Differentiation: Maximum Volume
Related Topics:
More Lessons for A Level Maths
Math Worksheets
A collection of videos, activities and worksheets that are suitable for A Level Maths.
How to find the maximum volume of a box?
Find the maximum volume of a box given a fixed surface area by considering stationary point.
Example:
Given an open box with area 486 cm2 and whose length is twice the width. Find the maximum volume. Show the volume is the max
A-Level Edexcel C2 June 2007 Q10(a)
Worked solution to this question on differentiation - maximum volume of a box
Figure 4 shows a solid brick in the shape of a cuboid measuring 2x cm by x cm by y cm.
The total surface area of the brick is 600 cm2.
(a) Show that the volume, V cm3, of the brick is given by
V = 200x - 4x3/3
Given that x can vary,
(b) use calculus to find the maximum value of V, giving your answer to the nearest cm3
(c) Justify that the value of V you have found is a maximum
A-Level Edexcel C2 June 2007 Q10(b)
Worked solution to this question on differentiation - maximum volume of a box. A-Level Edexcel C2 June 2007 Q10(c)
Worked solution to this question on differentiation - maximum volume of a box.
More Lessons for A Level Maths
Math Worksheets
A collection of videos, activities and worksheets that are suitable for A Level Maths.
How to find the maximum volume of a box?
Find the maximum volume of a box given a fixed surface area by considering stationary point.
Example:
Given an open box with area 486 cm2 and whose length is twice the width. Find the maximum volume. Show the volume is the max
Worked solution to this question on differentiation - maximum volume of a box
Figure 4 shows a solid brick in the shape of a cuboid measuring 2x cm by x cm by y cm.
The total surface area of the brick is 600 cm2.
(a) Show that the volume, V cm3, of the brick is given by
V = 200x - 4x3/3
Given that x can vary,
(b) use calculus to find the maximum value of V, giving your answer to the nearest cm3
(c) Justify that the value of V you have found is a maximum
Worked solution to this question on differentiation - maximum volume of a box. A-Level Edexcel C2 June 2007 Q10(c)
Worked solution to this question on differentiation - maximum volume of a box.
Check out our most popular games!
Fraction Concoction Game:
Master fractions in the lab: mix, add, and subtract beakers to create the perfect concoction!
Fact Family Game:
Complete fact families and master the link between addition & subtraction and multiplication & division.
Number Bond Garden:
Clear the board by matching number pairs that sum to ten in this garden-themed mental math puzzle.
Online Addition Subtraction Game:
Practice your addition and subtraction skills to help the penguin find its mummy.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.