The shape of the cross section of a canal is a trapezium. If the canal is 10 m wide at the top 6 m wide at the bottom and the area of its cross section is 640 m², find the depth of the canal.

Question

The shape of the cross section of a canal is a trapezium. If the canal is 10 m wide at the top 6 m wide at the bottom and the area of its cross section is 640 m 2 , find the depth of the canal.

Philoid · Accepted Answer

Given:

Top width = 10 m

Bottom width = 6 m

Area of cross section = 640 m²

Let the depth be h

Now,

Area of trapezium = 1/2 × Sum of parallel sides × Distance between them

⇒ 640 = 1/2 × (10 + 6) × h

⇒ 640 × 2 = 16 h

⇒ h = 80 m

The shape of the cross section of a canal is a trapezium. If the canal is 10 m wide at the top 6 m wide at the bottom and the area of its cross section is 640 m2, find the depth of the canal.

The shape of the cross section of a canal is a trapezium. If the canal is 10 m wide at the top 6 m wide at the bottom and the area of its cross section is 640 m², find the depth of the canal.