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## Finding Volume

### Mathematics, Grade 7

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8 cm (d) (h) (r) 9 cm 5 cm 5 cm 14 12 3.14 16 9 3.14 4 2 9 diameter (d) = radius (r) = radius (r) = r = 4 cm 3 cm 3 cm 3 cm 3 cm 8 cm 3 cm 4 cm 6 cm Area of a rectangular base 3 cm Rectangular Prism Prism (h) ( ) (w) (b) ( ) (h) (r) (h) 8 cm V = x w x h V = r 2 h V V = V = V = V = V = 45 cm3 3.14 168 cm3 452.16 cm3 Base Area Length (A) ( ) b h, or 4 7 = 14 1 2 1 2 V V d 2 8 cm 2 V = r 3 4 3 V = r 2 h 1 3 V = B h V = 64 cm3 V = B = B = 1 3 V 75.36 cm3 V 113.04 cm3 V V V V 1 3 1 3 3.14 32 8 4 3 3.14 33 4 3 3.14 27 3.14 9 8 1 3 24 8 4 6 = 24 w A = 8 cm 7cm (h) 4 cm 12 cm Since the bases are triangles, the area of each triangle is Volume of Cylinders Volume of Prisms Volume of Cones Volume of Spheres Volume of Pyramids (b) © Copyright NewPath Learning. All Rights Reserved. 93-4705 www.newpathlearning.com Finding Volume
\|xiBAHBDy01668nzW 8 cm (d) (h) (r) 9 cm 5 cm 14 12 diameter (d) = radius (r) = radius (r) = r = 8 cm 3 cm 4 cm 6 cm Since the bases are triangles, the area of each triangle is Area of rectangular base 3 cm Volume of Cylinders Volume of Prisms Volume of Cones Volume of Spheres Volume of Pyramids (h) (r) (h) 8 cm V = x w x h V = r 2 h V = V = V = V = V = Base Area Length (A) b•h, or = 1 2 1 2 3.14 V 452.16 cm3 3.14 16 9 V 3.14 4 2 9 V V = r 3 4 3 V = r 2 h 1 3 V = B h V = 64 cm3 V = (B) = B = 1 3 V 75.36 cm3 V V V V V 1 3 1 3 3.14 4 3 3.14 33 4 3 3.14 27 3.14 1 3 = w A = Key Vocabulary Terms cone cylinder diameter Pi ( π) prism pyramid radius rectangular prism sphere triangle volume © Copyright NewPath Learning. All Rights Reserved. 93-4705 www.newpathlearning.com Finding Volume 5 cm 3 cm 3 cm Rectangular Prism (h) ( ) (w) Prism (b) ( ) 7cm (h) 4 cm 12 cm (b) ( )