2SpheresA sphere is a shape where the distance from the center to the edge is the same in all directions. This distance is called the radius ( r ).
3Cylinders A cylinder is a prism with a circular base of radius (r). The height (h) is the distance from the bottom base to the top of the cylinder.
4ConesA cone is a pyramid with a circular base of radius (r) and the side length (s) is the length of the side.The height (h) is the distance from the center of the base to the top of the cone.
5PyramidsA pyramid is a solid figure with a polygonal base and triangular faces that meet at a common point over the center of the base. The height (h) is the distance from the base to the apex or top of the pyramid. The side length (s) is the height of the face triangles. The area (A) of the base (b)is calculated according to the shape of the base.
6Rectangular PrismsA rectangular prism can be described as a stack of rectangles. The height (h) is the height of the prism, the width (w) is the width of the base, and the length (l) is the length of the base.
7Triangular PrismA prism can be described as a stack of shapes. The figure shows a prism of triangles stacked d thick, but any shape could be used. For a triangluar prism, the height (h) is the height of the base, the base (b) is the width of the base, and the length (l) is the length of the prism.A = bh + 3bl
8Application IA standard 20-gallon aquarium tank is a rectangular prism that holds approximately cubic inches of water. The bottom glass needs to be 24 inches by 12 inches to fit on the stand.
9Application I Find the height of the aquarium to the nearest inch. V = l x w x h4600 = (24) x (12) x h4600 = 288 x h16.0 inches = hV = 4600 cubic inches12 inches24 inches
10Application IFind the total amount of glass needed in square inches for the six faces.12 inches16 inches12 inches24 inches24 inchesTSA = 2(24)(12) + 2(12)(16) + 2(24)(16)TSA =TSA = 1728 in2
11Application IIDoes the can or the box have a greater surface area? a greater volume?CylinderSquare Prism5 cm9 cm9 cm6 cm5 cm
12Application IISurface Area of can9 cm6 cm9 cm6 cm
13Application IISurface Area of box5 cm9 cm5 cm5 cm9 cm5 cm
14Application IISince 230cm2 > 288.2cm2, the box has a greater surface area.Which container holds more juice?