J jthwengen New member Joined May 25, 2010 Messages 1 May 25, 2010 #1 What is side lenght of a cube whose volume is equal to its surface area What is the radius length of a sphere whose volume is equal to its surface area
What is side lenght of a cube whose volume is equal to its surface area What is the radius length of a sphere whose volume is equal to its surface area
G galactus Super Moderator Staff member Joined Sep 28, 2005 Messages 7,203 May 26, 2010 #2 jthwengen said: What is side lenght of a cube whose volume is equal to its surface area Click to expand... The volume of a cube is \(\displaystyle V=x^{3}\) The surface area is \(\displaystyle S=6x^{2}\) set them equal and solve for x. What is the radius length of a sphere whose volume is equal to its surface area Click to expand... The volume of a sphere is \(\displaystyle V=\frac{4}{3}{\pi}r^{3}\) Surface area is \(\displaystyle S=4{\pi}r^{2}\) as with the first one, set them equal and solve for r.
jthwengen said: What is side lenght of a cube whose volume is equal to its surface area Click to expand... The volume of a cube is \(\displaystyle V=x^{3}\) The surface area is \(\displaystyle S=6x^{2}\) set them equal and solve for x. What is the radius length of a sphere whose volume is equal to its surface area Click to expand... The volume of a sphere is \(\displaystyle V=\frac{4}{3}{\pi}r^{3}\) Surface area is \(\displaystyle S=4{\pi}r^{2}\) as with the first one, set them equal and solve for r.
