A rectangular prism with a volume of 333 cubic units is filled with cubes with side lengths of \dfrac14
4
1

start fraction, 1, divided by, 4, end fraction unit.
How many \dfrac14
4
1

start fraction, 1, divided by, 4, end fraction unit cubes does it take to fill the prism?
192
Hint #11 / 5
The volume of the prism is \blueD33start color #11accd, 3, end color #11accd cubic units. This means the prism can be filled with \blueD{\text{three}}threestart color #11accd, start text, t, h, r, e, e, end text, end color #11accd 1\times1\times11×1×11, times, 1, times, 1 unit cubes.
Hint #22 / 5
How many cubes with \dfrac14
4
1

start fraction, 1, divided by, 4, end fraction-unit side lengths can fit in a cube with 111-unit side lengths?

Hint #33 / 5
There are 646464 cubes with \dfrac14
4
1

start fraction, 1, divided by, 4, end fraction-unit side lengths in 111 cubic unit.

Hint #44 / 5
Since the rectangular prism is made up of 333 cubic units, we would have 3\times643×643, times, 64 total cubes with \dfrac14
4
1

start fraction, 1, divided by, 4, end fraction-unit side lengths.
3\times64=1923×64=1923, times, 64, equals, 192
Hint #55 / 5
It takes 192192192 of the \dfrac14
4
1

start fraction, 1, divided by, 4, end fraction unit cubes to fill the prism.

4096 bacteria

step-by-step explanation:

the answer is thin because within context, the stanza concludes the and frail tone the people have toward each other, and the fact that it would be thin, makes the most sense compared to "pliable" or "not hard or firm to the touch". hope this , good luck.

step-by-step explanation:

can i have brainliest

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)