Math 3 Volume

Front

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

Back

The volume V of a rectangular prism is given by the formula V = length × width × height.

Front

How do you calculate the volume of a cylinder?

Back

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

Front

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

Back

The volume V of a cube is given by V = side³. For a cube with side length 3 cm, V = 3³ = 27 cm³.

Front

Define the term 'volume'.

Back

Volume is the amount of space occupied by a three-dimensional object, measured in cubic units.

Front

What is the volume of a sphere with a radius of 5 cm?

Back

The volume V of a sphere is given by V = (4/3)πr³. For a sphere with radius 5 cm, V = (4/3)π(5)³ ≈ 523.6 cm³.

Front

How do you find the volume of a cone?

Back

The volume V of a cone is calculated using the formula V = (1/3)πr²h, where r is the radius of the base and h is the height.

Front

What is the relationship between the volume of a rectangular box and its dimensions?

Back

The volume of a rectangular box is directly proportional to its length, width, and height. Increasing any dimension increases the volume.

Front

If the width of a rectangular box is w, and the length is 2 inches more than the width, what is the expression for the volume?

Back

The volume V can be expressed as V = w(w + 2)(h), where h is the height.

Front

What is the volume of a rectangular box with length 4 cm, width 3 cm, and height 2 cm?

Back

The volume V = length × width × height = 4 cm × 3 cm × 2 cm = 24 cm³.

Front

How do you round the volume to the nearest whole number?

Back

To round a number to the nearest whole number, look at the first decimal place. If it's 5 or more, round up; if it's less than 5, round down.