8 RP - Unit 10 - Volume

Front

What is volume?

Back

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

Front

How do you calculate the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Front

If the radius of a cylinder is doubled, how does the volume change?

Back

The volume increases by a factor of four, since volume is proportional to the square of the radius.

Front

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

Back

Volume = side³ = 3 cm × 3 cm × 3 cm = 27 cm³.

Front

How do you convert cubic centimeters to liters?

Back

1 liter = 1000 cubic centimeters.

Front

What is the volume of a rectangular prism with length 4 cm, width 3 cm, and height 5 cm?

Back

Volume = length × width × height = 4 cm × 3 cm × 5 cm = 60 cm³.

Front

What is the volume of a cylinder with a radius of 2 cm and a height of 10 cm?

Back

Volume = πr²h = 3.14 × (2 cm)² × 10 cm = 125.6 cm³.

Front

How do you find the volume of an irregular shape?

Back

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