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?
@UsukiDoll
I believe its 13 × 13 × 13
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?
yes
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 \[\large (4)^3 \]
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
uh oh... label matters volume of the cube = 4 ft x 4 ft x 4 ft (4ft)^3
3 so (13)
yes... it should be 13^3 but I forgot to mention that the label matters as well x:/
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.
so 13 ft x 13 ft x 13 ft = ?
13 to the power of 3
we got it right ... just remember the labels... (13 ft)^3
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.
3 13 13 3 13 × 13 × 13 13
so its the 2nd one
hmmmmm... yeah if it wants it in exponential form.
which is exactly what the question is asking.
its asking how would you write it
i believe were right
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
(: thank you
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