Explain how two different rectangular prisms can have the same volume but different surface areas. Find two prisms which show that this is true. Include diagrams and the dimensions of these prisms.
2007-04-21 18:40:06 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
V = LWH
A = 2(LW +WH + HL)
Start with a cube, 2 x 2 x 2
V = 2*2*2 = 8
A = 2(4 + 4 + 4) = 24
Now look at 1 x 2 x 4
V = 1*2*4 = 8
A = 2(1*2 + 2*4 + 4*1) = 28
...same volume, different areas...
2007-04-21 18:59:23 · answer #1 · answered by Helmut 7 · 0⤊ 0⤋
And easy example is a prism that is 2x2x3, with a volume of 12. The shape and surface area is obviously different from a prixm that is 1x2x6, though they have the same volume.
2007-04-22 01:51:29 · answer #2 · answered by Jonas_J 2 · 0⤊ 0⤋
1x1x4
1x2x2
2007-04-22 02:05:49 · answer #3 · answered by The one 4 · 0⤊ 0⤋