8-1 Volume of Prisms & Cylinders

Exploring Volume Volume is measured in cubic units, such as cubic meters (m3).

Formulas Rectangular Prism: V = LWH Cylinder: V = πr2h L = length H = height W = width R = radius

Ex. 1: Finding the Volume of a rectangular prism The box shown is 5 units long, 3 units wide, and 4 units high. What is the volume of the box?

Ex. 1: Finding the Volume of a rectangular prism L = 5; W = 3; H = 4 V = LWH V = (5)(3)(4) V = 60 unit3

Ex. 2 Find the volume of the prism. 8 cm 16 cm 25 cm V = LWH V = 25(16)(8) V = 3200 cm3

Find the height of a prism with a volume of 480m3, length of 12m and width of 4m. V = LWH 480 = 12(4)h 480 = 48h 10 m = h h 4 m 12 m 48 48

A rectangular fish tank has a base that is 6in by 4 in A rectangular fish tank has a base that is 6in by 4 in. How much water will it take to fill the tank to a depth of 10 inches?

A driveway is 81 ft long, 6ft wide, and 0. 5ft deep A driveway is 81 ft long, 6ft wide, and 0.5ft deep. How many cubic feet of concrete will be required to lay the driveway?

You try. Find the volume of the prism. 6 cm 15 cm 33 cm

You try. Find the volume of the cube.

Ex. 3: Finding Volumes Find the volume of the right cylinder. V = πr2h Here’s how to draw a cylinder. V = πr2h V = 3.14(8)(8)(6) V = 1205.76 in3

You try. Finding Volumes 2 ft Find the volume of the right cylinder. 5 ft

Find the volume of the cylinder that has a diameter of 14ft and height of 15 ft. Use 3.14 for pi.

The volume of a cylindical can is 201 cubic cm The volume of a cylindical can is 201 cubic cm. If the diameter is 8 inches, find the height. Use 3.14 for pi.

You try. Finding Volumes Find the volume of the right cylinder. 3 m

You try. What is the volume of a cylinder with a diameter of 8 inches and height of 5 inches?

Ex. 5: Using Volumes 4561 = 3.14(x2)12 4561 = 37.68x2 121.05 = x2 V = πr2h 4561 = 3.14(x2)12 4561 = 37.68x2 37.68 37.68 121.05 = x2 11.00 = x √ √