Volume of Rectangular Prisms

Front

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

Back

Volume = length × width × height

Front

If a rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 4 cm, what is its volume?

Back

Volume = 5 cm × 3 cm × 4 cm = 60 cm³

Front

What units are used to measure volume?

Back

Common units for volume include cubic centimeters (cm³), cubic meters (m³), liters (L), and milliliters (mL).

Front

What is a rectangular prism?

Back

A rectangular prism is a three-dimensional shape with six rectangular faces, where opposite faces are equal in area.

Front

How does changing the height of a rectangular prism affect its volume?

Back

Increasing the height of a rectangular prism increases its volume, while decreasing the height decreases its volume, assuming length and width remain constant.

Front

What happens to the volume of a rectangular prism if both the length and width are doubled?

Back

If both the length and width are doubled, the volume increases by a factor of four (2 × 2 = 4), since Volume = length × width × height.

Front

Can a rectangular prism have a volume of zero? If so, how?

Back

Yes, a rectangular prism can have a volume of zero if any of its dimensions (length, width, or height) is zero.

Front

What is the relationship between the volume of a rectangular prism and its base area?

Back

The volume of a rectangular prism is equal to the base area multiplied by the height (Volume = Base Area × Height).

Front

If the volume of a rectangular prism is 100 cm³ and its height is 5 cm, what is the area of the base?

Back

Base Area = Volume ÷ Height = 100 cm³ ÷ 5 cm = 20 cm².

Front

What is the significance of understanding the volume of rectangular prisms in real life?

Back

Understanding volume helps in various real-life applications, such as packing, construction, and determining the capacity of containers.