PYQ Vault

Box made of material of uniform thickness: internal vs external dimensions

This type of question, asked 2 times: CDS 2 2022, CDS 1 2025. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2022

    91
    A closed box is built of wood of uniform thickness. Its external dimensions are 12 cm, 10 cm and 8 cm. If the inner surface area is 376 square cm, then what is the thickness of the wood ?

    Tap an option to check your answer.

  2. Question 2 (case study, 2 parts)

    CDS 1 2025

    The sides of an open box are 0.5 cm thick and bottom is 1 cm thick. The internal length, breadth and depth are respectively 14 cm, 10 cm and 8 cm. It is completely filled with water.
    63
    If the material weighs 2000 kg per cubic metre, then what is the weight of the material used in the construction of the box ?

    Tap an option to check your answer.

    64
    If water weighs 1000 kg per cubic metre, then what is the weight of the box with water ?

    Tap an option to check your answer.