Question

# A Stone of volume 36 cubic cm is placed in a rectangular tank measuring 8 cm by 6 cm by 5 cm. A student wants to fill the tank with water to a height of 4 cm. What is the volume of the water needed?

Hint:

### We find the partial volume of the tank with height of the water level given. Then we subtract the volume of stone from the calculated volume of water to get the volume of water needed.

## The correct answer is: The water needed is 156 cm3.

### Explanations:

Step 1 of 2:

The length and width of the rectangular tank are given by, 8 cm(= ) and 6 cm(= b).

A student wants to fill the tank with water to a height of 4 cm(= h).

Then, the volume of water needed without the stone is cm^{3}

Step 2 of 2:

The volume of the stone is given by, 36 cm^{3}

Therefore, the water needed to fill up to desired height is 192 – 36 = 156 cm^{3}

Final Answer:

The water needed is 156 cm^{3}.

### Related Questions to study

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### The velocity v , in meters per second, of a falling object on Earth after t seconds, ignoring the effect of air resistance, is modeled by the equation v = 9.8t . There is a different linear relationship between time and velocity on Mars, as shown in the table below.

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**Note:**

When we get time t = 6 seconds, we can find the answer directly from the options. As 6 is between 4 and 8, and the relation is linear,

so the velocity is between 14.8 metres per second and 29.6 metres per second.

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**Note:**

When we get time t = 6 seconds, we can find the answer directly from the options. As 6 is between 4 and 8, and the relation is linear,

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Which of the following is true about the standard deviations of the two data sets in the table above?

**Note:**

We could also calculate the standard deviation for both the data sets

The formula for standard deviation is

Where,

= standard deviation

= total number of terms

= terms given in the data

= mean

After finding both the standard deviations, we can compare them. This is a tedious task and needs precision.

Which of the following is true about the standard deviations of the two data sets in the table above?

**Note:**

We could also calculate the standard deviation for both the data sets

The formula for standard deviation is

Where,

= standard deviation

= total number of terms

= terms given in the data

= mean

After finding both the standard deviations, we can compare them. This is a tedious task and needs precision.