Question

Figure shows a solid of uniform cross-section which is trapezium in shape. If length of the solid is 1 m, find its volume.

Answer 1

Given:

Cross-section is a trapezium with parallel sides a = 23 m and b = 17 m, height h = 10 m.

Length (depth) of the solid = 1 m.

Step-wise calculation:

1. Area of trapezium

= `1/2 xx (a + b) xx h`

= `1/2 xx (23 + 17) xx 10`

2. Compute area

= `1/2 xx 40 xx 10`

= 200 m²

3. Volume

= (Area of cross-section) × (Length) 

= 200 × 1

= 200 m³

Volume of the solid = 200 m³.