Volume of Prisms

Front

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

Back

Volume = length × width × height

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

What does the 'B' in the volume formula V = B × h stand for?

Back

Area of the base

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

What is the volume of a triangular prism?

Back

Volume = (Base Area × height) / 2

Tags

CCSS.7.G.B.6

Front

Which unit is NOT appropriate for measuring volume?

Back

Square miles

Tags

CCSS.3.MD.A.2

Front

How do you calculate the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

Volume = π × (3 cm)² × 5 cm = 45π cm³ ≈ 141.37 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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.6.G.A.2

CCSS.5.MD.C.5B

Front

If a rectangular prism has a length of 10 ft, width of 5 ft, and height of 2 ft, what is its volume?

Back

Volume = 10 ft × 5 ft × 2 ft = 100 ft³

Tags

CCSS.7.G.B.6

Front

What is the difference in volume between a cylinder with a radius of 2 ft and height of 10 ft and a rectangular prism with dimensions 4 ft × 4 ft × 10 ft?

Back

Cylinder Volume = 40π ft³ ≈ 125.66 ft³; Rectangular Prism Volume = 160 ft³; Difference ≈ 34.34 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 3 cm and height of 9 cm?

Back

Volume = (1/3) × π × (3 cm)² × 9 cm = 27π cm³ ≈ 84.82 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3