PYQ Vault

Pyramid volume = one third of base area x height

This type of question, asked 2 times: 7 Mar 2023 Tier II, 18 Jan 2026 Tier II. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    7 Mar 2023 Tier II

    7
    A prism and a pyramid have the same base and the same height. Find the ratio of the volumes of the prism and the pyramid.

    Tap an option to check your answer.

  2. Question 2

    18 Jan 2026 Tier II

    20
    The base of a right pyramid is an equilateral triangle with side 10 cm, and its vertical height is 24 cm. Find the volume (in cm3\text{cm}^3) of the pyramid.

    Tap an option to check your answer.

  3. Question 3

    18 Jan 2026 Tier II

    24
    The height of a pyramid is 8 m, and the base of the pyramid is a square whose diagonal is 512\sqrt{512} m. Find the approximate volume of the pyramid.

    Tap an option to check your answer.