Volume of a right rectangular prism: V = Bh where B is the area of the base and h is the height or length of the prism

7 cm Example: l = 6 cm; w = 5 cm; h = 7 cm

V = lwh V = 6 cm x 5 cm x 7 cm V = 210 cm3 5 cm

6 cm

Volume of a Cylinder: V = Bh where B is the area of the 2 cm base and h is the height or length of the cylinder

Example: The base is a circle so B is the area of a circle or B = r2 with r = 2 cm and h = 12 cm.

V = r2h 12 cm V =  x (2 cm)2 x 12 cm V =  x 4 cm2 x 12 cm V = 48 cm3

13 ft Bh Volume of a Cone: V = where B is the area of the 12 ft 3 base and h is the height

5 ft Example: The base is a circle so B is the area of a circle or B = r2 with r = 5 ft and h = 12 ft. Bhp r2 h V = = 3 3 p x (5 ft)2 x 12 ft V = 3 p x 25 ft2 x 12 ft V = 3 300 p ft3 V = 3 V = 100 ft3 8 mm 4p r3 Volume of a Sphere: V = where r is the radius 3 Example: r = 8 mm 4p r3 V = 3 4p x (8 mm)3 V = 3 4p x 512 mm3 V = 3 2048p mm3 V = 3

Volume of a Triangular Prism: V = Bh where B is the area of the base and h is the height or length of the prism

Example: b = 6 m; htriangle = 5 m; hprism = 7 m 7 m V = Bh = 0.5b htriangle hprism V = 0.5(6 m x 5 m) x 7 m 5 m V = 0.5(30 m2 ) x 7 m V = 15 m2 x 7 m V = 105 m3 6 m Bh Volume of a Triangular Pyramid: V = where B is 3 the area of the base and h is the height 13 mm

12 mm Example: b = 10 mm; htriangle = 12 mm; hpyramid = 13 mm Bh 1 bh h V = = 2 triangle pyramid 3 3 1 (10mm创 12mm) 13mm V = 2 10 mm 3 1 120mm2 13mm V = 2 ( ) 3 60mm2 13mm V = 3 780mm3 V = 3 V = 260mm3 Bh Volume of a Square Pyramid: V = where B is the 3 15 ft area of the base and h is the height

Example: s = 11 ft; hpyramid = 15 ft Bh s2 h V = = pyramid 3 3 (11ft)2 15ft 11 ft V = 3 121ft2 15ft V = 3 1815ft3 V = 3 V = 605ft3