Question

Find the Volume of the following shape.

Answer 1

Answer:

The trapezoidal prism's volume is $312m^{2}$

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 = $(\frac{a+b}{2} h) =( \frac{5+8}{2} 4.8)=(\frac{13}{2} 4.8) = 31.2m^{2}$

Step 3: Multiple the area of the Trapezoid by the width

Area of Trapezoid x 10m = Area of Trapezoidal Prism

$(31.2m^{2} )(10m^{2} )= Volume\\312m^{3} =Volume$