March 2, 2010 Math 102 OBJECTIVE: Students will be able to calculate the volume of prisms and cylinders, using a given formula and a calculator AIM: How is volume different from surface area? STANDARDS: 7.G.2 PRIOR KNOWLEDGE: Find the area of a rectangle with a length of 12 cm and a width of 8 cm

MINILESSON The number of cubes that fit into a solid figure (a three dimensional figure) gives the measure of its volume in cubic units. Examples cubic centimeters cm3 cubic feet ft3 cubic inch in3

V = 5 x 3 x 4 Find the volume of this rectangular prism V = l x w x h

Find the volume of the cylinder below r = 4 cm V = πr2h = (3.14)(16)(20) = 1,004.8 cm3 20 cm

V = l x w x h V = πr2h INDEPENDENT WORK Use the formulas to find the volume of the prism and the cylinder d = 12 in 6 in 18 in 4 in 7 in V = l x w x h V = πr2h

V = l x w x h V = πr2h HOMEWORK Use the formulas to find the volume of the prism and the cylinder (Use a calculator for this homework) (Use 3.14 for π) d = 12 in 8.5 cm 24.4 in 5 cm 9.6 cm V = l x w x h V = πr2h