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Carnegie Learning Math Series, Cou... (9781609725853) > Chapter 14: Introduction To The Thir
14.4 Problem 2 Answer to Exercise 6
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The surface area of the cube was calculated by adding all of the areas of all of the faces of the cube. The same process is also used to determine the surface areas of prisms.
Similar to the cube, the area of a base of a rectangular prism can be calculated using the area formula, B-lxw, where B is the area of the base, I is the length of the
rectangular base, and w is the width of the rectangular base.
However, many of the prisms in this lesson do not have rectangular bases. The base of a prism can be a variety of polygons. If the base of the prism is a pentagon, a hexagon,
an octagon, or any polygon different from a rectangle, you need to use a strategy to determine the area of the base.
One base of a regular pentagonal prism is shown. Recall that when a polygon is regular, that means all of the sides of the polygon are equal in length and all of the angles of the
polygon are equal in measure.
One base of a regular hexagonal prism is shown.
6. Use the same strategy you used in Question 1 to divide the hexagon into new polygons.
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