Friday

July 25, 2014

July 25, 2014

Posted by **alisa** on Tuesday, November 15, 2011 at 8:09pm.

- geometry -
**bobpursley**, Tuesday, November 15, 2011 at 8:19pmlets take a rectangular solid, in the form of a long prism.

V=bhl

Area= 2(bh+lh+bl)

let l= 8, b=8h

so, for v=8, l=8, b,h=1

now scale it up to 125/8

l=8*cubrt(125/8)=8*5/2=40

b= 5/2 h=5/2

original surface area: 2(1+8+8)=34

new surface area: 2(25/4+200/2+200/2)

= 2(412.5/2)=412.3

ratios of surefce area 34:412.3

Now you need to figure other shapes. Try a cube, and a sphere.

- geometry -
**Steve**, Wednesday, November 16, 2011 at 12:39amIf two solids have volume ratio r^3, then

their linear ratio (sides length) is r

their area ratio (surface area) is r^2

So, since

v/V = (2/5)^3

a/A = (2/5)^2 = 4/25

You gained a factor of 2 there when you said 8*5/2 = 40

**Related Questions**

Geometry - The scale factor of two similar solids is 7:5. 8) Find the ratio of ...

Math (geometry) - A diagonal of one cube is 2 cm. A diagonal of another cube is ...

geometry-finding ratio - Ratio of the heights of two similar cones is 7/9 what ...

geometry - The surface areas of two similar solids are 36sq. yds and 144 sq yds...

Geometry - Two similar rectangular prisms have corresponding sides that measure ...

geometry - if two cones are similar and the ratio between the lenghts of the ...

geometry - if two cones are similar and the ratio between the lengths of the ...

geometry - if two cones are similar and the ratio between the lengths of the ...

geometry - the surface areas of two similar solids are 340 yd2 and 1158 yd2 the ...

geometry - Two triangles are similar, and the ratio of each pair of ...