Surface Area and Volume of Rectangular Prisms and Cylinders

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × r² × h, where r is the radius and h is the height.

Front

What is the formula for the surface area of a cylinder?

Back

Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

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

Back

Volume = length × width × height.

Front

What is the formula for the surface area of a rectangular prism?

Back

Surface Area = 2(lw + lh + wh), where l is length, w is width, and h is height.

Front

What does π (pi) represent in geometry?

Back

π (pi) is a constant approximately equal to 3.14, representing the ratio of the circumference of a circle to its diameter.

Front

How do you calculate the radius of a cylinder if you know the diameter?

Back

Radius = Diameter ÷ 2.

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 cylinder has a radius of 3 cm and a height of 5 cm, what is its volume?

Back

Volume = π × (3 cm)² × 5 cm = 141.3 cm³ (using π ≈ 3.14).

Front

If a rectangular prism has dimensions 2 m, 3 m, and 4 m, what is its volume?

Back

Volume = 2 m × 3 m × 4 m = 24 m³.

Front

What is the total surface area of a cylinder with a radius of 2 m and a height of 5 m?

Back

Surface Area = 2π(2 m)(5 m + 2 m) = 88.0 m² (using π ≈ 3.14).