Determining Cross Sections of 3D Shapes

The video tutorial explores the transition from two-dimensional to three-dimensional objects, focusing on the measurement of volume and surface area. It introduces various 3D objects like prisms, cylinders, pyramids, and cones, explaining their bases and faces. The lesson delves into slicing these objects to understand cross-sections, emphasizing parallel and perpendicular cuts. It also covers the application of these concepts in calculating the area of cross-sections, providing practical examples and exercises.

What is the base shape of a cylinder?

• Hexagon

• Circle

• Triangle

• Rectangle

What shape is formed when slicing a cone parallel to its base?

• Triangle

• Hexagon

• Circle

• Rectangle

When slicing a hexagonal prism parallel to the base, what shape is formed?

• Triangle

• Circle

• Rectangle

• Hexagon

What shape results from slicing a cylinder perpendicular to its base?

• Circle

• Ellipse

• Triangle

• Rectangle

What cross-section is formed when slicing a triangular pyramid parallel to its base?

• Hexagon

• Triangle

• Circle

• Rectangle

What is the shape of the cross-section when a cube is sliced at an angle not parallel or perpendicular to any face?

• Ellipse

• Hexagon

• Trapezoid

• Triangle

What type of cross-section is formed when slicing a cylinder at an angle different from parallel or perpendicular?

• Rectangle

• Ellipse

• Circle

• Triangle

How do you calculate the area of a rectangle formed by slicing a cylinder perpendicular to its base?

• Base times height

• Pi times radius squared

• Side squared

• Length times width

What is the area of a circle with a diameter of 10 cm?

• 78.5 cm²

• 314 cm²

• 50 cm²

• 100 cm²

If a rectangular prism is sliced parallel to its base, what shape is the cross-section?

• Triangle

• Rectangle

• Circle

• Hexagon