Answer:
Answer: 216 cm2 (square centimetres 
, in your question you had to put cm3, cubic centimetres, it's IMPORTANT )
Step-by-step explanation:
A perfect cube by definition has 3 equal dimensions, as an immediate rule: volume and total surface are equal, only the unit of measure changes (cubic for the volume, square for surface).
But let's calculate it anyway:
Volume = Edge * Edge * Edge = length * width * depth = 
(remember: all edges are equal in this case)
so Edge = ![\sqrt[3]{Volume}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7BVolume%7D)
in your example Edge = ![\sqrt[3]{216}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216%7D)
= 6cm
So the surface of one side is 6*6 = 36
There are 6 sides in total, so the total surface is 6*36 = 216
Note: I call them "edges" but in case of a cube most say just "length"
Answer:
no solutions
Step-by-step explanation:
The lines are parallel since they have the same slope
y = mx+b where m is the slope
They have different y intercepts (b)
The will never intersect so they have no solutions
Answer:
Step-by-step explanation:
We are told that n = 3m + 6. Substitutte 3m + 6 for n in the second equation, obtaining:
(3m + 6) - 2m = 2, or 3m + 6 - 2m = 2.
Combining like terms yields
m = -4.
Knowing that m = -4 allows us to calculate n. Use the first equation, n = 3m + 6, for this purpose: n = 3(2) + 6 = 12.
Thus, the solution is (2, 12).
Answer:
Cynthia = 12 guavas
Bessy = 36 guavas
Aicel = 72 guavas
Step-by-step explanation:
Total guavas = 120
Let
Cynthia = x
Bessy = 3x
Aicel = 2(3x)
= 6x
x + 3x + 6x = 120
10x = 120
x = 120/10
x = 12
Cynthia = x
= 12 guavas
Bessy = 3x
= 3(12)
= 36 guavas
Aicel = 6x
= 6 × 12
= 72 guavas
Total = 74 + 36 + 12
= 120 guavas
