Describe Cross Sections of Three-Dimensional Figures Practice — Grade 7 math

Lesson 12-1: Describe Cross Sections of Three-Dimensional Figures — Practice Questions

1. A triangle has a base of 12 feet and a height of 6 feet. What is its area in square feet? ___
2. A trapezoid has parallel bases of 5 cm and 9 cm and a height of 8 cm. What is its area in square centimeters?
- A. 56
- B. 112
- C. 72
- D. 40
3. The area of a circle with a radius of 10 meters is $\_\_\_\pi$ square meters.
4. A parallelogram has a base of 15 cm and a perpendicular height of 4 cm. Its area is ___ square cm.
5. Which formula correctly calculates the area of a trapezoid with bases $b_1$ and $b_2$ and height $h$?
- A. $A = \frac{1}{2}(b_1 + b_2)h$
- B. A = (b_1 + b_2)h
- C. A = b_1 h + b_2
- D. $A = \frac{1}{2}b_1 b_2 h$
6. What 2D shape is created by a vertical slice through a cylinder, perpendicular to its circular bases?
- A. Circle
- B. Rectangle
- C. Triangle
- D. Square
7. If you make a horizontal slice through a square pyramid parallel to its base, what shape is the resulting cross section?
- A. Triangle
- B. Rectangle
- C. Square
- D. Circle
8. A plane slices through a cube parallel to one of its faces. The resulting two-dimensional cross section is a ___.
9. A vertical slice passes directly through the apex of a square pyramid. What shape is the resulting cross section?
- A. Square
- B. Triangle
- C. Rectangle
- D. Circle
10. Which statement best describes how different cross sections can be formed from the same 3D solid?
- A. The cross section is always the same as the base.
- B. The shape of the cross section depends on the angle of the slice.
- C. All cross sections of a cube are squares.
- D. Vertical slices always produce rectangles.