Find the length of the diagonal BD when, the area of the quadril

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Water is pouring into a cuboidal reservoir at the rate of 60 litres per minute. If the volume of reservoir is 108 m³, find the number of hours it will take to fill the reservoir.

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(i) 1 cm³ = 1 cm x 1 cm x 1 cm = ....mm³
(ii) 1 m³ = 1 m x 1 m x 1 m = ......cm³

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Short Answer Type

79. Find the area of the following trapezium.

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80. Find the length of the diagonal BD when, the area of the quadrilateral is 32 cm².

Let the length of the diagonal BD = x cm
Area of the quadrilateral ABCD = 32 cm²
∵ Area of the quadrilateral = $1 half$ x (A diagonal) x (Sum of the length of the perpendicular on the diagonal from the opposite vertices)
∴ Area of the quadrilateral ABCD = $1 half cross times BD cross times left parenthesis AP plus CQ right parenthesis$
= $1 half cross times space straight x space cm cross times space left parenthesis 4.5 space cm space plus space 3.5 space cm right parenthesis$

=

1 half cross times straight x cross times 8 space cm squared

Since area of the quadrilateral ABCD = 32 cm²
∴

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rightwards double arrow

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= 8 cm
Thus, the required length of the diagonal BD = 8 cm.

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