## Transcription

Name Date Class , LESSON Reteach, 10 4 Surface Area of Prisms and Cylinders continued. You can find the surface area of a composite three dimensional. figure like the one shown at right , surface surface. hidden, area of area of , surfaces, small prism large prism. The dimensions are multiplied by 3 , Describe the effect on the surface area . original surface area new surface area dimensions multiplied by 3 . S Ph 2B S Ph 2B, 20 3 2 16 P 20 h 3 B 16 60 9 2 144 P 60 h 9 B 144.

2, 92 mm Simplify 828 mm2 Simplify , Notice that 92 9 828 If the dimensions are multiplied by 3 the. surface area is multiplied by 32 or 9 , Find the surface area of each composite figure Be sure to subtract. the hidden surfaces of each part of the composite solid Round to the. nearest tenth , 5 6 , , Describe the effect of each change on the surface area of the given figure . 1, 7 The length width and height are 8 The height and radius are multiplied by . 2, multiplied by 2 , , Original content Copyright by Holt McDougal Additions and changes to the original content are the responsibility of the instructor .

10 31 Holt Geometry, LESSON 10 4 Reteach, 1 L 78 ft2 S 150 ft2. Practice A, 2 L 86 8 cm2 S 96 8 cm2, 1 L Ph 2 L 2 rh. 3 L 60 in2 S 110 in2, 3 S L 2B 4 S 6s2, 4 L 120 cm2 S 152 cm2. 5 S 2 rh 2 r2, 2 2 5 S 68 cm2 6 S 64 6 in2, 6 L 120 cm S 168 cm. 7 The surface area is multiplied by 4 , 7 L 160 m2 S 280 m2.

1, 8 L 16 ft2 S 24 ft2 8 The surface area is multiplied by . 4, 9 L 8 in2 S 16 in2, 10 L 60 mm2 S 78 mm2 Challenge. 11 384 in2 12 50 3 in2 1 a 6, 2 2, 13 6 3 in 14 428 0 in b 8. 2 pyramid, Practice B, 3 a 100 in2, 1 L 176 mi2 S 416 mi2. 2 L 70 mm2 S 83 8 mm2 b 25 3 in2, 3 L 1600 in2 S 2400 in2 c 600 200 3 in2.

4 L 60 cm2 S 110 cm2 4 a 10 2 in , 5 L 676 ft2 S 1014 ft2. b 2000 2 in3, 2 2, 6 L 8 m S 40 m, 125, 7 123 7 km2 8 113 7 in2 c 2 in3. 3, 9 The surface area is multiplied by 144 , 5000. 10 The surface area is divided by 16 d 2 in3, 3, 11 2 by 2 by 2 12 8 by 1 by 1. 5 S 6n2 2n2 3, Practice C 5 3, 2 V n 2, 1 31 840 mm 3.

2 The fins greatly increase the surface area 6 S 12m2 12m2 2 2m2 3. of the heat sink The large surface area, allows the heat to be radiated into the air 14 3. V 7m3 m 2, more rapidly 3, 3 52 in2 4 2153 1 m2 Problem Solving. 5 48 yd2 6 1156 1 ft2 1 275 1 mm2, 7 45 7 mm2 8 99 5 cm2 2 160 lateral surfaces. 9 3 B 4 G, 5 C 6 G, Reading Strategies, 1 L 68 in2. S 188 in2, 2 L 565 5 cm2, S 1979 2 cm2, Original content Copyright by Holt McDougal Additions and changes to the original content are the responsibility of the instructor .

A29 Holt Geometry, Name Date Class , LESSON Reteach. 10 6 Volume of Prisms and Cylinders, Volume of Prisms. Prism The volume of a prism with base, area B and height h is. V Bh , Right Rectangular The volume of a right rectangular. Prism prism with length width w and, height h is.

V wh , Cube The volume of a cube with edge, length s is. V s3 , Volume of a Cylinder, The volume of a cylinder with base area B . radius r and height h is, V Bh or V r 2h , Find the volume of each prism . 1 2 , , Find the volume of each cylinder Give your answers both in terms of. and rounded to the nearest tenth , 3 4 , , Original content Copyright by Holt McDougal Additions and changes to the original content are the responsibility of the instructor .

10 46 Holt Geometry, Name Date Class , LESSON Reteach. 10 6 Volume of Prisms and Cylinders continued, The dimensions of the prism are. 1, multiplied by Describe the effect, 3, on the volume . 1, original volume new volume dimensions multiplied by . 3, V wh V wh, 12 3 6 12 w 3 h 6 4 1 2 4 w 1 h 2.

216 cm3 Simplify 8 cm3 Simplify , 1 1, Notice that 216 8 If the dimensions are multiplied by the volume is multiplied. 27 3, 3, 1 1, by or, 3 27 , Describe the effect of each change on the volume of the given figure . 1, 5 The dimensions are multiplied by 2 6 The dimensions are multiplied by . 4, , Find the volume of each composite figure Round to the. nearest tenth , 7 8 , , Original content Copyright by Holt McDougal Additions and changes to the original content are the responsibility of the instructor .

10 47 Holt Geometry, Problem Solving, Practice C. 1 16 cm 2 222 4 mm2, 1 2 6 2 6 2 0 62 oz in3, 3 18 7 in 4 8 mm. 3 1 04 in3 4 28 13 in3, 5 D 6 F, 5 a cube with edge length 10 cm. 7 B 8 G, 6 2 5 cm 7 V 79 3 mm3, Reading Strategies 8 V 139 4 ft3. 1 Possible answer it is not perpendicular to, the base is slanted diagonally and is the Reteach.

height of a lateral face 1 V 576 cm3 2 V 60 in3, 2 The base of a pyramid could be different 3 V 640 mm3 2010 6 mm3. polygons The base of a cone is always a 4 V 45 ft3 141 4 ft3. circle , 5 The volume is multiplied by 8 , 3 L 84 8 cm2. 1, S 113 1 cm2 6 The volume is multiplied by , 64. 4 L 180 ft2, 7 V 200 3 m3 8 V 110 0 ft3, 2, S 216 ft. Challenge, LESSON 10 6 1 117h in3 2 64h in3, Practice A 3 55 .

2, 1 V s3 2 V Bh 4 a 1 tablespoons, 3, 3 V r2h 4 V wh. b 22, 3, 5 V 40 cm 6 V 13 5 yd3 1, c 2 cups, 7 162 5. 8 V 28 m3 V 88 0 m3 1, 3 3, d 3 cups, 9 V 200 in V 628 3 in 3. 10 V 10 ft3 11 V 270 ft3 5 Check students work , 12 The volume is multiplied by 27 6 Multiply the amount of each ingredient by. 2ab, 13 V 114 3 mm3 Round to reasonable measures .

117, Practice B Make sure that c is less than or equal to. 2h , 1 V 42 mi3 2 V 7242 6 mm3, 3 V 0 4 m3 Problem Solving. 3 3, 4 V 32 yd V 100 5 yd 1 about 23 50 cups 2 about 25 gal. 5 V 13 5 km3 V 42 4 km3 3 B 4 J, 3 3, 6 V 810 ft V 2544 7 ft 5 C 6 F. 3, 7 V 278 3 cm, Reading Strategies, 8 The volume is divided by 8 .

1 V 512 cm3 2 V 424 1 in3, 9 The volume is divided by 125 . 3 V 8000 in3 4 V 785 4 ft3, 3 3, 10 V 109 9 ft 11 V 166 3 cm. 5 V 144 m3, Original content Copyright by Holt McDougal Additions and changes to the original content are the responsibility of the instructor . A31 Holt Geometry, Volume and Surface Area of Triangular Prisms A . Instructions Find the volume and surface area for each triangular prism . 1 2 , 2 5 cm, 6 2 ft 8 5 ft, 8 5 cm, 5 1 cm, 5 33 ft 3 8 ft.

6 8 cm, 9 8 ft, 3 4 , 5 3 mi 5 4 m 4 3 m, 4 1 m. 3 3 mi 2 4 m, 2 3 mi 1 26 mi 8 4 m, 3 6 mi, 5 6 . 8 1 yd, 2 1 yd, 3 6 km, 7 7 km, 5 1 yd, 8 5 km. 1 8 km 2 02 yd, 7 8 yd, MATH DRILLS COM MATH DRILLS COM MATH DRILLS COM MATH DRILLS COM. Volume and Surface Area of Triangular Prisms Answer A . Instructions Find the volume and surface area for each triangular prism . Formula Volume V 0 5 x bhl Surface Area A bh s1 s2 s3 l. 1 2 , 2 5 cm, 6 2 ft 8 5 ft, 8 5 cm, 5 1 cm, 5 33 ft 3 8 ft.

6 8 cm, 9 8 ft, V 0 5x9 8x5 33x3 8 99 2 ft3 V 0 5x6 8x5 1x2 5 43 4 cm3. A 9 8x5 33 9 8 6 2 8 5 x3 8 145 3 ft2 A 6 8x5 1 6 8 5 1 8 5 x2 5 85 7 cm2. 3 4 , 5 3 mi 5 4 m 4 3 m, 4 1 m, 3 3 mi 2 4 m, 2 3 mi 1 26 mi 8 4 m. 3 6 mi, V 0 5x5 3x1 26x3 3 11 0 mi3 V 0 5x8 4x2 40x4 1 41 3 m3. A 5 3x1 26 5 3 3 6 2 3 x3 3 43 6 mi2 A 8 4x2 40 8 4 5 4 4 3 x4 1 94 4 m2. 5 6 , 8 1 yd, 2 1 yd, 3 6 km, 7 7 km, 5 1 yd. 8 5 km, 1 8 km 2 02 yd, 7 8 yd, V 0 5x3 6x7 7x1 8 24 9 km3 V 0 5x8 1x2 02x5 1 41 7 yd3.

A 3 6x7 7 3 6 7 7 8 5 x1 8 63 4 km2 A 8 1x2 02 8 1 2 1 7 8 x5 1 108 2 yd2. MATH DRILLS COM MATH DRILLS COM MATH DRILLS COM MATH DRILLS COM. Volume and Surface Area of Parallelogram Prisms A . Instructions Find the volume and surface area for each parallelogram prism . 1 , 2 , 8 0 in, , , 7 3 in 10 1 m, , 9 1 m, . , 6 5 in 20 0 in, , 27 2 m, , 13 3 m, , , 3 4 . , 13 1 ft, , , , 6 1 ft 12 2 ft, , , , 10 1 yd . 6 1 yd 30 0 ft, , 26 6 yd, , 11 1 yd, , MATH DRILLS COM MATH DRILLS COM MATH DRILLS COM MATH DRILLS COM. Volume and Surface Area of Parallelogram Prisms A . Instructions Find the volume and surface area for each parallelogram prism . , 1 2 , 8 0 in, , , 7 3 in 10 1 m, , 9 1 m, .

, 6 5 in 20 0 in, , 27 2 m, , 13 3 m, , , V Area of ABCD x AE. V Area of ABCD x AE AB x EI x FB, AB x FI x AE 27 2 x 9 1 x 10 1. 20 0 x 6 5 x 7 3 2500 0 m3, 949 0 in3, A 2x Area of ABCD perimeter of ABCD x AE A 2x Area of ABCD perimeter of ABCD x FB . 2x AB x FI 2x AB 2x BC x AE 2x AB x EI 2x AB 2x BC x FB . 2x 20 0 x 6 5 2x 20 0 2x 8 0 x7 3 2x 27 2 x 9 1 2x 27 2 2x 13 3 x10 1 . 668 8 in2 1313 1m2, 3 , 4 , 13 1 ft, , , , 6 1 ft 12 2 ft. , , , 10 1 yd , 6 1 yd 30 0 ft, , 26 6 yd, .

11 1 yd, V Area of ABCD x AE, AB x HI x HD, 30 0 x 12 2 x 6 1. V Area of ABCD x AE 2232 6 ft3, AB x FI x AE, 26 6 x 10 1 x 6 1. 1638 8 yd3 A 2x Area of ABCD perimeter of ABCD x AE . 2x AB x HI 2x AB 2x BC x HD , 2x 30 0 x12 2 2x 30 0 2x 13 1 x6 1 . A 2x Area of ABCD perimeter of ABCD x AE 1257 8 ft2. 2x AB x FI 2x AB 2x BC x AE , 2x 26 6 x 10 1 2x 26 6 2x 11 1 x6 1 . 997 3 yd2, MATH DRILLS COM MATH DRILLS COM MATH DRILLS COM MATH DRILLS COM.

Volume and Surface Area of Trapezoid Prisms C , Instructions Find the volume and surface area for each trapezoid prism . 1 2 , , , 14 2 in 26 3 cm, 30 0 in 22 3 cm, 12 3 in. 21 4 cm, , , , 3 1 cm , 10 1 in , , 8 1 cm 22 3 cm. 26 0 in, , , 3 4 , 10 1 yd, , 20 1 yd 5 1 yd. 12 1 m , 20 8 m , 10 1 yd , 11 1 m, , , , 5 2 yd 27 9 yd.

, 25 3 m 4 1 m , , MATH DRILLS COM MATH DRILLS COM MATH DRILLS COM MATH DRILLS COM. Volume and Surface Area of Trapezoid Prisms C , Instructions Find the volume and surface area for each trapezoid prism . 1 , 2 , , 14 2 in 26 3 cm, 30 0 in 22 3 cm, 12 3 in. 21 4 cm, , , , 3 1 cm , 10 1 in , , 8 1 cm 22 3 cm. 26 0 in, , , V Area of ABCD x AE, V Area of ABCD x AE 0 5x AB CD x EI x AE.

0 5x AD BC x GI x AE 0 5x 8 1 26 3 x21 4 x 3 1, 0 5x 30 0 26 0 x12 3 x 10 1 1141 0 cm3. 3478 4 in3, A 2x Area of ABCD perimeter of ABCD x AE . A 2x Area of ABCD perimeter of ABCD x AE 2x 0 5x AB CD x EI 2x AD AB CD x AE . 2x 0 5x AD BC x GI AB BC CD DA x AE 2x 0 5x 8 1 26 3 x21 4 2x 22 3 8 1 26 3 x3 1 . 2x 0 5x 30 0 26 0 x12 3 12 3 26 0 14 2 30 0 x10 1 981 1 cm2. 1522 1 in2, 3 4 , 10 1 yd, , 20 1 yd 5 1 yd, 12 1 m . 20 8 m , 10 1 yd , 11 1 m, , , , 5 2 yd 27 9 yd. , 25 3 m 4 1 m , , V Area of ABCD x AE, 0 5x AB CD x GI x AE.

V Area of ABCD x BF 0 5x 27 9 20 1 x5 1 x 5 2, 0 5x AB CD x HI x BF 636 5 yd3. 0 5x 25 3 20 8 x11 1 x 4 1, 1049 0 m3, A 2x Area of ABCD perimeter of ABCD x AE . 2x 0 5x AB CD x GI 2x AD AB CD x AE , A 2x Area of ABCD perimeter of ABCD x BF 2x 0 5x 27 9 20 1 x5 1 2x 10 1 27 9 20 1 x5 2 . 2x 0 5x AB CD x HI AB BC CD DA x BF 599 4 yd2, 2x 0 5x 25 3 20 8 x11 1 25 3 11 1 20 8 12 1 x4 1 . 795 8 m2, MATH DRILLS COM MATH DRILLS COM MATH DRILLS COM MATH DRILLS COM.

Find the lateral area and surface area of each right prism 1 2 Find the lateral area and surface area of each right cylinder Give your answers in terms of 3 4 Lateral and Surface Area of a Right Prism Lateral Area The lateral area of a right prism with base perimeter P and height h is L Ph Surface Area The