Volume of Rectangular Prisms and Cylinders

Rectangular Prisms

100

What is the volume of a rectangular prism with a length of 3in, a height of 7.5in, and a width of 12in?

270 in cubed

200

What is the volume of a rectangular prism with a length of 7cm, a height of 1.3cm, and a width of 9.14cm?

83.174cm cubed

300

A rectangular prism has an area of 1287 cm³. The height of the prism is 13 cm, what is the area of the base?

99cm²

400

A rectangular prism has an area of 90.045 meters cubed, and a width and length of 2.3 and 4.5. Find the height of the rectangular prism.

8.7 meters

500

What is the volume of a rectangular prism that is 5 by 6 by 7 feet, but has a cut-out in the center that is 4 by 5 by 6 feet?

90 feet³

Rectangular prisms 2.0

100

What is the volume of a prism with a base area of 40mm² and a height of 8mm?

320mm³

200

What is the volume of a cereal box with the dimensions 8in by 4in by 12 in?

384in³

300

What is the volume of a cube with the length of 6cm?

216cm³

400

What is the height of a prism with the volume of 486cm³ and a length or 9cm and a width of 6cm?

9cm

500

What is the volume of a prism that has a base area of 121m2 and a height of 11m?

Bonus: would this shape be a rectangular prism, or a cube?

1331m³

^{Bonus: It could be both!} 

^{Shape 1 = 11 x 11 x 11} 

^{Shape 2 = 1 x 121 x 11}

Volume of Cylinders

100

Find the volume of a cylinder whose radius is 3ft and height is 11ft. 

99𝝅 ft cubed

200

Find the volume of a cylinder whose radius is 5in and height is 15.84in.

369𝝅 in cubed

300

Find the volume of a cylinder whose radius is 2.12mm and height is 44mm.

197.7536𝝅 mm cubed

400

What is the diameter of a cylinder that has a height of 4 cm and a volume of 676𝝅 cm cubed?

26 cm

500

Find the volume of a cylindrical pipe that is 5 feet tall with a radius of 0.125 feet and a cut-out with a diameter of 0.2 feet. 

0.028125𝝅 feet cubed

Volume of Cylinders 2.0

100

Find the volume of a cylinder whose diameter is 8ft and height is 20ft. 

320𝝅 feet cubed

200

Find the volume of a cylinder whose diameter is 54.7cm and height is 4cm.

2992.09𝝅 cm cubed

300

Find the volume of a cylinder whose diameter is 22.5m and height is 13.2m.

1670.625𝝅 m cubed

400

What is the diameter of a cylinder with a height of 5 meters and a volume of 7.2𝝅 meters cubed?

1.2 meters

500

Find the volume of a cylindrical pipe that is 5 feet tall with a diameter of 2.34 feet and a cut-out with a diameter of 1.2 feet.

5.0445𝝅 feet cubed

Random

100

What is the formula for the volume of a cylinder?

𝝅 x r² x h

200

What is the volume of a cylinder with a height of 1 units and a diameter of 2 units?

𝝅 units cubed

300

What is the 5th digit of 𝝅?

5

400

When is Einstein's birthday?

March 14 (𝝅 day)

500

What is the formula for the volume of a cylinder?

(π x r²) x H