Trigonometry Worksheet

1) rectangular prism formula: V = lwh l = 4.0 cm, w = 5.4 cm, h = 9.0 cm V = (4.0 cm)(5.4 cm)(9.0 cm) V = 194.4 cm³ 3) rectangular prism formula: V = lwh l = 2 ft, w = 6 ft, h = 3 ft. V = (2 ft)(6 ft)(3 ft) V = 36 ft³ 5) right circular cylinder formula: V = πr²h r = 4 cm, h = 12 cm V = π(4 cm)²(12 cm) V = 192π cm³ 7) right circular cylinder formula: V = πr²h, r = d/2 r = 3.2 ft / 2 = 1.6 ft, h = 1.8 ft V = π(1.6 ft)²(1.8 ft) V = 4.608 ft³ 9) right circular cone formula: V = 1/3 πr²h, r² + h² = l² h = 8m r² + 8² = 10² r² = 36 r = 6 m V = 1/3 π(6m)²(8m) V = 96π m³ 11) right circular cone formula: V = 1/3 πr²h r = 12, h = 20 V = 1/3 π(12²)(20) V = 960 cm³ 13) right square pyramid formula: V = 1/3 s²h s = 5 m, h = 7 m V = 1/3 (5m)²(7m) V = 175/3 m³ 17) rectangular pyramid formula: V = 1/3 (Bh) or V = 1/3 lwh l = 8 in, w = 7 in, h = 6 in. V = 1/3 (8 in)(7 in)(6 in) V = 112 in³ 15) Square Pyramid formula: V = 1/3 s²h V = 1/3 (4 cm)²(9 cm) V = 1/3 (144 cm³) V = 48 cm³ Answer: V = 48 cm³ 19) sphere formula: V = 4/3 πr³ r = 14 m V = 4/3 π(14 m)³ V = 10976/3 π m³ 21) sphere formula: V = 4/3 πr³ r = 2 in V = 4/3 π(2 in)³ V = 32/3 π in³ 23) right circular cone + half a sphere 1 Sphere + 1 Cone 2 (4/3 πr³) + 1/3 πr²h 2 (4/3 π(3)) + 1/3 π(3)²(42) 39546 π + 21299 π 60840 π FT 3 25) Volume cone + Volume cylinder V = 1/3 πr²h + πr²h r = 5 cm h = 13 cm r = 5 cm h = 2 cm V = 1/3 π(5)²(13) V = 325/3 π cm³ V = π(5)²(2) V = 50π cm³ Total volume = 325/3 π + 50π = 475/3 π cm³ Answer OR 158.33 cm³ 27) Triangular Prism + rectangular Prism V = 1/2 bhl V = lwh b = 30 ft h = 8 ft L = 50 ft L = 50 ft W = 30 ft h = 12 ft V = 1/2 (30)(8)(50) V = 6000 V = (50)(30)(12) V = 18000 TOTAL Volume 6000 + 18000 = 24000 Answer: Volume 24000 FT³ 29) right triangular prism + rectangular prism formula: V = ½bhl V = lwh b = 8 in, h = 11 in, l = 17 in l = 17 in, w = 8 in, h = 5 in V = ½(8 in)(11 in)(17 in) V = 748 in³ V = (17 in)(8 in)(5 in) V = 680 in³ V = 1428 in³ 31) rectangular prism + rectangular prism V = lwh V = lwh l = 20 mm l = 80 mm w = 10 mm w = 10 mm h = 40 mm h = 20 mm V = (20 mm)(10 mm)(40 mm) V = 8000 mm³ V = (80 mm)(10 mm)(20 mm) V = 16000 mm³ V = 24000 mm³