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1 Unit 1: Pure Mathematics A

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Question 30

A cuboid has width 2x 2x\,2x cm, height x x\,x cm and depth y y\,y cm.

The volume of the cuboid is 600 cm3^33, and its surface area is S S\,S cm2^22.

a.

Show that S=4x2+1800xS = 4x^2 + \dfrac{1800}{x}S=4x2+x1800​.

[5]
b.

Determine the value of x x\,x for which the surface area of the cuboid is a minimum, giving your answer to 3 significant figures.

[4]
c.

Find, to the nearest integer, the minimum value of SSS.

[1]
Markscheme

1 Unit 1: Pure Mathematics A Questions

  1. A Level
  2. /Maths
  3. /1 Unit 1: Pure Mathematics A

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