Space Figures and Cross Sections

Identify the 3D shape with 6 faces, 12 edges, and 8 vertices.

• Pyramid

• Tetrahedron

• Octahedron

• Cube

Calculate the volume of a cube with side length 5 units.

• 25

• 100

• 50

• 125

Determine the surface area of a rectangular prism with dimensions 4 units by 6 units by 8 units.

• 180 square units

• 112 square units

• 240 square units

• 208 square units

Identify the cross section formed by slicing a cone perpendicular to its base.

• Square

• Triangle

• Rectangle

• Circle

Calculate the dimensions of a sphere with a volume of 36π cubic units.

• Radius = 5 units, Diameter = 10 units

• The dimensions of the sphere are: Radius = 3 units, Diameter = 6 units

• Radius = 4 units, Diameter = 8 units

• Radius = 2 units, Diameter = 4 units

Apply the formula for the volume of a cylinder to find the volume of a cylinder with radius 3 units and height 10 units.

• 60π cubic units

• 30π cubic units

• 270π cubic units

• 90π cubic units

Identify the 3D shape with 5 faces, 8 edges, and 5 vertices.

• Hexagonal pyramid

• Triangular pyramid

• Pentagonal prism

• Square pyramid

Find the surface area of a triangular prism with base edges of 4 units, height of 7 units, and length of 10 units.

• The surface area of the triangular prism is 200 square units.

• The surface area of the triangular prism is 120 square units.

• The surface area of the triangular prism is 148 square units.

• The surface area of the triangular prism is 70 square units.

Identify the cross section formed by slicing a cube parallel to one of its faces.

• Triangle

• Square

• Rectangle

• Circle

Calculate the dimensions of a cone with a surface area of 100π square units and a height of 8 units.

• The radius of the cone is approximately 12 units.

• The radius of the cone is approximately 15 units.

• The radius of the cone is approximately 18 units.

• The radius of the cone is approximately 20 units.