1. Identify the shape: The figure is a trapezoidal prism.
2. Recall the volume formula for a prism: V = Base Area × Height.
3. The base is a trapezoid with parallel sides b₁ = 8 m and b₂ = 3 m, and height h = 4 m.
4. Calculate the area of the trapezoidal base: A = (1/2) × (b₁ + b₂) × h = (1/2) × (8 + 3) × 4 = (1/2) × 11 × 4 = 22 m².
5. The height (length) of the prism is given as 5 m.
6. Compute the volume: V = Base Area × Height = 22 m² × 5 m = 110 m³.
7. The value x = 4.3 m is not needed to compute the volume; it may be a distractor or relate to another part of the problem not required here.
8. Final answer: Volume = 110 cubic meters.
Parent Tip: Review the logic above to help your child master the concept of volume of cylinders and prisms worksheet.
