# Volume of Secret Compartment in Brass Sculpture

• brncsfns5621
In summary, to find the volume of the secret compartment in the small brass sculpture believed to have a central cavity, the weight of the sculpture in air and in water is used to calculate the volume of water displaced by the sculpture. This is then subtracted from the total volume of the sculpture to find the volume of the secret compartment. The correct calculation results in a volume of 2x10^-4.
brncsfns5621
A small sculpture made of brass (p = 8470 kg/m^3) is believed to have a secret central cavity. The weight of teh sculpture in air is 15.76N. When it is submerged in water, the weight is 13.86N. What is the volume of the secret compartment?

Fb = W
W = pgV

15.76 = 8470 * 9.8 * V
15.76 = 83006V
1.89x10^-4 = V

13.86 = 8470 * 9.8 * V
13.86 = 83006V
1.66x10^-4 = V

1.89x10^-4 - 1.66x10^-4 = 2.3x10^-6

This is wrong. Why?

Wrong calculation: 1.89x10^-4 - 1.66x10^-4 = 2.3x10^-5.

I don't understand what you've done - you appear to have calculated 2 volumes. The volume is constant.

Remember, the mass (weight) difference in water tells you the mass (weight) of water displaced. So use this to find the volume of water displaced - then you know the volume of the whole brass thing.

Calculate what a SOLID brass thing of this volume should weigh.

Find the "missing" mass or weight then the volume.

There might be a quicker way. ...

Ah - you worked out the whole volume then the volume of just brass?

But did it work?

What I did is find the volume of the brass in the air, then the volume in the water and found the difference between the two. This is not the correct answer though. What did I do wrong?

OK, think I got it now:

V= m/p

Air = 15.76 / 8470
= 1.8 x 10^-3

Water = 13.86 / 8470
= 1.6x10^-3

Difference of the two is 2x10^-4, which happens to be one of the answers.

## What is the volume of the secret compartment in the brass sculpture?

The volume of the secret compartment in the brass sculpture depends on the size and shape of the compartment. It can range from a few cubic inches to several cubic feet.

## How do you measure the volume of the secret compartment in the brass sculpture?

The volume of the secret compartment can be measured by filling it with a known quantity of water and then measuring the amount of water that was displaced. This method is known as water displacement.

## Why is the volume of the secret compartment in the brass sculpture important?

The volume of the secret compartment is important because it can determine the amount of space available for hiding items within the sculpture. It can also affect the overall weight and balance of the sculpture.

## Can the volume of the secret compartment in the brass sculpture be changed?

In most cases, the volume of the secret compartment cannot be changed without altering the overall structure of the sculpture. However, some sculptures may have removable or adjustable compartments.

## How is the volume of the secret compartment in the brass sculpture related to its value?

The volume of the secret compartment does not necessarily affect the value of the brass sculpture. The value is determined by factors such as the artist, age, rarity, and overall craftsmanship of the sculpture.

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