What is the relationship between volume and capacity?

Volume measures the amount of space an object occupies, while capacity refers to the amount of substance a container can hold.

What units are used to measure volume?

Common units include cubic centimeters (cm³), liters (L), and cubic meters (m³).

How does changing the dimensions of a shape affect its volume?

Increasing any dimension (length, width, height) will increase the volume, while decreasing any dimension will decrease the volume.

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

$$V=\pi (3^2)(5)=45\pi\, cm^3$$ .

If a sphere has a radius of 4 cm, what is its volume?

$$V=\frac{4}{3}\pi (4^3)=\frac{256}{3}\pi\, cm^3$$ .

What is the volume of a rectangular prism with dimensions 2 cm, 3 cm, and 4 cm?

$$V=2\cdot3\cdot4=24\, cm^3$$ .

What is the formula for the volume of a triangular prism?

$$V=\frac{1}{2}bh\cdot h_{prism}$$ where b is the base of the triangle, h is the height of the triangle, and h_{prism} is the height of the prism.

How do you find the volume of an irregular shape?

Use water displacement method: submerge the object in water and measure the volume of water displaced.

Review 12/17 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What does the letter V represent in geometry?

Back

Volume

2.

FLASHCARD QUESTION

Front

What is the volume formula for a rectangular prism?

Back

3.

FLASHCARD QUESTION

Front

What is the volume formula for a cylinder?

Back

4.

FLASHCARD QUESTION

Front

What is the volume formula for a cone?

Back

5.

FLASHCARD QUESTION

Front

What is the volume formula for a sphere?

Back

6.

FLASHCARD QUESTION

Front

What is the volume formula for a pyramid?

Back

7.

FLASHCARD QUESTION

Front

How do you calculate the volume of a cube?

Back

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