Volume of Prisms and Cylinders

Front

What is the formula for the volume of a prism?

Back

V = Base Area × Height

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

What are the units for measuring volume?

Back

Cubic units (e.g., cm³, m³, yd³) are used to measure volume.

Front

How do you find the base area of a triangular prism?

Back

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

Front

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

Back

V = 12 cm² × 5 cm = 60 cm³.

Front

If a cylinder has a radius of 3 cm and a height of 10 cm, what is its volume?

Back

V = π(3 cm)²(10 cm) ≈ 282.74 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 surface.

Front

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

Back

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

Front

What is the volume of a cylinder with a diameter of 8 cm and a height of 5 cm?

Back

V = π(4 cm)²(5 cm) ≈ 62.83 cm³.

Front

How do you round the volume of a figure to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up.