Volume of Prisms

Front

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

Back

Volume = length × width × height

Front

If a rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm, what is its volume?

Back

30 cm³

Front

What is the volume of a prism with a base area of 20 cm² and a height of 5 cm?

Back

100 cm³

Front

How do you find the volume of a triangular prism?

Back

Volume = (Base Area × Height) where Base Area = (1/2 × base × height of triangle) and Height is the length of the prism.

Front

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

Back

Volume = π × radius² × height = 45π cm³ (approximately 141.37 cm³)

Front

What is the difference between volume and surface area?

Back

Volume measures the space inside a 3D object, while surface area measures the total area of the object's outer surface.

Front

If a prism has a volume of 240 cm³ and a height of 10 cm, what is the area of its base?

Back

Base Area = Volume / Height = 240 cm³ / 10 cm = 24 cm²

Front

What is the volume of a cube with a side length of 4 cm?

Back

Volume = side³ = 4 cm × 4 cm × 4 cm = 64 cm³

Front

How do you convert cubic centimeters to liters?

Back

1 liter = 1000 cm³, so divide the volume in cm³ by 1000 to convert to liters.

Front

What is the volume of a fish tank that is 45 cm long, 25 cm wide, and 10 cm deep?

Back

Volume = length × width × height = 45 cm × 25 cm × 10 cm = 11250 cm³