A cube has a volume of 27 cubic centimeters. What is its surface area ? Show all work below and be sure to use units in your answer. !!

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A≈54cm²

Step-by-step explanation:

54 cm²

Step-by-step explanation:

Since it's a cube all sides must be equal. So, the length of one side is equal to the cube root of the volume.

∛27 = 3

An area of one surface is 3² = 9

Since the area of all the surfaces of the cube are equal, we can say that the surface area of the cube is 9 x 6, because there are 6 faces on a cube.

9 x 6 = 54

So, this means that the surface area of the cube is 54 cm².

Before we solve for anything, let's assign variables for highlighters and gel pens. Highlighters can be 'h,' and gel pens can be 'g'.

We can make two equations from what we've been given so far. Since we know that Hernandez bought 18 pens, we know that:

h + g = 18

And since we know the cost of an individual gel pen and highlighter as well as the total price, we can make another equation:

3h + 2.50g = 50

We can simplify the first equation by keeping only one variable on one side:

h + g = 18
h = 18 - g

Now that we have a value for h, we can assign it to the second equation:

3h + 2.50g = 50
3(18 - g) + 2.50g = 50
54 - 3g + 2.50g = 50

Simplify:
-0.50g = -4
0.5g = 4
5g = 40
g = 8

Put this value into the equation we made earlier:

h = 18 - g
h = 18 - 8
h = 10

Hernandez bought 10 highlighters and 8 gel pens.