A rectangle tank of dimensions 24m by 12m by 8m is dug inside a rectangular field 600m long and 200m broad. The earth taken out is evenly spread over the field. By how much will the level of the field rise?
Answers
Answer:
he filed will rise up to a level of 1.92 cm.
Step-by-step explanation:
Length of the rectangular field = 600 m
Breadth of the rectangular filed = 200 m
∴ The area of the rectangular field = Length x Breadth = 600 * 200 = 120000 mFor the rectangular tank:
Length = 24 m
Breadth = 12 m
Height = 8 m
∴ The area of the base of the tank = l * b = 24 * 12 = 288 m²
∴ The area of the rectangular field excluding the tank is given by,
= [The area of the rectangular field] – [The area of the base of the tank]
= 120000 – 288
= 11Now, it is given that the amount of earth taken was used to level the rectangular field, so
Therefore, we can write
24*12*8 = 119712 * [Rise in level of field]
⇒ 2304 = 119712 * [Rise in level of field]9712 m²²