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This figure represents a compartment in a container for storing sewing supplies. Another compartment is identical except that it is 3 centimeters taller.

What is the difference in volume of the two compartments?

This figure represents a compartment in a container for storing sewing supplies Another compartment is identical except that it is 3 centimeters taller What is class=

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mathstudent55

Answer:

210 cm³

Step-by-step explanation:

The compartment is shaped like a prism with a trapezoidal base.

volume = (area of base) × (height of prism)

You can find the volume of each compartment and then find the difference between them, but a quicker way is to find the volume of a compartment whose height is just the difference of the two heights.

difference in volumes = (15 cm + 5 m)/2 × 7 cm × 3 cm

difference in volumes = 210 cm³

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