Mathematics Knowledge

Surface Area

Yesterday I presented a question on surface area.

If a cube has a surface area of 54, what is the measure of one side?

Surface area is one of the many formulas that I remind my students to learn for the ASVAB.  Mathematics Knowledge is the section of the test that involves learning formulas for geometry.  I remind my students of the importance of knowing how to find perimeter, circumference, area, surface area, and volume.  Knowing the formulas makes a big difference in the score on the Mathematics Knowledge section of the test.  Today’s question asks about the surface area of a cube.  A cube is a square box.  All six sides have the same dimensions.

Do you know the formula for the surface area of a cube?

Surface area of a cube = 6 x side x side = 6s2

The total surface area is 54, and the formula is 6s2.

Next step is to divide by 6 to figure out what s2 equals.

54 divided by 6 = 9

s2 = 9

Take the square root of 9 to figure out the measure of one side of the cube.

The square root of 9 is 3.

One side of the cube measures 3.

Did you know how to solve this problem?