Volume and Surface Area

Front

A cone is placed inside a cylinder. The two figures have the same base area and the same height. What is the volume of the cylinder that is not taken up by the cone?

Back

314.16

Tags

CCSS.5.MD.C.5C

Front

A spherical Christmas ornament is filled halfway with snow. The ornament has a diameter of 4 inches. What is the volume of snow in the ornament?

Back

16.76

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

A FedEx truck has three cargo trailers attached to the back of the cab. If each trailer is 20 feet by 7 feet by 8 feet, how much capacity does the triple trailer have?

Back

3360

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

A company has been using boxes as shown below.  They have decided to redesign their packages to be more eco-friendly.  The new box will look like the old design but the height of the box will be 2 inches shorter.  What is the difference in volumes between the old design and the new one?

Back

72

Tags

CCSS.7.G.B.6

Front

The coaches have a ball cage that is 3 feet in width, 4 feet long, and 2 feet tall. If the radius of a basketball is 6 inches, and all of the basketballs are similar, how many basketballs can fit in the cage?

Back

45

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Allison has a hexagonal aquarium that is 22 inches tall. The area of the base is 356 square inches. She puts 3 inches of gravel in the bottom of the tank, and fills the tank with water until it reaches 2 inches from the top of the aquarium. What is the volume of water in the tank?

Back

The volume of water in the tank is 6052 cubic inches.

Tags

CCSS.7.G.B.6

Front

Lateral surface area of a cylinder is 94.2 cm², height is 6 cm. What is the diameter?

Back

5

Front

Find the lateral surface area of the figure.

Back

157.08

Front

Find the number of square feet needed to cover the figure.

Back

76

Tags

CCSS.7.G.B.6

Front

Volume of a cone with radius 7.2 inches and height 3.4 inches.

Back

184.57

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3