Cross-Sections of Solids

Grade 10·21 problems·~30 min·ACT Math·topic·act-geo-3d-cross

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Recall / Warm-Up

Which of the following is a two-dimensional shape?

Sphere

Cylinder

Ellipse

Cone

A rectangular prism has how many faces?

What is a cross-section of a 3D solid?

The shadow a solid casts on a wall

The 2D shape formed when a flat plane cuts through the solid

The total surface area of the solid

The outline of the solid when viewed from above

$Cylinder with a horizontal cutting plane perpendicular to its axis$

A horizontal plane cuts through a cylinder perpendicular to its axis. What is the shape of the cross-section?

Circle

Rectangle

Ellipse

Oval

A vertical plane cuts through a cylinder parallel to the cylinder's axis. What is the shape of the cross-section?

Circle

Rectangle

Ellipse

Triangle

$Cone with a horizontal cutting plane halfway up and an angled cutting plane shown for comparison$

A plane cuts through a cone perpendicular to its axis (not through the apex). What is the shape of the cross-section?

Triangle

Circle

Ellipse

Parabola

A plane cuts diagonally through a rectangular prism, entering one edge and exiting the opposite edge. What is the shape of the cross-section?

Ellipse

Circle

Rectangle

Hexagon

A plane cuts through a sphere. What is the shape of the cross-section?

It depends on the angle of the cut

Ellipse

Circle

Semicircle

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