Surface Area Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

medium
A cube has surface area 150150 cm². Find the length of one edge.

Solution

  1. 1
    Use the cube surface area formula: SA=6s2SA = 6s^2.
  2. 2
    Substitute: 150=6s2150 = 6s^2, so s2=25s^2 = 25.
  3. 3
    Take the square root: s=5s = 5 cm.

Answer

s=5 cms = 5 \text{ cm}
Reverse surface-area problems work by isolating the squared side length first. For a cube, all six faces are congruent squares, so the formula stays simple.

About Surface Area

The total area of all the faces or surfaces that enclose a three-dimensional object, measured in square units.

Learn more about Surface Area →

More Surface Area Examples

Example 1 easy

Find the surface area of a rectangular prism with length [formula] cm, width [formula] cm, and heigh

Example 2 medium

Find the surface area of a cylinder with radius [formula] cm and height [formula] cm. Leave your ans

Example 3 easy

Find the surface area of a cube with side length [formula] cm.

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