Question

Capacity of a tank is 120kL. If the length and width of the tank are respectively 6m and 5m. find its depth

Answer 1

Answer: 4 m

Step-by-step explanation:

1 kl = 1000l = 1m3

So 120kl = 120m3

Depth = volume/ l x b

= 120 m3 /6 *5

= 4 m

Answer 2

Its depth is 4 m.

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Let's understand a few concepts:

To calculate the depth of the given tank we will use the following formula:

$\boxed{\bold{Volume\:of\:cuboid = length \times breadth\times height}}$

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Let's solve the given problem:

The length of the tank = 6 m

The width of the tank = 5 m

Let "d" m be the depth of the tank.

Here we know that,

$\boxed{\bold{1\:kL = 1\:m^3}}$

∴ 120 kL = 120 m³

The capacity of the tank i.e., Volume of the cuboidal tank = 120 m³

Therefore, by using the above formula, we get

$Volume \:of\: the\: cuboidal\: tank = length\times width \times depth$

$\implies 120\: m^3 = 6\:m \times 5\:m\times d\:m$

$\implies 120\: m^3 = (6 \times 5\times d)\:m^3$

$\implies 120\: m^3 = (30\times d)\:m^3$

$\implies 120 = 30\times d$

$\implies d = \frac{120}{30}$

$\implies \bold{d = 4\:m}$

Thus, the depth of the tank is 4 m.

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