The volume of a trapezoid prism = 483 cm³
Step-by-step explanation:
The shape is trapezoid prism
The volume of a trapezoid prism = Area of the trapezoid × height between the tapezoids
Area of the trapezoid = 1/2 (a + b) × height of the trapezoid
a = base 1 = 10cm
b = base 2 = 13 cm
height of the trapezoid = 7cm
Area of the trapezoid = 1/2(10 + 13) × 7 = 1/2(23)× 7
Area of the trapezoid = 80.5 cm²
height between the tapezoids = 6cm
The volume of a trapezoid prism = 80.5 cm² × 6cm
The volume of a trapezoid prism = 483 cm³