3D Slices & Area, Perimeter and Volume

A cylinder is sliced by a plane as shown. Which two-dimensional figure is created on the plane after slicing the cylinder?

• circle

• ellipse

• rhombus

• square

What two-dimensional figure is created by slicing a square pyramid perpendicular to its base and through its apex?

• trapezoid

• square

• non-square rectangle

• triangle

A rectangular prism has a height of 4 inches (in.), a width of 5 in., and a length of 6 in. What are the dimensions of the rectangular figure created by slicing the rectangular prism parallel to its smallest face?

• 4 in. × 5 in.

• 4 in. × 6 in.

• 5 in. × 5 in.

• 5 in. × 6 in.

Slices of which figure are always circles?

• cone

• cylinder

• ellipsoid

• sphere

Wilson is traveling from his house to a campsite. On his map, the campsite is 4.8 centimeters (cm) away from Wilson's house. The map is scaled such that 3 cm = 100 miles (mi). How far away is the campsite from Wilson's house?

• 160 mi

• 150 mi

• 140 mi

• 130 mi

• A) 6 ft × 10 ft

• B) 9 ft × 15 ft

• C) 18 ft × 30 ft

• D) 27 ft × 45 ft

Margo made a scaled print of a painting, with measurements in inches (in.). The original painting was 36 in. × 36 in. The print Margo made was 9 in. × 9 in. What was the scale factor that Margo used?

• C. 4

• D. 9

The scale for the areas of two squares is 1:4. The length of the small square is 6 feet. What is the length of the large square?

• 12 feet

• 24 feet

• 48 feet

• 96 feet

A cylindrical paint can has a diameter of 5 3/8 inches (in.) and a height of 5 7/8 in. What is the approximate volume, in cubic inches (in³), of the paint can?

• 99.21 in³

• 133.31 in³

• 145.71 in³

• 533.23 in³

• 107π
• 100π
• 110π
• 120π