A rectangular tank measuring 5m X 4.5m X 2.1m is dug in the centre of

1.	A rectangular tank measuring 5m X 4.5m X 2.1m is dug in the centre of the field measuring 13.5m by 2.5m. The earth dug out is evenly spread over the remaining portion of the field. How m
Answer» $\blue{Question}$ A rectangular TANK measuring 5M X 4.5m X 2.1m is dug in the CENTRE of the field measuring 13.5m by 2.5m. The EARTH dug out is evenly spread over the remaining PORTION of the field. How much land is raised? $\huge\purple{\underline{\underline{\pink{Ans}\red{wer:-}}}}$ $\sf{Field \ is \ raises \ by \ 4.2 \ m}$ $\sf\orange{Given:}$ $\sf{For \ rectangular \ tank,}$ $\sf{\implies{Length (l)=5 \ m}}$ $\sf{\implies{Breadth (b)=4.5 \ m}}$ $\sf{\implies{Height (h)=2.1 \ m}}$ $\sf{For \ rectangular \ field,}$ $\sf{\implies{Length (l)=13.5 \ m}}$ $\sf{\implies{Breadth (b)=2.5 \ m}}$ $\sf\pink{To \ find:}$ $\sf{Land \ raised.}$ $\sf\green{\underline{\underline{Solution:}}}$ $\sf{Volume \ of \ cuboid=lbh}$ $\sf{...formula}$ $\sf{\therefore{Volume \ of \ tank=5\times4.5\times2.1}}$ $\sf{\therefore{Volume \ of \ tank=47.25 \ m^{3}}}$ $\sf{\therefore{Earth \ dug \ out=47.25 \ m^{3}}}$ ______________________________________ $\sf{Area \ of \ rectangle=lb}$ $\sf{... formula}$ $\sf{\therefore{Area \ of \ field=13.5\times2.5}}$ $\sf{\therefore{Area \ of \ field=33.75 \ m^{2}}}$ $\sf{Area \ of \ tank=5\times4.5}$ $\sf{Area \ of \ tank=22.5 \ m^{2}}$ $\sf{Area \ of \ field \ without \ tank}$ $\sf{=33.75-22.5}$ $\sf{=11.25 \ m^{2}}$ ____________________________________ $\sf{Volume \ of \ field \ after \ spread \ of \ earth}$ $\sf{becomes \ 47.25 \ m^{2}}$ $\sf{Volume \ of \ cuboid=lbh}$ $\sf{47.25=11.25\times \ h}$ $\sf{\therefore{h=\frac{47.25}{11.25}}}$ $\sf{\therefore{h=4.2 \ m}}$ $\sf\purple{\tt{\therefore{Field \ is \ raises \ by \ 4.2 \ m}}}$

A rectangular tank measuring 5m X 4.5m X 2.1m is dug in the centre of the field measuring 13.5m by 2.5m. The earth dug out is evenly spread over the remaining portion of the field. How m

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$\blue{Question}$

A rectangular TANK measuring 5M X 4.5m X 2.1m is dug in the CENTRE of the field measuring 13.5m by 2.5m. The EARTH dug out is evenly spread over the remaining PORTION of the field. How much land is raised?

$\huge\purple{\underline{\underline{\pink{Ans}\red{wer:-}}}}$