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Can someone describe with words and diagrams 2 three-dimensional shapes with the same volue and different surface areas.

2007-03-22 16:30:15 · 2 answers · asked by iwantmyskin1234 1 in Education & Reference Homework Help

2 answers

Yahoo! will not allow diagrams to be posted here. Words will have to do.

Let there be a cuboid of edges 2, 4 and 8 units
Volume = 2*4*8 = 64 cubic units

Take a cube of side 4 units
Volume = 4^3 = 64 cubic units

SA of cuboid = 2(8 + 32 + 16)
= 2 * 56 sq. units
= 112 sq. units

SA of cube = 6 * (4)^2
= 6 * 16
= 96 sq. units

The volumes are same, but surface areas are different

2007-03-22 17:45:48 · answer #1 · answered by Akilesh - Internet Undertaker 7 · 0 0

Sure,

A rectangular prism with sides 4, 4, and 3 has volume 48 and SA 80

A pyramid with base 4x4 and height 9 has volume 48 and surface area 89.75

2007-03-22 23:39:31 · answer #2 · answered by Anonymous · 0 0

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