Volume of Prisms and Cylinders

Front

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

Back

Volume = 1/2 x base of triangle x height of triangle x height of prism

Tags

CCSS.7.G.B.6

Front

What is the volume of a prism with a base area of 10 m² and a height of 5 m?

Back

Volume = base area x height = 10 m² x 5 m = 50 m³

Tags

CCSS.7.G.B.6

Front

What is the volume of a cylinder?

Back

Volume = π x radius² x height

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a triangular prism has a base of 4 cm, a height of 3 cm, and a height of the prism of 5 cm, what is its volume?

Back

Volume = 1/2 x 4 cm x 3 cm x 5 cm = 30 cm³

Tags

CCSS.7.G.B.6

Front

What is the volume of a rectangular prism with length 4 m, width 3 m, and height 2 m?

Back

Volume = length x width x height = 4 m x 3 m x 2 m = 24 m³

Tags

CCSS.7.G.B.6

Front

How do you find the volume of a prism?

Back

Multiply the area of the base by the height of the prism.

Tags

CCSS.7.G.B.6

Front

What is the volume of a cylinder with a radius of 2 m and a height of 7 m?

Back

Volume = π x (2 m)² x 7 m ≈ 87.96 m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the difference between the volume of a prism and a cylinder?

Back

Both are calculated using base area and height, but the base shape differs (triangular for prism, circular for cylinder).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the base area of a prism is 15 cm² and its height is 4 cm, what is the volume?

Back

Volume = base area x height = 15 cm² x 4 cm = 60 cm³

Tags

CCSS.7.G.B.6

Front

What is the volume of a cube with side length 3 cm?

Back

Volume = side³ = 3 cm x 3 cm x 3 cm = 27 cm³

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2