Volume of Prisms

Front

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

Back

Volume = Base Area × Height

Tags

CCSS.7.G.B.6

Front

What does the term 'Base Area' refer to in the context of prisms?

Back

Base Area is the area of the base shape of the prism.

Tags

CCSS.6.G.A.4

Front

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

Back

Volume = 5 cm × 3 cm × 4 cm = 60 cm³

Tags

CCSS.7.G.B.6

Front

What is the volume of a triangular prism with a base area of 10 cm² and a height of 5 cm?

Back

Volume = Base Area × Height = 10 cm² × 5 cm = 50 cm³

Tags

CCSS.7.G.B.6

Front

How do you calculate the volume of a cylinder?

Back

Volume = π × radius² × height

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 7 cm?

Back

Volume = π × (3 cm)² × 7 cm ≈ 197.92 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the significance of rounding in volume calculations?

Back

Rounding is important for simplifying answers to a practical number of decimal places.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

If a prism has a volume of 200 cm³ and a base area of 50 cm², what is its height?

Back

Height = Volume ÷ Base Area = 200 cm³ ÷ 50 cm² = 4 cm

Tags

CCSS.7.G.B.6

Front

What is the volume of a cube with a side length of 4 cm?

Back

Volume = side³ = 4 cm × 4 cm × 4 cm = 64 cm³

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

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

Back

The volume is directly proportional to the base area and height of the prism.

Tags

CCSS.7.G.B.6