Volume of Triangular Prisms

Front

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

Back

Volume = (Base Area × Height)

Tags

CCSS.7.G.B.6

Front

What is a triangular prism?

Back

A three-dimensional shape with two triangular bases and three rectangular faces.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

How do you find the area of a triangle?

Back

Area = (Base × Height) / 2

Tags

CCSS.6.G.A.1

Front

What units are used to measure volume?

Back

Cubic units, such as cm³, m³, or ft³.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

If a triangular prism has a base area of 15 cm² and a height of 5 cm, what is its volume?

Back

Volume = 15 cm² × 5 cm = 75 cm³.

Tags

CCSS.7.G.B.6

Front

What is the height of a triangular prism?

Back

The perpendicular distance between the two triangular bases.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

How does changing the height of a triangular prism affect its volume?

Back

Increasing the height increases the volume, while decreasing the height decreases the volume.

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 8 cm?

Back

Volume = 10 cm² × 8 cm = 80 cm³.

Tags

CCSS.7.G.B.6

Front

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

Back

The volume is directly proportional to the base area; if the base area increases, the volume increases.

Tags

CCSS.7.G.B.6

Front

If a triangular prism has a volume of 120 cm³ and a base area of 15 cm², what is its height?

Back

Height = Volume / Base Area = 120 cm³ / 15 cm² = 8 cm.

Tags

CCSS.7.G.B.6