The volume of a cube is 2.744m square , find the length of one side of the cube.

The length of one side of the cube is 1.4 m

Step-by-step explanation:

we know that

In a cube the length, the width and the height is the same

so

The volume of a cube is

where

b is the length side of the cube

In this problem we have

substitute and solve for b

therefore

The length of one side of the cube is 1.4 m

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

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol