Find the Volume of the following shape.
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Answer:
The trapezoidal prism's volume is [tex]312m^{2}[/tex]
Step-by-step explanation:
Step 1: Recognize the shape is a trapezoidal prism
Constructed from:
Trapezoids
Step 2: Solve the area of the shape
Area of Trapezoid = [tex](\frac{a+b}{2} h) =( \frac{5+8}{2} 4.8)=(\frac{13}{2} 4.8) = 31.2m^{2}[/tex]
Step 3: Multiple the area of the Trapezoid by the width
Area of Trapezoid x 10m = Area of Trapezoidal Prism
[tex](31.2m^{2} )(10m^{2} )= Volume\\312m^{3} =Volume[/tex]