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Squares cut from the corners of a sheet to make an open box of given volume: find x

The same question, asked 2 times: CDS 2 2022*, CDS 1 2026. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2022

    82
    A rectangular metal sheet is of length 24 cm and breadth 18 cm. From each of its corners a square of side x cm is cut off and an open box is made of the remaining sheet. If the volume of the box is 640 cubic cm, then what is the value of x ?

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  2. Question 2

    CDS 1 2026

    66
    A metallic sheet of rectangular shape is 48 cm ×\times 36 cm. From each corner a square of side x cm is cut off and an open box is made of the remaining sheet. If the box holds 5.12 litre of water, then what is the value of x ?

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