Take this ten-question multiple-choice quiz to practice cross sections from Common Core standard 7.G.A.3. Each question has exactly one correct answer. The explanation after each question names the shape or area calculation and points out the most common mistake.
A rectangular prism is sliced by a plane parallel to its base. What is the cross section?
A plane perpendicular to the base passes through the apex of this rectangular pyramid. What is the cross section?
The plane is parallel to the base and halfway up the pyramid. What are the dimensions of the cross section?
The plane is perpendicular to the base and parallel to the 4 cm by 5 cm end. What is the area of the cross section?
A plane is perpendicular to the base of a rectangular pyramid and parallel to one base edge. It does not pass through the apex. What is the cross section?
The plane cuts across the base diagonal, which is 10 in. long. The prism is 5 in. tall. What is the area of the cross section?
The cross section of a pyramid is the trapezoid shown. What is its area?
A pyramid has a 9 cm by 6 cm base and a height of 12 cm. A plane parallel to the base cuts it 4 cm above the base. What is the area of the cross section?
Which plane cuts a cube so that the cross section is a square?
Noah slices a loaf shaped like a rectangular prism that is 15 in. long. Each cut is perpendicular to the length, and each slice is \(\frac{1}{2}\) in. thick. How many slices does he get?
🎉 Quiz complete!
Remember:
- A cross section is the two-dimensional shape where a plane meets a solid.
- Any slice of a right rectangular prism that is parallel or perpendicular to the base is a rectangle.
- A slice of a right rectangular pyramid parallel to the base is a smaller rectangle.
- A slice of a right rectangular pyramid perpendicular to the base is a triangle if it passes through the apex, and a trapezoid if it does not.
- The area of a cross section is found with the usual area formula for its shape.
See every chapter on the Grade 7 math page.