1 / 11

§ 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.

Download Presentation

§ 7.8

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  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.

More Related