Volume Formula

Front

What is the formula for the volume of a cube?

Back

The volume of a cube is calculated using the formula V = s³, where s is the length of a side.

Front

What is the volume of a rectangular prism?

Back

The volume of a rectangular prism is calculated using the formula V = l × w × h, where l is the length, w is the width, and h is the height.

Front

What does it mean for an object to have volume?

Back

Volume is the amount of space an object occupies.

Front

How do you calculate the volume of a cylinder?

Back

The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius of the base and h is the height.

Front

What is the volume of a sphere?

Back

The volume of a sphere is calculated using the formula V = (4/3)πr³, where r is the radius.

Front

What is the relationship between volume and capacity?

Back

Volume refers to the amount of space an object occupies, while capacity refers to the amount of substance (like liquid) that a container can hold.

Front

If a box has a volume of 24 cubic units and a height of 2 units, what is the area of the base?

Back

The area of the base can be found using the formula A = V/h. So, A = 24/2 = 12 square units.

Front

What dimensions would create a box with a volume of 30 cubic units?

Back

Possible dimensions could be length: 3 units, width: 5 units, height: 2 units (3 × 5 × 2 = 30).

Front

What is the volume of a triangular prism?

Back

The volume of a triangular prism is calculated using the formula V = (1/2) × base × height × length, where base and height refer to the triangle's dimensions.

Front

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

Back

Changing any of the dimensions (length, width, height) will change the volume, as volume is the product of these three dimensions.