Volume of Prisms and Cylinders

Front

What is the formula for the volume of a cylinder?

Back

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

Front

How do you calculate the volume of a triangular prism?

Back

V = (base area)(height), where the base area is the area of the triangular base.

Front

What is the volume of a rectangular prism?

Back

V = length × width × height.

Front

What units are used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic meters (m³), liters (L), and milliliters (mL).

Front

How do you convert cubic centimeters to liters?

Back

1 liter = 1000 cubic centimeters (cm³).

Front

What is the volume of a prism with a base area of 12 cm² and a height of 5 cm?

Back

V = base area × height = 12 cm² × 5 cm = 60 cm³.

Front

If a cylinder has a radius of 7 cm and a height of 10 cm, what is its volume?

Back

V = π(7 cm)²(10 cm) ≈ 1540 cm³.

Front

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

Back

V = length × width × height = 45 cm × 25 cm × 10 cm = 11250 cm³.

Front

What is the volume of a prism with a volume of 24 yd³?

Back

The volume is already given as 24 cubic yards.

Front

How do you find the base area of a triangle?

Back

Base area = (1/2) × base × height of the triangle.