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29 votes
29 votes
The figure on the left is a trapezoidal prism. The figure on the right represents its base. Find the volume of this prism. 13 ft 10 ft 10 ft 2 ft 13 ft 12 ft 13 ft 20 ft 13 ft 5 ft 10 ft 5 ft The area of the trapezoidal base is 8 ft2, the height is ft. Therefore, the volume is IN

User Justin Meiners
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1 Answer

20 votes
20 votes

volume of the trapezoidal prism is


V=A_b* h

then, area of the trapezoidal base


\begin{gathered} A_b=(1)/(2)(b1+b2)h \\ A_b=(1)/(2)(10+20)*12 \\ A_b=(1)/(2)(30)*12 \\ A_b=(360)/(2)=180 \end{gathered}

area of the trapezoidal base = 180 ft^2

height = 2ft

so, the volume is:


\begin{gathered} V=180*2 \\ V=360 \end{gathered}

volume = 360 ft^3

User Soyol
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