Take out your notebook and a pencil Take out your notebook and a pencil. Complete the following two problems in your notebook. Calculate the area of the rectangle, triangle and square shown below. 8 10 5 7 6 Good morning Thursday 3/9/17

Objective Date: 3/9/17 Title: Objective: Volume of Cylinders and Prisms Objective: Calculate the volume of cylinders and prisms

Quiz on Tuesday (March 14th) List of Formulas Quiz on Tuesday (March 14th) A = ½∙b∙h Area of a triangle A = b∙h Area of a parallelogram A = π∙r² Area of a circle

Volume

Volume The volume of a solid is the amount of space it occupies. Volume is measured in cubic units. Ex: cubic feet or ft3 Why is it measured in cubic units? The volume of a prism is the product of the area of the base (B) and the height. V = areabase x height Area: The size of a surface.

Volume of Rectangular Prisms Formula: V = Bh V = lwh Example: V = Bh V = lwh V = (3)(4)(6) V = (12)(6) V = 72 in3 6 in 4 in 3 in

Volume of Rectangular Prisms 3 in 2 in 5 in 10 cm V = Bh V = lwh V = (5)(2)(3) V = (10)(3) V = 30 in3 V = Bh V = lwh V = (10)(10)(10) V = (100)(10) V = 1000 cm3

Volume of Triangular Prisms

Volume of Triangular Prisms Formula: V = Bh V = (½bh)h 5 cm 2 cm 7 cm Example: V = Bh V = (½bh)h V = ½(2)(5)(7) V = (5)(7) V = 35 cm3

Volume of Triangular Prisms 12 in. 14 in. 15 in. V = Bh V = ½bhh V = ½(14)(12)(15) V = (7)(12)(15) V = 1260 in3 V = Bh V = ½bhh V = ½(8)(6)(14) V = (4)(6)(14) V = 336 m3

Volume of Cylinders

Volume of Cylinders Formula: V = Bh V = πr2h Example: V = Bh V = πr2h V ≈ 254.34 m3

Volume of Cylinders V = Bh V = πr2h V = π(6)2(3) V = π(36)(3) 3 cm 6 cm 10 cm 8 cm V = Bh V = πr2h V = π(6)2(3) V = π(36)(3) V ≈ 339.292 cm3 V = Bh V = πr2h V = π(4)2(10) V = π(16)(10) V = 160π V ≈ 502.4 cm3