Volume of Cylinders and Rectangular 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

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

Back

Volume = 5 ft × 4 ft × 3 ft = 60 ft³

Tags

CCSS.7.G.B.6

Front

What unit is used to measure volume?

Back

Cubic units (e.g., cm³, in³, yd³) are used to measure volume.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 10 cm? (Use π = 3.14)

Back

Volume = 3.14 × (3 cm)² × 10 cm = 282.6 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Which of the following is NOT a unit of volume? square miles, inches³, cm³, cubic feet

Back

Square miles is NOT a unit of volume.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

How do you convert cubic centimeters to liters?

Back

1 liter = 1000 cm³, so divide the volume in cm³ by 1000 to convert to liters.

Tags

CCSS.5.MD.A.1

Front

What is the volume of a rectangular prism with dimensions 2 m × 3 m × 4 m?

Back

Volume = 2 m × 3 m × 4 m = 24 m³

Tags

CCSS.7.G.B.6

Front

If the radius of a cylinder is doubled, how does that affect the volume?

Back

The volume increases by a factor of 4, since volume is proportional to the square of the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a diameter of 8 cm and a height of 5 cm? (Use π = 3.14)

Back

Volume = 3.14 × (4 cm)² × 5 cm = 62.8 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3