An open irrigation channel is 30 m long. Its cross-section is a trapezium 2 m wide across the top, 1.2 m wide across the bottom and 0.8 m deep. Find the volume of water it holds when filled level to the top, in m³.

Question

Accepted Answer

38.4. Cross-section area = ½ × (2 + 1.2) × 0.8 = ½ × 3.2 × 0.8 = 1.28 m². Volume = 1.28 × 30 = 38.4 m³. (Dropping the ½ would wrongly give 76.8 m³.)

An open irrigation channel is 30 $m$ long. Its cross-section is a trapezium 2 $m$ wide across the top, 1.2 $m$ wide across the bottom and 0.8 $m$ deep. Find the volume of water it holds when filled level to the top, in $m^{3}$ .

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More Areas & Volumes practice

An open irrigation channel is 30 m long. Its cross-section is a trapezium 2 m wide across the top, 1.2 m wide across the bottom and 0.8 m deep. Find the volume of water it holds when filled level to the top, in m3.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Areas & Volumes practice

An open irrigation channel is 30 $m$ long. Its cross-section is a trapezium 2 $m$ wide across the top, 1.2 $m$ wide across the bottom and 0.8 $m$ deep. Find the volume of water it holds when filled level to the top, in $m^{3}$ .