Volume of Triangular Prisms

Front

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

Back

Volume = (Base Area × Height) = (1/2 × base × height of triangular face × length of prism)

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 = 1/2 × base × height.

Tags

CCSS.6.G.A.1

Front

If a triangular prism has a base of 10 cm and a height of 5 cm, what is the area of the triangular face?

Back

Area = 1/2 × 10 cm × 5 cm = 25 cm².

Tags

CCSS.7.G.B.6

Front

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

Back

Volume = 30 cm² × 10 cm = 300 cm³.

Tags

CCSS.7.G.B.6

Front

What units are used to measure volume?

Back

Cubic units (e.g., cm³, m³, mm³).

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

How do you convert millimeters to centimeters?

Back

Divide the number of millimeters by 10.

Tags

CCSS.4.MD.A.1

Front

What is the volume of a triangular prism that is 12 cm long with a triangular face area of 24 cm²?

Back

Volume = 24 cm² × 12 cm = 288 cm³.

Tags

CCSS.7.G.B.6

Front

If the height of a triangular face is doubled, how does that affect the volume of the prism?

Back

The volume will also double, since volume is directly proportional to the height of the triangular face.

Tags

CCSS.7.G.B.6

Front

What is the relationship between the base and height of a triangle in calculating its area?

Back

The area of a triangle is directly proportional to both its base and height.

Tags

CCSS.6.G.A.1