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.

The cross-section of a canal is a trapezium in shape.If the canal is 10 m wide at the top 6 m wide at the bottom,and the area of the cross-section is 72 $m^{2}$ ,determine its depth.

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The crossection of a canal is a trapezium. The breadths of the top and bottom of the canal are 8mand6m respectively. If the earth of volume 112×104m3 is taken out to build the canal of 50 km long, then the depth of the canal will be

The correct option is A 3.2mLet the depth of the canal be x metre.∵12x(8+6)×50000=1120000⇒7x×50000=1120000∴x=11200007×50000=3.2m

The crossection of a canal is a trapezium. The breadths of the top and bottom of the canal are $8 m a n d 6 m$ respectively. If the earth of volume $112 \times 10^{4} m^{3}$ is taken out to build the canal of $50$ km long, then the depth of the canal will be

The correct option is A $3.2 m$
Let the depth of the canal be x metre.
$∵ \frac{1}{2} x (8 + 6) \times 50000 = 1120000$
$\Rightarrow 7 x \times 50000 = 1120000$
$∴ x = \frac{1120000}{7 \times 50000}$
$= 3.2$ m