Free Printable 3 Modeling with Geometry Orange #1-19

1.

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2.

Round to the nearest tenths (1 digit after decimal).

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7.

$density\ =\ \frac{mass}{volume}=\frac{number\ of\ students}{square\ footage}$ HINT: After you find each density, input the answer with the LOWEST density.

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9.

$V\ =\ \frac{1}{3}\pi r^2h$

HIINT: 1. Find the volume of the cone using the formula above.

2. Recall that density = mass/volume. To find mass, rearrange the equation so that mass is on one side by itself.
mass = density x volume

3. Find the mass of each cone and find the difference by subtracting the two masses.

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HINT:

1. Find the volume of the rectangular prism.

2. Find the volume of the cylindrical tube,

3. Subtract the 2 values (rectangular prism - cylindrical tube) to get final answer.

Input your answer to the nearest hundredths place (2 digits after decimal).

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HINT: There are 4 sides in a rectangle. How can you divide 100 feet so that the base and height of the rectangle will give you the greatest area?

Once you find that, use A = bh to find the maximum area.

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18.

HINT:

This is called the displacement method for finding volume.

1. Find the volume before the rock is put into water.

2. Find the volume after the rock is put into water.

3. Subtract the two answers to find the volume of the rock.

(a)

19.

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3 Modeling with Geometry Orange #1-19

Total questions: 19

Worksheet time: 57mins

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