Question

The volume of a cube is less than 25, and the length of one of its edges is a positive integer. what is the largest possible value for the total area of the six faces?

Answer 1

if the edge has to be a positive integer along with the volume being less than 25, what are your choices for edge length? which is largest?
Now that you know the edge length, you can compute the area of one face of the cube and then multiply that by 6 to get the total surface area.

Answer 2

(A) 1
(B) 6
(C) 24
(D) 54
(E) 150

Answer 3

i dont really understand what youre saying

Answer 4

if the cube has an edge length of 1, then the volume is
\[1^{3}=1\]
if the edge is length 2 then the volume is \[2^{3}=8\]if the edge length is 3 then the volume is \[3^{3}=27\]
Need I go on?

Answer 5

no thank you ..

Answer 6

does it make sense?

Answer 7

kind of, not really...

Answer 8

cube implies all the sides are the same. the volume of a cube is length cubed. in your problem, the length has to be a positive integer: 1, 2, 3, ... but we know that the volume is less than 25.
Which side lengths will result in cube volumes that are less than 25?

Answer 9

2?

Answer 10

i got it ..thank u

Answer 11

which choice? just want to make sure you get it right.

Answer 12

c

Answer 13

very good!!! Nice job!

Answer 14

thanks for ur help

Answer 15

you're welcome!