Volume of Prisms

Front

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

Back

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

Tags

CCSS.7.G.B.6

Front

If a right rectangular prism has a length of 10 cm, a width of 5 cm, and a height of 2 cm, what is its volume?

Back

The volume is 100 cm³ (V = 10 cm × 5 cm × 2 cm).

Tags

CCSS.7.G.B.6

Front

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

Back

The volume is 60 cm³ (V = 3 cm × 4 cm × 5 cm).

Tags

CCSS.7.G.B.6

Front

How do you find the height of a right rectangular prism if you know the volume, length, and width?

Back

You can find the height by rearranging the volume formula: height = volume / (length × width).

Tags

CCSS.7.G.B.6

Front

A right rectangular prism has a volume of 48 cm³, a width of 4 cm, and a height of 3 cm. What is the length?

Back

The length is 4 cm (length = volume / (width × height) = 48 cm³ / (4 cm × 3 cm)).

Tags

CCSS.7.G.B.6

Front

What is the volume of a right rectangular prism with a length of 6 cm, a width of 2 cm, and a height of 5 cm?

Back

The volume is 60 cm³ (V = 6 cm × 2 cm × 5 cm).

Tags

CCSS.7.G.B.6

Front

If the volume of a right rectangular prism is 120 cm³ and the width is 5 cm, what is the height if the length is 6 cm?

Back

The height is 4 cm (height = volume / (length × width) = 120 cm³ / (6 cm × 5 cm)).

Tags

CCSS.7.G.B.6

Front

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

Back

The volume is directly proportional to the product of its length, width, and height.

Tags

CCSS.7.G.B.6

Front

How can you verify the volume of a right rectangular prism using its dimensions?

Back

You can verify the volume by calculating it using the formula V = length × width × height and comparing it to the given volume.

Tags

CCSS.7.G.B.6

Front

What is the volume of a right rectangular prism with dimensions 8 cm, 3 cm, and 2 cm?

Back

The volume is 48 cm³ (V = 8 cm × 3 cm × 2 cm).

Tags

CCSS.7.G.B.6