Question

Find the Volume of the following shape.

Answer 1

The trapezoidal prism's volume is
`312m^(2)`

Explanation:

Step 1: Recognize the shape is a trapezoidal prism

Constructed from:

Trapezoids

Step 2: Solve the area of the shape

Area of Trapezoid =
`((a+b)/(2) h) =( (5+8)/(2) 4.8)=((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`