Brian has two cubes the first cube has a volume of 125cm3
The first cube has a volume of 125cm3
The second cube has a volume of 343cm3
What is the difference in the area of one face of the second cube and the area of one face of the first cube?

Volume of a cube is S^3

Find the length of each side:

Cube 1 s= cubicroot(125) = 5

Area of a face = 5^2 = 25

Cube 2: s = cubicroot(343) = 7

Area of face = 7^2= 49

Difference = 49-25 = 14 square cm

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

the correct option is b

step-by-step explanation: