SOLID GEOMETRIC FIGURESGeometryExample:Calculate the volume and surface area of a rectangular solid with a= 3", b = 4", andc= 5". Be sure to include units in your answer.Solution:V = (a)(b)(c)SA = 2(ab+ ac+ bc)V = (3)(4)(5) SA = 2[(3)(4) + (3)(5) + (4)(5)]V = (12)(5) SA = 2[12 + 15 + 20]V = 60 cubic inches SA = 2[47]SA = 94 square inches CubeFigure 15 CubeA cube is a six-sided solid figure whose faces are congruentsquares, as shown in Figure 15.The volume of a cube is calculated using the followingformula:V = a^{3}(3-13)The surface area of a cube is calculated using the followingformula:SA = 6a^{2}(3-14)The surface area of a cube is expressed in square units, and the volume of a cube is expressedin cubic units.Example:Calculate the volume and surface area of a cube with a = 3". Be sure to include unitsin your answer.Solution:V = a^{3}SA = 6a^{2}V = (3)(3)(3) SA = 6(3)(3)V = 27 cubic inches SA = 6(9)SA = 54 square inches SphereA sphere is a solid, all points of which are equidistant from a fixed point, the center, as shown inFigure 16.MA-03 Page 14Rev. 0

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