Question

The volume of a rectangular tank is 182 m square. If it's length and breadth be 8m and 6.5m respectively , find its depth

Answer 1

The are of rectangle can be easily calculated through the given information
Thus the area of rectangle * height (depth) = volume of the tank...
therefore height(depth)=3.5 m
Assuming that the tank has thin walls =0m

Answer 2

CORRECT QUESTION:-

The volume of a rectangular tank is 182 m³ If it's length and breadth be 8m and 6.5m respectively , find its depth ?

GIVEN:

• Volume of rectangular tank = 182 m³
• Length of the rectangular tank = 8m
• Breadth of rectangular tank = 6.5 m

TO FIND:

• What is the depth of the rectangular tank ?

SOLUTION:

We have given that, the volume of a rectangular tank is 182 m³. and it's length and breadth be 8m and 6.5m respectively.

To find the Volume of rectangular tank, we use the formula:-

$\large\bf{\star \: Volume = L \times B \times H\: cm^3\: \star}$

According to question:-

On putting the given values in the formula, we get

$\sf{ \mapsto 182 = 8 \times 6.5 \times H}$

$\sf{ \mapsto 182 = 52 \times H}$

$\sf{ \mapsto H = \cancel\dfrac{182}{52}}$

$\bf{ \mapsto \: \star \: Height = 3.5 \: m \: \star}$

❝ Hence, the height of the rectangular tank is 3.5 m ❞

VERIFICATION:

Put the values in the formula:

➠ $\sf{ 182 = 8 \times 6.5 \times 3.5}$

➠ $\sf{ 182 = 182}$

$\sf{ [L.H.S. = R.H.S.]}$

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