LT

Test: Cross-sections of solids

Recognition and area problems for sections of cubes, prisms, pyramids, cylinders and cones.

Question qty: 10
Duration in minutes: 16
Start »

Time left: 00:00:00

Finish the test
List of tests
Start over

Sample questions

  • What should first be identified before calculating a section area?
  • What shape is an axial section of a right cone?
  • A sphere is cut through its centre. The section-circle radius is r cm. Find the area of its circumscribed square.
  • What does “axial section” mean?
  • What shape results when a cylinder is cut by a plane through its axis?
  • A cube section parallel to a face is a square of side a cm. Find its area.
  • A pyramid diagonal section has base a cm and height h cm. Find its area.
  • A right prism has base a cm × b cm and height h cm. Find its diagonal-section area.

Related mathematics tests

Cylinder, cone and sphere

This test covers the principal elements and properties of cylinders, cones and spheres. Tasks calculate volume, lateral and total surface area, interpret axial sections and select an appropriate formula.

Solve: Cylinder, cone and sphere

Statistical study and data interpretation

This test develops planning of a statistical investigation and justified interpretation of data. Tasks cover populations, samples, variable types, the mean, standard deviation, outliers and the reliability of conclusions.

Solve: Statistical study and data interpretation

Prisms and pyramids

This test develops geometric reasoning and calculations with prisms and pyramids. Students find volume, lateral and total surface area, altitude and edges and analyse diagonal cross-sections.

Solve: Prisms and pyramids

Correlation and linear model

This test evaluates relationships between two variables using correlation and a linear model. Students interpret the correlation coefficient and R², calculate predictions and residuals and assess model suitability and the limits of causal conclusions.

Solve: Correlation and linear model