Question

28. A field is 78 m long and 27 m broad. A rectangular shaped pit of length 13 m and breadth 12 mis
dug inside the field and the mud taken out is spread evenly over the remaining part of the field
to a thickness of 25 cm. Find the depth of the pit.​

Answer 1

Answer:

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Step-by-step explanation:

3.125 metres

Step-by-step explanation:

This question is testing on finding the area of solids

The area of a rectangle is l × w

Where l is the length and w is the width

We have been told that a pit 13 centimeters long and 12centimetres wide was dug meaning we are supposed to find the area of the remaining part which was not dug

To find the remaining piece which was not dug we find the area of the bigger rectangle minus the area of the smaller rectangle

(78 m × 27 m) - (13m × 12m)

2106 m - 156 m = 1950 metres

We have been told also that soil from the pit was spread up to a layer of 25 centimeters

We can there find the total amount of soil from the pit.

This soil was spread on the remaining area of the plot

To find the total amount of soil we take the area of the remaining plot multiply by the layer of soil

We first change the height into metres

25 cm ÷ 100 = 0.25 m

1950 × 0.25 = 487.5 m³

This area that we have found is the same as the area of the pit

To find the height of the pit ,we divide it by the area of the rectangle forming the mouth of the pit.

487.5 ÷ 156 = 3.125 metres