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Right prism on a triangle or trapezium base given by its sides: lateral area, volume, height or total area

This type of question, asked 4 times: 29 Jan 2022 Tier II, 3 Feb 2022 Tier II, 8 Aug 2022 Tier II, 18 Jan 2026 Tier II. All 4 questions below, oldest first.

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  1. Question 1

    29 Jan 2022 Tier II

    43
    The base of a right prism is a triangle with sides 16 cm, 30 cm and 34 cm. Its height is 32 cm. The lateral surface area (in cm2\text{cm}^2) and the volume (in cm3\text{cm}^3) are, respectively:

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  2. Question 2

    3 Feb 2022 Tier II

    87
    The base of a right prism is a triangle whose sides are 8 cm, 15 cm and 17 cm, and its lateral surface area is 480 cm2\text{cm}^2. What is the volume (in cm3\text{cm}^3) of the prism?

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  3. Question 3

    8 Aug 2022 Tier II

    45
    The base of a prism is a right angle triangle whose sides are 9 cm, 12 cm and 15 cm. Volume of this prism is 648 cm3\text{cm}^3. What will be the height of prism?

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  4. Question 4

    18 Jan 2026 Tier II

    25
    The base of a right prism is an isosceles trapezium with parallel sides measuring 10 cm and 20 cm, and non-parallel sides measuring 13 cm each. The volume of the prism is 3240 cm33240\ \text{cm}^3. What is the total surface area of the prism?

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