1) Defining Volume 2) Volume = lwh 3) Volume = Bh

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Presentation transcript:

1) Defining Volume 2) Volume = lwh 3) Volume = Bh Volume of Prisms 1) Defining Volume 2) Volume = lwh 3) Volume = Bh

Volume is the space that a figure occupies Volume is the space that a figure occupies. It is measured in cubic units. We can begin by stacking the cubic units in the bottom of the prism 3units This prism holds 9 cubic units in the bottom layer. The volume of the given cube can be found by determining how many cubic units will fit inside the cube. We can continue to stack these layers until the prism is full. 3units 3units This prism holds 3 layers of 9 cubic units for a total of 27 cubic units 1 cubic unit 1unit V = 27 cubic units

This formula works very well for rectangular prisms 3units Another way to find the volume of the prism is to use the formula V = lwh where V is volume, l is length, w is width, and h is height h w l V = lwh V = (3)(3)(3) V = 27 cubic units This formula works very well for rectangular prisms

This formula works very well for non-rectangular prisms 3units Another way to find the volume of the prism is to use the formula V = Bh where V is volume, B is the base area, and h is height h w l V = Bh V = (9)(3) V = 27 cubic units Base Area B = lw B = (3)(3) B = 9 square units This formula works very well for non-rectangular prisms

Find the volume of this rectangular prism OR Since this is a rectangular prism we can use V = lwh we have: V = (5)(4)(7) V = 140 in3 We could use V = Bh The base is a rectangle B = lw B = (5)(4) B = 20 in2 now we use V = Bh V = (20)(7) V = 140 in3 7 in 4 in 5 in In this case it’s much easier to use V = lwh

Find the volume of this triangular prism Since this is a triangular prism we must use V = Bh since the base is a triangle we must find the area of the triangle first using: B = (1/2)bh (where b & h are perpendicular) B = (1/2)(3)(4) B = (1/2)(12) B = 6 cm2 BASE AREA B = 6 cm2 5 cm Now we use V = Bh where h is the distance between the bases. V = (6 cm2)(9 cm) V = 54 cm3 4 cm 9 cm 3 cm

Volume of a CYLINDER! Base Area Radius Volume Base Area Height h

Finding the Volume of a Cylinder Find the volume of a cylinder with height 10 cm and radius 5cm. 5 cm 10 cm

Find the volume of the cylinder.