Note Since all sides of a cube are the same length, we can also label the length of each side as s and write the formula for its volume like this: Volume s s s or V s3 s s s 2 Find the Volume of a Rectangular Pyramid A rectangular pyramid is a pyramid with a rectangular (or square) base. length height width Rectangular pyramid The volume of a rectangular pyramid equals one-third of the area of the base times the height of the pyramid. Formula Volume of a Rectangular Pyramid The volume, V, of a rectangular pyramid with height h, and a base of length l and width w is Volume 1 3 length width height or V 1 3 lwh length, l height, h width, w Because lw equals the area of the base, we can also think of the volume formula as V 1 3 Ah, where A lw, the area of the base of the pyramid. 8 yd 12 yd 6 yd 1 2 Find the volume of the pyramid with the given dimensions. Solution Identify the values. l 8 yd w 6 1 2 yd h 12 yd Use the formula. V 1 3 lwh V 1 3 (8 yd)a6 1 2 ydb(12 yd) Substitute the values. Write the numbers as fractions. Multiply and simplify. V 1 3 a 8 1 ydb a 13 2 ydb a 12 1 ydb V 208 yd3 EXAMPLE 2 www.mhhe.com/messersmith SECTION 4.4 Volume and Surface Area 321
messersmith_power_prealgebra_1e_ch4_7_10
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