Question

a tank 2metre long and 1metre wide is to
contain 1000 litre how high must be the tank​

Answer 1

Answer:

Step-by-step explanation:

As the tank is cuboidal

The given dimensions are:

Length (l) = 2.5m

Breadth (b) = 1m

Height (h) = to be calculated

We know that,

1m^3 = 1000L (volume of a cuboid)

=> 10m^3 = 10000L

Volume of tank = L x b x h

=> 10 m^3 = 2.5 x 1 x h m^2

=> 10 m^3 = 2.5(h) m^2

=> h = 10 m^3

————

2.5 m^2.

=> h = 100 m

————

25

=> h = 4 m

Therefore, the tank is 4m high.

Note :

2.5 becomes 25 by sending a 10 up in the numerator as it has inly one decimal point. So 10 becomes 100.

Also m^2 and m^3 get cancelled and m is left.

Hope this helps :)

Answer 2

${\huge{\pmb{\underline{\red{\rm{Question}}}}}}$

a tank 2metre long and 1metre wide is to

contain 1000 litre how high must be the tank

${\huge{\underline{\green{\bf{Required\:Answer}}}}}$

0.5 m

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

${\large{\underline{\underline{\orange{\sf{Given}}}}}}$

• l=2m
• b=1m
• to contain=1000 litres

Here

• l=length
• b=breadth(wide)

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

${\large{\underline{\underline{\sf{To\:Find}}}}}$

• Height of tank=?

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

${\large{\underline{\underline{\tt{Formula\:Using}}}}}$

${\large{\underline{\boxed{\red{\sf{v_{(cuboid)}=lbh}}}}}}$

Here

• v=volume of cylinder
• l=length
• b=breadth(wide)

Note-   ${\sf{1m^3=1000 litres}}$

${\sf{Let\:the\:height=h}}$

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

$\begin{gathered} \\ \qquad{\rule{150pt}{1pt}} \end{gathered}$

${\qquad{\qquad{\qquad{\Large{\underline{\underline{\blue{\bf{Solution}}}}}}}}}$

${\qquad{\qquad{\dashrightarrow{\sf{v_{(cuboid)}=lbh}}}}}$

${\qquad{\qquad{\dashrightarrow{\sf{1m^3=2 \times 1 \times h}}}}}$

${\qquad{\qquad{\dashrightarrow{\sf{1m^3=2 \times h}}}}}$

${\qquad{\qquad{\dashrightarrow{\sf{h=\dfrac{1}{2}}}}}}$

${\qquad{\qquad{\pink{\dashrightarrow{\sf{h=0.5m}}}}}}$

$\begin{gathered} \\ \qquad{\rule{150pt}{1pt}} \end{gathered}$

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

~Therefore

The height of the tank is 0.5m.

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

${\qquad{\qquad{\qquad{\qquad{\qquad{\qquad{\scriptsize{\sf{@BrainlyResearcher}}}}}}}}}$