Exploring Volume of Three-Dimensional Figures

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

• Pi x Radius^2 x Height

• Base x Height / 2

• Base x Height / 3

• Length x Width x Height

What unit is used to express volume?

• Square units

• Cubic units

• Linear units

• Kilograms

What defines a prism in geometry?

• A shape with only triangular faces

• A 3D figure with two parallel and congruent faces

• A 2D figure with equal sides

• A 3D figure made up of only rectangles

How do you calculate the volume of a triangular prism?

• Base x Height

• (Base x Height of the triangle) / 2 x Height of the prism

• Pi x Radius^2 x Height

• (Base x Height) / 2

What is the formula to find the volume of a cylinder?

• Pi x Radius^2 x Height

• Length x Width x Height

• (Base x Height) / 2

• Base x Height / 3

What is the significance of the radius in the volume formula of a cylinder?

• It determines the height of the cylinder

• It's squared to find the base area of the cylinder

• It's multiplied by the height directly

• It has no significance in volume calculation

Why is the volume of a pyramid divided by 3 in its formula?

• It's an arbitrary convention

• Because 3 pyramids fit into a prism with the same base and height

• To convert it to square units

• Because it has 3 sides

How is the volume of a pyramid calculated?

• Pi x Radius^2 x Height

• Base Area x Height

• (Base Area x Height) / 3

• (Base x Height) / 2

What does the term 'composite figure' mean?

• A 3D figure with one type of base

• A figure made by combining two or more geometric figures

• A shape made from a single type of geometric figure

• A 2D figure made from combining shapes

How do you find the volume of a composite figure?

• Divide the total area by the height

• Subtract the smaller volume from the larger one

• Multiply the volumes of the individual shapes

• Add the volumes of the individual shapes