7th Grade Cross-Sections of Three-Dimensional Figures Quiz: 10 Questions with Explanations

A A triangleB A smaller rectangle than the baseC A circleD A rectangle congruent to the base

In a prism, a slice parallel to the base is the same size as the base.

A The same lengthB Half as longC Twice as longD One fourth as long

Halfway up, the side is \(\frac{1}{2}\) the base side. The area is \(\frac{1}{4}\) the base area.

A TriangleB SquareC CircleD Hexagon

The plane meets two base points and the apex, forming a triangle.

A 36B 60C 15D 180

The cross-section is a 12-by-3 rectangle: \(12 \times 3 = 36\).

A SquareB HexagonC CircleD Triangle

The plane meets three faces, so it has three sides.

A 5B 7.5C 2.5D 15

\((20 – 5) \div 20 \times 10 = 7.5\).

A A circleB A rectangle that is not a squareC A pentagon with a curved sideD A figure with 9 sides

A tilted plane across two opposite edges makes a non-square rectangle.

A 80 square feetB 800 square feetC 200 square feetD 120 square feet

The surface is parallel to the base: \(20 \times 10 = 200\).

A One fourth of the wayB Three fourths of the wayC HalfwayD At the apex

The side ratio is \(\frac{4}{8} = \frac{1}{2}\), so the cut is halfway up.

A A plane cutting off a corner (a triangle)B A plane parallel to the baseC A plane parallel to the front faceD A plane parallel to the side face

A corner cut gives a triangle, so not every slice is a rectangle.