12.4 Volume of Prisms

Front

What is the formula for the volume of a prism?

Back

Volume = Base Area × Height

Tags

CCSS.7.G.B.6

Front

How do you calculate the area of a triangle?

Back

Area = 1/2 × base × height

Tags

CCSS.6.G.A.1

Front

What is the volume of a triangular prism with a base area of 30 cm² and a height of 10 cm?

Back

Volume = 30 cm² × 10 cm = 300 cm³

Tags

CCSS.7.G.B.6

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × radius² × height

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cylinder has a radius of 3 cm and a height of 5 cm, what is its volume?

Back

Volume = π × (3 cm)² × 5 cm ≈ 141.37 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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 and height.

Tags

CCSS.7.G.B.6

Front

What is the volume of a rectangular prism with length 4 cm, width 3 cm, and height 5 cm?

Back

Volume = length × width × height = 4 cm × 3 cm × 5 cm = 60 cm³

Tags

CCSS.7.G.B.6

Front

How does the height of a prism affect its volume?

Back

Increasing the height of a prism increases its volume, assuming the base area remains constant.

Tags

CCSS.7.G.B.6

Front

What is the volume of a triangular prism with a base area of 20 cm² and a height of 12 cm?

Back

Volume = 20 cm² × 12 cm = 240 cm³

Tags

CCSS.7.G.B.6

Front

What is the volume of a cylinder with a diameter of 10 cm and a height of 7 cm?

Back

Volume = π × (5 cm)² × 7 cm ≈ 1098.17 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3