The volumes of two similar solids are 729 m3 and 512 m3. The surface area of the larger solid is 324 m2. What is the surface area of the smaller solid?

A 144
B 227.6
C 256
D 288

it has changed from the width and the height.

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

5

step-by-step explanation:

central angle of a triangle has the same measure as its intercepted arc.

step-by-step explanation: