A rectangular sheet of metal measures 60 cm by 45 cm. A scoop is made by cutting

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A rectangular sheet of metal measures 60 cm by 45 cm. A scoop is made by cutting out squares, of side x cm, from two corners of the sheet and folding the remainder as shown.

a. Show that volume, V cm³ of the scoop is given by V = 2700x – 165x² + 2x³.

b. Given that x can vary, find the value of x for which V has a stationary value.

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Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

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Question Posted: Sep 01, 2021 12:44 AM

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A rectangular sheet of metal measures 60 cm by 45 cm. A scoop is made by cutting

Question:

хст xcm 45 сm xcm 60 сm

Step by Step Answer:

To find the volume V of the scoop we need to calculate the volume of the rectangular box formed by folding the sheet The process involves cutting squa...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

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