Question

The volume of a cube is 8073 cm3.
Work out an estimate for its surface area

Answer 1

2414.42 cm^2

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 =
`\sqrt[3]{8073}`

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 2

Surface area is 2,400 cm²

Explanation:

• A cube has

6 sides, let s be the dimension of each side

`volume = side * side * side \\ v = {s}^(3) \\ 8073 = {s}^(3) \\ s = \sqrt[3]{8073} \\ s = 20 \: \: cm`

• Formular for surface area of a cube:

`area = 6(s * s) \\ \\ a = 6 {s}^(2) \\ a = 6( {20)}^(2) \\ a = 6 * 400 \\ \\ = { \underline{surface \: area \: \: is \: \: 2400 \: {cm}^(2) }}`