Arectangular prism has a volume of 189cm^3. the height of the prism is 3cm. what are the dimensions of the base

l = 9 cm

b = 7 cm

h = 3 cm

Step-by-step explanation:

Formula:-

Volume of cuboid = lbh

l - Length of cuboid

b - breadth of cuboid

h - Height of cuboid

To find the dimensions of prism

Here prism is like a cuboid.

Volume of prism = 189 cm^3

Height h = 3 cm

Volume = lbg

189 = l * b* 3

l * b = 189/3 = 63 = 9 * 7

Therefore l and b may be 9 and 7

8

step-by-step explanation:

geometry: triangles

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answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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