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§ 7.8

§ 7.8. Volume. 1 in. 1 in. 1 in. The volume of a rectangular solid (box) is the length times the width times the height. V = lwh. h. w. l. Volume of Rectangular Solids. Volume is the measure of space inside a three-dimensional geometric figure.

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§ 7.8

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  1. § 7.8 Volume

  2. 1 in. 1 in. 1 in. The volume of a rectangular solid (box) is the length times the width times the height. V = lwh h w l Volume of Rectangular Solids Volume is the measure of space inside a three-dimensional geometric figure. This box measures 1 cubic inch (1 in.3)

  3. h = 13 cm w = 10 cm l = 6 cm Volume of Rectangular Solids Example: Find the volume of a box with a width of 10 cm, length 6 cm, and height 13 cm. V = lwh = (6 cm)(10 cm)(13 cm) = (60)(13) cm3 The volume is 780 cm3. = 780 cm3

  4. The volume of a cylinder is the area of its circular base, r2 times the height, h. V = r2h r h Volume of a Cylinder Cylinder

  5. r = 6 in. h = 14 in. Volume of a Cylinder Example: Find the volume of a cylinder with a radius of 6 in. and height 14 in. V =  r2h = (3.14)(6 in.)2(14 in.) = (3.14)(36 in.2)(14 in.) = (113.04 in.2)(14 in.) The volume is 1582.6 in3. = (1582.56 in.3) (Rounded to the nearest tenth)

  6. The volume of a sphere is 4 times  times the radius cubed, divided by 3. r Volume of a Sphere Sphere

  7. r = 24 ft Volume of a Sphere Example: Find the volume of the sphere whose radius is 24 feet. The volume is 57876.5 ft3. (Rounded to the nearest tenth)

  8. The volume of a cone is  times the radius of the base squared times the height, divided by 3. h r Volume of a Cone Cone

  9. h = 8.5 mm r = 3.5 mm Volume of a Cone Example: Find the volume of a cone whose radius is 3.5 mm and height is 8.5 mm. The volume is 109.0 mm3. (Rounded to the nearest tenth)

  10. The volume of a pyramid is obtained by multiplying the area of the base of the pyramid by the height of the pyramid and dividing by 3. h Volume of a Pyramid Pyramid

  11. h = 5 yd l = 6 yd w = 12 yd Volume of a Pyramid Example: Find the volume of the pyramid with height of 5 yd and a rectangular base measuring 6 yd by 12 yd. The volume is 120 yd3.

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