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Volume is the amount of space inside a 3-D figure Volume is the amount of space inside a 3-D figure. It is measured in cubic units. 3units 3units 3units Unit cube The volume of this larger cube can be found by determining how many unit cubes will fit inside the larger cube. 1unit

We can begin by stacking the unit cubes in the bottom of the prism 3units This prism holds 9 cubic units in the bottom layer. 3units 3units Unit cube 1unit

We can begin by stacking the unit cubes in the bottom of the prism 3units This prism holds 9 cubic units in the bottom layer. We can continue to stack these layers until the prism is full. 3units 3units Unit cube 1unit

We can begin by stacking the unit cubes in the bottom of the prism 3units This prism holds 9 cubic units in the bottom layer. 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 Unit cube 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

Find the volume of this rectangular prism

Find the volume of this rectangular prism Since this is a rectangular prism we can use V = lwh we have: V = (5)(4)(7) V = 140 in3 7 in 4 in 5 in

Find the volume of this rectangular prism Since this is a rectangular prism we can use V = lwh we have: V = (5)(4)(7) V = 140 in3 7 in Another way to think about this … V = Area of the base shape × height. V = (20 in2)(7in) V = 140 in3 4 in 5 in

Find the volume of this triangular prism. 5 cm 4 cm 9 cm 3 cm

Find the volume of this triangular prism. Since this is a triangular prism we can use the idea that the Volume is half of a rectangular prism. V = ½(lwh) = (½)(3)(4)(9) = (½)(12)(9) = (½)(108) = 54 cm3 5 cm 4 cm 9 cm 3 cm

Find the volume of this triangular prism. OR we can find the volume of the triangular prism using this formula … V = Area of the base shape × height. Since the base shape is a triangle, V = Area of triangle × height V = 6 cm2 × 9 cm = 54 cm3 5 cm 4 cm 9 cm 3 cm

How many boxes can fit into the moving truck? Sample Problem How many boxes can fit into the moving truck?