Volume of Rectangular and Triangular Prisms

Front

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

Back

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

Front

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

Back

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

Front

How do you round a number to the nearest tenth?

Back

To round a number to the nearest tenth, look at the hundredths place. If it is 5 or greater, round up the tenths place by one. If it is less than 5, keep the tenths place the same.

Front

What units are typically used to express volume?

Back

Volume is typically expressed in cubic units, such as cm³, m³, or liters.

Front

What is the volume of a rectangular prism with a length of 5 cm, width of 3 cm, and height of 2 cm?

Back

The volume is V = 5 cm × 3 cm × 2 cm = 30 cm³.

Front

If a triangular prism has a base of 6 cm, a height of 4 cm, and a length of 10 cm, what is its volume?

Back

The volume is V = (1/2 × 6 cm × 4 cm) × 10 cm = 120 cm³.

Front

What is the significance of the base and height in the volume formula for a triangular prism?

Back

The base and height are used to calculate the area of the triangular face of the prism, which is then multiplied by the length of the prism to find the volume.

Front

How can you verify the volume calculation of a prism?

Back

You can verify the volume calculation by checking the dimensions used in the formula and ensuring they are correct, or by using a different method, such as water displacement for irregular shapes.

Front

What is the volume of a rectangular prism with a volume of 25.7 cm³ if the length is 5 cm and the width is 2.57 cm?

Back

The height can be calculated as height = volume / (length × width) = 25.7 cm³ / (5 cm × 2.57 cm) = 2 cm.

Front

What is the relationship between the dimensions of a prism and its volume?

Back

The volume of a prism is directly proportional to its dimensions; increasing any dimension (length, width, or height) will increase the volume.