11 2 Volume of Prisms Cylinders Mrs Ballard

11 -2 Volume of Prisms & Cylinders Mrs. Ballard & KL Schofield

Bellwork

Exploring Volume is measured in cubic units, such as cubic meters (m 3).

Formulas • Rectangular Prism: V = LWH • Cylinder: V = πr 2 h L = length W = width H = height 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? • Here’s how to draw a rectangular prism.

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

Ex. 2 Find the volume of the prism. 8 cm 16 cm 25 cm V = LWH V = 25(16)(8) V = 3200 cm 3

Find the height of a prism with a volume of 480 m 3, length of 12 m and width of 4 m. V = LWH h 12 m 480 = 12(4)h 4 m 480 = 48 h 48 10 m = h 48

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

Destiny is building a square sandbox with sides 4 ft long. She wants to put snad 0. 85 ft deep in the box how much sand should she order?

A fish tank is 26 in tall and has a base that is 12 in by 25 in. You want to fill the tank to a depth of 24 in. How much water will it take?

A driveway is 81 ft long, 6 ft wide, and 0. 5 ft 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. 12 ft

Ex. 3: Finding Volumes Find the volume of the right cylinder. πr 2 h V= V = 3. 14(8)(8)(6) V = 1205. 76 in 3 Here’s how to draw a cylinder.

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

Find the volume of the cylinder that has a diameter of 14 ft and height of 15 ft. Use 3. 14 for pi.

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. 2 m 3 m

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

Ex. 5: Using Volumes V = πr 2 h 4561 = 3. 14(x 2)12 4561 = 37. 68 x 2 37. 68 √ 121. 05 =√ x 2 11. 00 = x