?Consider a cube of side \(x\). (a) Show that the surface area of a cube of side \(x\)
Chapter 0, Problem 39(choose chapter or problem)
Consider a cube of side \(x\).
(a) Show that the surface area of a cube of side \(x\) is \(S=6 x^{2}\).
(b) If the edge of a cube is doubled in length, what happens to the surface area? To the volume? [Hint: Consider the ratio of the original surface area to the new surface area, and similarly for the volumes.]
(c) If the edge of a cube is tripled in length, what happens to the surface area? To the volume? [Hint: Consider the ratio of the original surface area to the new surface area, and similarly for the volumes.]
(d) Can you generalize the results of parts (b) and (c) to describe what happens to the surface area and volume of a cube if the length of its edge is multiplied by \(k\)?
Equation Transcription:
Text Transcription:
x
S=6x^2
k
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