Rectangular prisms
Cyliders
Cones
Spheres
Mixed Shapes
100
  1. A right rectangular prism with a base that is 4 inches by 6 inches and is 8 inches tall.

60in^3

100

A right cylinder has a radius of 3 cm and a height of 7 cm. Find the volume. 


197.82cm^3
100

A cone has a radius of 4 cm and a height of 9 cm. What is the volume? 


150.72cm^3

100

A sphere has a radius of 3 m. What is its volume?


113.04m^3

100

Compare the volume of a cylinder (r = 4, h = 6) to a cone with the same dimensions. Which has more?


Cylinder

200

A right rectangular prism is 6 cm long, 4 cm wide, and 10 cm tall. What is the surface area?


248cm^2


200

A cylinder has radius 5 in and height 10 in. Find the surface area


471in^2

200

A right cone has a radius of 5 in and slant height of 13 in. Find the surface area.


282.6^2

200

A sphere has a radius of 6 cm. Find the surface area.


452.16cm^2

200

A sphere has the same volume as a cube with side 6 in. What is the radius of the sphere?


3.8in

300

A box has a volume of 240 in³ and dimensions of 6 in by 5 in. What is the height?


8in

300

A cylindrical can has a surface area of 314 in² and a height of 10 in. Find the radius.


3in

300

A cone holds 150 cm³ of sand and has a radius of 5 cm. Find the height.


5.73cm

300

A sphere has a volume of 268 cm³. Find its radius.


4cm
300

A cylinder and cone share radius 3 cm and height 9 cm. What is the difference in their volume?


169.56cm^3

400

A prism has dimensions 8 m by 3 m by 2 m. What is its surface area?


92m^2

400

A right cylinder has volume 565.5 cm³ and radius 3 cm. Find the height.


20cm

400

A cone has a surface area of 226.2 cm² and a radius of 6 cm. Find the slant height.


6cm

400

A sphere fits perfectly inside a cube with side length 10 cm. Find the surface area of the sphere.


314cm^2

400

A cone and a hemisphere have the same volume. If the radius is 5 cm, find the height of the cone.


10cm

500

A rectangular box is 12 in long, 6 in wide, and x inches tall. If the volume is 432 in³, what is x?


6in

500

A cylindrical water tank has radius 4 ft and height 12 ft. How many cubic feet of water can it hold?


602.88ft^3

500

A conical funnel has radius 2.5 in and height h. If its volume is 65.4 in³, find h.


10in

500

A solid metal ball has radius r. If its surface area is 452.16 in², find r.


6in

500

A cylinder with r = 5 and h = 12 has the same surface area as a rectangular prism. What could be the prism’s dimensions?


10—10—9.36 in


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