Volume of Regular & Irregular Figures

What is a composite figure?

• A shape made up of two or more simple shapes, such as rectangles, triangles, or circles.

• A figure that cannot be divided into smaller shapes.

• A shape that has only one side.

• A figure that is only made of circles.

What is volume?

• The weight of a substance measured in grams.

• The amount of space that a substance occupies, measured in cubic units.

• The temperature of a substance measured in degrees.

• The density of a substance measured in kilograms per cubic meter.

What is the volume of a rectangular prism with dimensions 5 cm, 4 cm, and 3 cm?

• 40 cm³

• 50 cm³

• 60 cm³

• 70 cm³

What is the formula for the volume of a cube?

• Volume = Side × Side × Side (or Side³)

• Volume = 4/3 × π × Radius³

• Volume = Length × Width × Height

• Volume = Side × Side

If a rectangular prism has a volume of 48 cubic units and a height of 4 units, what is the base area?

• 8 square units

• 10 square units

• 12 square units

• 16 square units

If a cube has a volume of 64 cubic units, what is the length of one side?

• 2 units

• 3 units

• 4 units

• 5 units

How do you find the volume of a rectangular prism?

• Add the length, width, and height: Volume = Length + Width + Height.

• Multiply the length, width, and height: Volume = Length × Width × Height.

• Subtract the width from the length and multiply by height: Volume = (Length - Width) × Height.

• Divide the length by the width and multiply by height: Volume = (Length ÷ Width) × Height.

What is the volume of a sphere?

• Volume = (4/3) × π × radius³.

• Volume = 2 × π × radius².

• Volume = π × radius² × height.

• Volume = (1/3) × π × radius³.

How do you calculate the volume of irregular shapes?

• Measure the shape's height and width and multiply them together.

• Use a formula specific to the shape's geometry.

• Break the shape into known shapes, calculate their volumes, and then add them together.

• Estimate the volume based on the shape's appearance.

How do you find the volume of a triangular prism?

• Volume = (Base Area × Height) of the prism.

• Volume = (Base Area + Height) of the prism.

• Volume = (Base Area × Height) / 2 of the prism.

• Volume = (Base Area - Height) of the prism.