Question

A tank is in the form of a cuboid. It holds a
maximum of 540 m water. If the tank is 8 m
long and 15 m wide, then how many metres
2
deep must the water be when the tank is - full?
3​

Answer 1

Answer:

4.5 meters deep must the water be when the tank.

Step-by-step explanation:

Given : A tank is in the form of a cuboid. It holds a maximum of 540 m³ water. If the tank is 8 m long and 15 m wide.

To find : How many meters deep must the water be when the tank ?

Solution :

The volume of the tank is given by,

\text{Volume}=\text{Length}\times \text{Breadth}\times \text{Height}Volume=Length×Breadth×Height

The volume is 540 m³.

The length is 8 m.

The breadth is 15 m.

Substitute the value,

540=8\times 15\times \text{Height}540=8×15×Height

\text{Height}=\frac{540}{8\times 15}Height=

8×15

540

\text{Height}=4.5Height=4.5

Therefore, 4.5 meters deep must the water be when the tank.

Answer 2

Question :-

• A tank is in the form of a cuboid. It holds a maximum of 540 m water. If the tank is 8m long and 15 m wide, then how many metres deep must the water be when the tank is full?

Given :-

• Volume of Cuboid = 540m³
• Length of the Cuboid = 8m
• Breadth of the Cuboid = 15m

To Find :-

• What is the Height of the Cuboid ?

Solution :-

${:} \longrightarrow \sf{\sf{Volume \: = \: Length \: \times \: Breadth \: \times \: Height }}$

${:} \longrightarrow \sf{\sf{Height \: = \:\dfrac {Volume }{Length \: \times \: Breadth} }}$

${:} \longrightarrow \sf{\sf{Height \: = \:\dfrac {540 }{ 8\: \times \: 15} }}$

${:} \longrightarrow \sf{\sf{Height \: = \:\dfrac {540 }{ 120} }}$

${:} \longrightarrow \sf{\bf{Height \: = \:4.5\:m }}$

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Verification :-

${:} \longrightarrow \sf{\sf{Volume \: = \: Length \: \times \: Breadth \: \times \: Height }}$

${:} \longrightarrow \sf{\sf{540 \: = \: 8 \: \times \: 15 \: \times \: 4.5 }}$

${:} \longrightarrow \sf{\sf{540 \: = \: 120 \: \times \: 4.5 }}$

${:} \longrightarrow \sf{\bf{540 \: = \: 540 }}$

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Therefore, Height of Cuboid = 4.5m

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More For Knowledge :-

Rules of Cuboid

• Volume = Length × Breadth × Height
• Length = Volume / Breadth × Height
• Breadth = Volume / Length × Height
• Height = Volume / Length × Breadth

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