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olya-2409 [2.1K]
3 years ago
15

The cube shaped box is 6 inches wide and the rectangular box is 10 inches long 4 inches wide and 4 inches high. How much greater

is the volume of the cube shaped box than the rectangular box?
Mathematics
1 answer:
nasty-shy [4]3 years ago
3 0

Answer:

Formula of the volume for a cube= s^3 (side, length, width, or edge is acceptable for s)

Formula of the volume for a rectangular prism= lwh (length*width*height)

<u><em>= 50 cubic in. more</em></u>

Step-by-step explanation:

cube: 6^3

6x6x6

36x6

216

rectangular prism: 10x4x4

10x16

160

cube - rectangular prism= Difference between cube and rectangular prism

216   -   160                      =  50

<em>*REMEMBER that when dealing with volume the units are cubic (whatever), in this case, its cubic inches(in^3).</em>

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valentina_108 [34]

By comparing all the options with the formula of sum of cubes and difference of cubes we get that  (x+4)\left(x^{2}-4 x+16\right)  is sum of cubes

<h3>What is formula of sum of cubes and difference of cubes?</h3>

Formula of sum of cubes and difference of cubes are following

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

(a)

(x-4) \left(x^{2}+4 x-16\right)\\=(x-4) \left(x^{2}+4 x-4^2\right)\\\\

by comparison with formula we can say that this is neither sum or nor difference of cubes.

(b)

(x-1)\left(x^{2}-x+1\right)\\=(x-1)\left(x^{2}-x+1^2\right)

by comparison with formula we can say that this is neither sum nor difference of cubes.

(c)

(x+1)(x-1)=x^{2}-1^{2}\\

we can say that this is neither sum  nor difference of cube as it's difference of squares.

(d)

(x+4)\left(x^{2}-4 x+16\right)\\\\(x+4)\left(x^{2}-4 x+4^2\right)

by comparison with formula this is equal to

x^{3}+4^{3}\\

Hence this is sum of cubes

(e)

(x+4)\left(x^{2}+4 x+16\right)\\(x+4)\left(x^{2}+4 x+4^2\right)

by comparison with formula we can say that this is neither sum  nor difference of cubes.

By comparing all the options with the formula of sum of cubes and difference of cubes we get that  (x+4)\left(x^{2}-4 x+16\right) is sum of cubes

To know more about cubes visit: brainly.com/question/107100

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2 years ago
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Answer:

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Step-by-step explanation:

You can result in Heads and one, Heads and two, Tails and one, or Tails and two. Hope this helps!

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