Question

The length of a pond is 1700 cm ,breadth is 14cm, and height is 1000 cm. if the pond is half filled calculate the volume of water in the pond .​

Answer 1

Answer:

A bus covers a distance of 433/3 km in 11/4 hours. How much distance will it cover in 1 hour?

Answer 2

Answer:

If the pond is half filled, the volume of water in the pond will be 1,19,00,000 cm³ (11.9 m³).

Explanation:

${\underline{\underline{\bf{Given:}}}}$

• Dimensions of a pond: Length = 1700 cm, Breadth = 14 cm and Height = 1000 cm.

${\underline{\underline{\bf{To\:find:}}}}$

• The volume of water in the pond if it's half filled.

${\underline{\underline{\bf{Formula\:to\:be\:used:}}}}$

$\underline{\boxed{\sf{{Volume}_{(Cuboid)}=lbh\:cu.units}}}$

${\underline{\underline{\bf{Solution:}}}}$

‎ ‎ ‎ ‎ ‎ ‎ ‎As per the given parameters, we can say that the shape of the pond is cuboid. The half-volume of the cuboid has to be found. So, we can find it by multiplying 1/2 with the total volume of the pond. Let's calculate the answer!

$\:$

Volume of the pond:

‎ ‎ ‎ ‎ ‎ ‎ ‎It equals the volume of cuboid. Hence, by inserting the given measures in the formula:

$\leadsto{\bf{\purple{lbh\:cu.units}}}$

$\:$

$\:\:\:\:\:\::\implies{\sf{1700\times 14\times 1000}}$

$\\\:\:\:\:\:\:\:\:\::\implies{\sf{23800\times 1000}}$

$\\\:\:\:\:\:\:\:\:\:\:\:\:\::\implies\underline{\bf{2,38,00,000\:cm^3}}$

$\:$

The total volume of the pond is 2,38,00,000 cm³. It's half volume is:

$\:$

$\:\:\:\:\:\:\:\rightarrowtail{\sf{\dfrac{1}{2}\times 2,38,00,000}}$

$\\\:\:\:\:\:\:\:\:\:\:\:\rightarrowtail{\sf{\dfrac{\cancel{2,38,00,000}}{\cancel{2}}}}$

$\\\:\:\:\:\:\:\:\:\:\:\:\:\:\:\rightarrowtail{\boxed{\frak{\red{1,19,00,000\:cm^3=11.9\:m^3}}}}$

$\\\therefore{\underline{\sf{1,19,00,000\:cm^3\:or\:11.9\:m^3\:of\:water\:can\:be\:filled\:if\:the\:pond\:is\:half\:filled.}}}$

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