Question

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

Answer 1

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