42,43,45.

Mathematics
Tutor: None Selected Time limit: 1 Day

May 20th, 2015

42.)  Solid is a rectangular prism.  (Or rather a box)

              Length:    L = 12.5 in             Width:   W = 3 in           Height:  h = 12.5 in

             Volume of a rectangular prism (box):        V = L*W*h

                                                                                 V = (12.5)*(3)*(12.5)           <Substitute variables and evaluate>

                                                                                 V = 468.75

          Keep in mind that the units for your volume should include the "cubic" or ^3 part.

          SOLUTION:  Volume is 468.75  in^3


43.)  Solid is a triangular base prism.

             Length:  L = 40 cm              Base:   b = 20 cm                 Height of Base:   h = 5 cm

             Volume of a triangular prism:          V = (1/2)*b*h*L

                                                                      V = 0.5*b*h*L                <1/2 is the same as 0.5>

                                                                      V = 0.5*(20)*(5)*(40)

                                                                      V = 2000

           SOLUTION:  Volume is 2000 cm^3


45.)    Solid is a cone

              Radius:   r = 3 in.                Height:   h = 4 in.

              Volume of a cone:              V = (1/3)*pi* r^2 * h

                                                         V = (0.333333)*(3.14)*r^2  * h      <1/3 = 0.33333...   pi = 3.14>

                                                         V = (0.333333)* (3.14)* (3^2)  *  (4)

                                                        V = (0.333333) * (3.14) *(9) * (4)                <Square the radius first>

                                                         V = 37.7

         SOLUTION:   Volume is about 37.7 in^3

May 20th, 2015

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