Volume of Prisms

Front

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

Back

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

Front

How do you calculate the volume of a triangular prism?

Back

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

Front

What units are used to measure volume?

Back

Volume is typically measured in cubic units, such as cubic centimeters (cm³), cubic meters (m³), or cubic yards (yd³).

Front

If a fish tank has a length of 45 cm, width of 25 cm, and depth of 10 cm, what is its volume?

Back

The volume of the fish tank is 11250 cm³, calculated as V = 45 cm × 25 cm × 10 cm.

Front

What is the volume of a prism with a base area of 20 cm² and a height of 5 cm?

Back

The volume of the prism is 100 cm³, calculated as V = base area × height = 20 cm² × 5 cm.

Front

How do you round volume measurements to the nearest tenth?

Back

To round to the nearest tenth, look at the hundredths place; if it is 5 or greater, round up the tenths place by one.

Front

What is the volume of a prism with a base area of 15 cm² and a height of 4 cm?

Back

The volume of the prism is 60 cm³, calculated as V = base area × height = 15 cm² × 4 cm.

Front

What is the volume of a triangular prism with a base of 12 cm, height of 5 cm, and length of 12 cm?

Back

The volume of the triangular prism is 360 cm³, calculated as V = (1/2 × 12 cm × 5 cm) × 12 cm.

Front

What is the significance of the base area in calculating the volume of a prism?

Back

The base area is crucial as it determines the amount of space the prism occupies in relation to its height.

Front

How do you find the volume of a prism if only the dimensions of the base are given?

Back

You first calculate the area of the base and then multiply it by the height of the prism.