Surface Area, Volume, and Cross Sections

What is the surface area of the rectangular prism below?

• 124 square meters

• 208 square meters

• 240 square meters

• 248 square meters

Elijah is the manager for the soccer team. After each practice, he gathers all the soccer balls and places them in the box shown below. The box has 5 faces and no top. What is the surface area of the outside of the box?

• 24ft²

• 60ft²

• 74ft²

• 94ft²

For his art project, Alan needs to paint the outer surface of a six-sided rectangular box. If the box has a length of 4 ft, a width of 3 ft, and a height of 2 ft, how much total surface area will Alan need to paint?

• 24 square feet

• 52 square feet

• 54 square feet

• 144 square feet

Calculate the surface area of the cylinder if the radius is 4 inches and the height is 10 inches.

• 40π inches²

• 86π inches²

• 112π inches²

• 128π inches²

The table shows the dimensions of two cylinders. Which cylinder has the smallest lateral surface area in square inches?

• Cylinder A

• Cylinder B

• Cylinders A and B have the same lateral surface area

• Cylinders A and B are undefined

Marina is comparing the surface area of two soda cans. Can A has a diameter of 4 in and a height of 5 in while Can B has a diameter of 3 in and a height of 7 in. Which can has a greater surface area and by how much?

• Can A

  7.85 in²

• Can B

  7.85 in²

• Can A

  37.68 in²

• Can B

  37.68 in²

Krubell wants to make a new pencil case for the upcoming school year. He will use a circular cylinder template with a radius of 4 cm and a height of 22 cm. How much fabric will Krubell need to make his pencil case? Use 3.14 for π.

• 414 cm²

• 2210.56 cm²

• 653.12 cm²

• 1105.28 cm²

Derrick has a white cylindrical storage box that he would like to decorate with patterned paper. The radius of the box is 6.5 in and the height is 12 in. How much paper will Derrick need to cover the entire box? Use π = 3.14.

• 1591.98 in²

• 755.17 in²

• 3183.96 in³

• 1394.16 in²

This is a sphere. Select the figure that can be formed by a slice through the sphere.

• triangle

• circle

• square

• oval

Which shapes will result from cross sections cut perpendicular and parallel to the base of this cylinder? Select all that apply.

• A cross section cut perpendicular to the base of the cylinder will result in a Circle.

• A cross section cut parallel to the base of the cylinder will result in a Rectangle.

• A cross section cut perpendicular to the base of the cylinder will result in a Rectangle.

• A cross section cut parallel to the base of the cylinder will result in a Circle.