Perimeter, Area, Circumference, Cross Sections

What two-dimensional figure will be created by a vertical cross section?

• triangle

• rectangle

• hexagon

• octagon

Which solids can have vertical cross sections that are circles? Check all that apply.

• cones

• prisms

• cylinders

• pyramids

• spheres

Rectangle ABCD has a perimeter of 32 units and will be rotated about line k.

What is the three-dimensional solid created?

• rectangular prism

• rectangular pyramid

• cylinder

• cone

Rectangle ABCD has a perimeter of 32 units and will be rotated about line k.

What is the radius of the base of the cylinder created?

• 3

• 6

• 10

• 12

• 38 sq. cm

• 113 sq. cm

• 201 sq. cm

• 314 sq. cm

• 31 square inches

• 50 square inches

• 79 square inches

• 314 square inches

The square shown has a perimeter of 32 units. The square is rotated about line k. What shape is created by the rotation and what is the approximate circumference of the base?

Circumference of a circle: C = 2πr

• a cone with a base circumference of about 25 units

• a cone with a base circumference of about 50 units

• a cylinder with a circumference of about 25 units

• a cylinder with a circumference of about 50 units

The equilateral triangle shown is rotated about line a. Each side of the triangle measures 20 mm. What shape is created by the rotation and what is the approximate circumference of the base?

Circumference of a circle: C = 2πr

• a cylinder with a circumference of about 63 mm

• a cylinder with a circumference of about 126 mm

• a cone with a base circumference of about 63 mm

• a cone with a base circumference of about 126 mm

What two-dimensional figure will be created by a horizontal cross section?

• triangle

• rectangle

• hexagon

• octagon

Which solids have the same types of vertical cross sections through the base?

• a rectangular prism and a cylinder

• a rectangular prism and a cone

• a cylinder and a cone

• a cylinder and a pyramid