PYQ Vault

Right pyramid with slant edge given: vertical height, volume or total surface area

This type of question, asked 3 times: 29 Jan 2022 Tier II, 3 Feb 2022 Tier II, 6 Mar 2023 Tier II. All 3 questions below, oldest first.

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  1. Question 1

    29 Jan 2022 Tier II

    62
    The base of right pyramid is an equilateral triangle, each side of which is 20 cm. Each slant edge is 30 cm. The vertical height (in cm) of the pyramid is:

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  2. Question 2

    3 Feb 2022 Tier II

    86
    The base of a right pyramid is a square of side 828\sqrt{2} cm and each of its slant edge is of length 10 cm. What is the volume (in cm3\text{cm}^3) of the pyramid?

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  3. Question 3

    6 Mar 2023 Tier II

    1
    A pyramid has an equilateral triangle as its base, of which each side is 8 cm. Its slant edge is 24 cm. The whole surface area of the pyramid (in cm2\text{cm}^2) is:

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