Answer:
2414.42 cm^2
Step-by-step explanation:
volume = base x height
and we know that a cube will always have the same length for any side so volume is basically length^3
volume = length^3
8073 = x^3
x = [tex]\sqrt[3]{8073}[/tex]
use a calculator and you get that x = 20.06 cm
Surface area(SA) = 6a^2 (a is area)
a = x^2
so SA = 6(20.06)^2 = 2414.4216 ≈ 2414.42 cm^2
Answer:
Surface area is 2,400 cm²
Step-by-step explanation:
• A cube has
6 sides, let s be the dimension of each side
[tex]volume = side \times side \times side \\ v = {s}^{3} \\ 8073 = {s}^{3} \\ s = \sqrt[3]{8073} \\ s = 20 \: \: cm[/tex]
• Formular for surface area of a cube:
[tex]area = 6(s \times s) \\ \\ a = 6 {s}^{2} \\ a = 6( {20)}^{2} \\ a = 6 \times 400 \\ \\ = { \underline{surface \: area \: \: is \: \: 2400 \: {cm}^{2} }}[/tex]
