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Further applications of differentiation — Question 278

Original QCE Vault practice · 6 marks

Q278 · Practice questionTechnology-freeComplex familiar6 marks

QUESTION 278 (6 marks)

Squares of side

x

cm are cut from each corner of a

30

cm by

18

cm sheet. The sides are folded up to make an open box.

30 cm by 18 cm sheet with four equal square corner cut-outs of side x. Interior fold lines are dashed. Not to scale.

a)

Write its volume

V(x)

and state the physical domain.

[2 marks]

b)

Determine the exact value of

x

that maximises the volume.

[4 marks]

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