find the scale factor of the figure on the left<br />
to the figure on the right.<br />
5)<br />
6)<br />
SA = 396 cm²<br />
SA = 275 cm²<br />
SA = 7π in²<br />
SA = 175π in²<br />
6 : 5<br />
1 : 5<br />
7)<br />
8)<br />
V = 20000 mi³<br />
5 : 4<br />
V = <strong>10</strong>240 mi³<br />
V = 3240 in³<br />
3 : 1<br />
V = 120 in³
-2-<br />
©L O2Q0a1f2A qKnuvtIan ZSRoyf7tWwbaZrvef nLtLGC0.p b bAxl3lb ir8i5g7h0tpsR Rrjefs8e5rfvZeHdD.e Z kMraxdxe0 iwbiEtEhW jIcnffAiZnDictvee JGZexoam1eNt3rMyR.x Worksheet by <strong>Kuta</strong> <strong>Software</strong> LLC<br />
Each pair of figures is similar. Find the scale factor of the figure on the left to the figure on the right.<br />
Then find the ratio of surface areas and the ratio of volumes.<br />
9)<br />
<strong>10</strong>)<br />
160 mi<br />
200 mi<br />
<strong>10</strong>0 mi<br />
5 : 4, 25 : 16, 125 : 64<br />
80 mi<br />
42 km<br />
24 km<br />
63 km 63 km<br />
36 km 36 km<br />
7 : 4, 49 : 16, 343 : 64<br />
The scale factor between two similar figures is given. The surface area and volume of the smaller figure<br />
are given. Find the surface area and volume of the larger figure.<br />
11) scale factor = 1 : 2<br />
SA = 90 yd²<br />
V = 216 yd³<br />
SA = 360 yd², V = 1728 yd³<br />
12) scale factor = 4 : 9<br />
SA = 256 km²<br />
V = 1536 km³<br />
SA = 1296 km², V = 17496 km³<br />
Some information about the surface area and volume of two similar solids has been given. Find the<br />
missing value.<br />
13) Solid #1<br />
SA = <strong>10</strong>88 km²<br />
V = 13312 km³<br />
Solid #2<br />
SA = 425 km²<br />
V = ?<br />
14) Solid #1<br />
SA = 1<strong>10</strong>0 yd²<br />
V = 19000 yd³<br />
Solid #2<br />
SA = 176 yd²<br />
V = ?<br />
V = 3250 km³<br />
V = 1216 yd³<br />
15) Solid #1<br />
SA = 468 ft²<br />
V = 1944 ft³<br />
Solid #2<br />
SA = ?<br />
V = 9 ft³<br />
16) Solid #1<br />
SA = 54 m²<br />
V = 648 m³<br />
Solid #2<br />
SA = ?<br />
V = 8232 m³<br />
SA = 13 ft²<br />
SA = 294 m²<br />
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