Volume of prisms

Front

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

Back

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

Tags

CCSS.7.G.B.6

Front

How do you find the volume of a prism?

Back

To find the volume of a prism, multiply the area of the base by the height of the prism: Volume = Base Area × Height.

Tags

CCSS.7.G.B.6

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 feet (ft³).

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

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

Back

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

Tags

CCSS.7.G.B.6

Front

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

Back

The volume of a cube is calculated as V = side³. Therefore, V = 2 m × 2 m × 2 m = 8 m³.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

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

Back

The volume of a prism is directly proportional to its base area; as the base area increases, the volume increases if the height remains constant.

Tags

CCSS.7.G.B.6

Front

How do you calculate the volume of a triangular prism?

Back

The volume of a triangular prism is calculated using the formula: Volume = (Base Area of Triangle) × Height.

Tags

CCSS.7.G.B.6

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

The volume of a cylinder is calculated using the formula: V = πr²h. Therefore, V = π(3 cm)²(5 cm) ≈ 141.37 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the volume of a prism is 240 cm³ and the base area is 60 cm², what is the height of the prism?

Back

The height can be found using the formula: Height = Volume / Base Area. Therefore, Height = 240 cm³ / 60 cm² = 4 cm.

Tags

CCSS.7.G.B.6

Front

What is the volume of a rectangular prism with dimensions 2 ft, 3 ft, and 4 ft?

Back

The volume is V = 2 ft × 3 ft × 4 ft = 24 ft³.

Tags

CCSS.7.G.B.6