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Mathematics 18 Online
OpenStudy (anonymous):

If the edge length of a cube is 13 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?

OpenStudy (anonymous):

@UsukiDoll

OpenStudy (anonymous):

I believe its 13 × 13 × 13

OpenStudy (usukidoll):

oh geez I haven't done this problem in years... but let me find the volume of the cube ok.. volume of the cube is side x side x side . A cube is a three-dimensional shape that has with equal width, height, and length measurements. so we're writing 13 three times right?

OpenStudy (anonymous):

yes

OpenStudy (usukidoll):

ok. I'll give an example say that we have cube of side 4. since volume of the cube = side x side x side then we have 4 x 4 x 4 or \[\large (4)^3 \]

OpenStudy (usukidoll):

that exponent number 3 means write 4 3 times 4 x 4 x 4 now try apply my example to the 13 x 13 x 13

OpenStudy (usukidoll):

uh oh... label matters volume of the cube = 4 ft x 4 ft x 4 ft (4ft)^3

OpenStudy (anonymous):

3 so (13)

OpenStudy (usukidoll):

yes... it should be 13^3 but I forgot to mention that the label matters as well x:/

OpenStudy (usukidoll):

so we need to apply the word "feet" or ft to this as well. we got it right, but if I remembered correctly, the label shouldn't be left behind.

OpenStudy (usukidoll):

so 13 ft x 13 ft x 13 ft = ?

OpenStudy (anonymous):

13 to the power of 3

OpenStudy (usukidoll):

we got it right ... just remember the labels... (13 ft)^3

OpenStudy (usukidoll):

lots of physics problems will make you convert first so that all units are the same, and we have to keep those labels...can't drop them.

OpenStudy (anonymous):

3 13 13 3 13 × 13 × 13 13

OpenStudy (anonymous):

so its the 2nd one

OpenStudy (usukidoll):

hmmmmm... yeah if it wants it in exponential form.

OpenStudy (usukidoll):

which is exactly what the question is asking.

OpenStudy (anonymous):

its asking how would you write it

OpenStudy (anonymous):

i believe were right

OpenStudy (usukidoll):

yes.. since putting it in exponential form we need the number 3 because that would mean writing 13 3 times (13)^3 = 13 x 13 x 13

OpenStudy (anonymous):

(: thank you

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