Volume, Surface Area, and Cross-Sections

Front

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

Back

The volume (V) of a rectangular prism is calculated using the formula: V = length × width × height.

Front

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

Back

The surface area (SA) of a rectangular prism is calculated using the formula: SA = 2(length × width + length × height + width × height).

Front

What shape does the vertical cross-section of a triangular prism make?

Back

The vertical cross-section of a triangular prism makes a triangle.

Front

How do you find the volume of a triangular prism?

Back

The volume (V) of a triangular prism is calculated using the formula: V = (1/2 × base × height of triangle) × length of prism.

Front

What is a cross-section?

Back

A cross-section is the intersection of a solid object with a plane, revealing a two-dimensional shape.

Front

What is the relationship between volume and surface area?

Back

Volume measures the amount of space inside a solid, while surface area measures the total area of its outer surfaces.

Front

If the volume of a rectangular prism is 240 cm³ and the base area is 60 cm², what is the height?

Back

Height = Volume / Base Area = 240 cm³ / 60 cm² = 4 cm.

Front

What is the formula for the volume of a cylinder?

Back

The volume (V) of a cylinder is calculated using the formula: V = π × radius² × height.

Front

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

Back

The surface area (SA) of a cylinder is calculated using the formula: SA = 2πr(h + r), where r is the radius and h is the height.

Front

What is the formula for the volume of a cone?

Back

The volume (V) of a cone is calculated using the formula: V = (1/3) × π × radius² × height.