How do you find the volume of a rectangular prism?

The volume V of a rectangular prism is calculated using the formula: $$V = \text{Length} \times \text{Width} \times \text{Height}$$ .

What is the volume of a sphere with a radius of 4 meters?

The volume V of a sphere is given by the formula: $$V = \frac{4}{3}\times \frac{22}{7} \times r^3 = \frac{4}{3}\times \frac{22}{7} \times 4^3 = \frac{256}{3}\text{m}^3$$ .

What is the formula for the volume of a prism?

The volume V of a prism is given by the formula: $$V = B \times h$$ , where B is the area of the base and h is the height.

What is the volume of a square pyramid with a base length of 6 meters and a height of 9 meters?

The volume V is given by: $$V = \frac{1}{3} \times 6^2 \times 9 = 108\text{m}^3$$ .

What is the formula for the volume of a frustum of a cone?

The volume V of a frustum of a cone is given by: $$V = \frac{1}{3} \times h \times (A_1 + A_2 + \text{Area of the base})$$ .

What is the difference between mass and weight?

Mass is the amount of matter in an object, while weight is the force exerted by gravity on that mass.

How do you convert density from grams per cubic centimeter to kilograms per cubic meter?

To convert density from g/cm³ to kg/m³, multiply by 1000.

What is the volume of a cube with a side length of 3 meters?

The volume V of a cube is given by: $$V = \text{side}^3 = 3^3 = 27\text{m}^3$$ .

Understanding Volume and Density Concepts Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the formula for the volume of a square pyramid?

Back

2.

FLASHCARD QUESTION

Front

What does 'B' represent in the formula V=Bh?

Back

'B' stands for the area of the base.

3.

FLASHCARD QUESTION

Front

How do you calculate the volume of a cylinder?

Back

4.

FLASHCARD QUESTION

Front

What is Cavalieri's Principle?

Back

Cavalieri's Principle states that if two solids have the same height and the same cross-sectional area at every level, then they have the same volume.

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

What is the relationship between volume and density?

Back

7.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cone?

Back

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