Volume of Irregular Figures

Front

What is the volume of a cube with a side length of 2 units?

Back

The volume is 8 cubic units (V = side³ = 2³ = 8).

Front

What is the formula to calculate the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

If a figure has a volume of 9 cubic units, what could be its dimensions if it is a rectangular prism?

Back

Possible dimensions could be 1 × 3 × 3 or 1 × 1 × 9.

Front

What is the volume of a figure made of 5 unit cubes?

Back

The volume is 5 cubic units.

Front

How do you find the volume of an irregular figure?

Back

You can find the volume by decomposing it into regular shapes and calculating the volume of each.

Front

If Maria built a figure using half as many cubes as shown in this solid figure, and the original figure has a volume of 10 cubic units, what is the new volume?

Back

The new volume would be 5 cubic units.

Front

What is the volume of a cylinder with a radius of 2 units and a height of 3 units?

Back

Volume = π × radius² × height = π × 2² × 3 = 12π cubic units.

Front

What is the relationship between volume and capacity?

Back

Volume measures the amount of space an object occupies, while capacity refers to the amount of substance a container can hold.

Front

What is the volume of a figure that is 3 units long, 2 units wide, and 4 units high?

Back

The volume is 24 cubic units (V = 3 × 2 × 4).

Front

How can you estimate the volume of an irregular shape?

Back

You can use water displacement or approximate by using known shapes.