Answer:
LWH each = 7.09cm
Step-by-step explanation:
Area of a cylinder
A = 2πrh+2πr2
A = 2π x 4 x 8 = 32 x 2π + 2π x 16
A = 301.59cm^2
To find the multiplier for a cube the same area you take the 1st shape area and square root it square root again and add the square root of each so that the measures are (1/3 - 1/100) of the last measure in length.Remember we only need to square 3 values and sum the last two values before dividing by 3.
√301.59 = √ + 17.3663467661 = √ + 4.1672948979
= 17.3663467661 + 4.1672948979 = 21.533641664/3 =7.17788055467
- Length/100 = 8/100 =0.08
7.17788055467 -0.08 =7.09788055467
This helps us find the measures of the cube at 7.09cm
Area of a cube = 7.09 x 7.09 x 6 = 301cm^2 and match that of the cylinder.