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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

Sagot :

volume of the trapezoidal prism is

[tex]V=A_b\times h[/tex]

then, area of the trapezoidal base

[tex]\begin{gathered} A_b=\frac{1}{2}(b1+b2)h \\ A_b=\frac{1}{2}(10+20)\times12 \\ A_b=\frac{1}{2}(30)\times12 \\ A_b=\frac{360}{2}=180 \end{gathered}[/tex]

area of the trapezoidal base = 180 ft^2

height = 2ft

so, the volume is:

[tex]\begin{gathered} V=180\times2 \\ V=360 \end{gathered}[/tex]

volume = 360 ft^3

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