The measurements that will be dragged into the box is 1.4 feet, 1.31 feet, 1.44 feet.
The rest of the measurement wouldn't be within the bounds and thus will not be dragged in.
The volume of a cube with side length equal to x, is

,
thus, the volume of a cube shaped box, whose side length is (5a+4b) is :

,
The volume is already expressed in terms of a and b, but we can expand the expression

, as follows:
![(5a+4b)^{3} =(5a+4b)(5a+4b)^{2}= (5a+4b)[ (5a)^{2}+2(5a)(4b)+ (4b)^{2}]](https://tex.z-dn.net/?f=%285a%2B4b%29%5E%7B3%7D%20%3D%285a%2B4b%29%285a%2B4b%29%5E%7B2%7D%3D%20%285a%2B4b%29%5B%20%285a%29%5E%7B2%7D%2B2%285a%29%284b%29%2B%20%284b%29%5E%7B2%7D%5D)
![=(5a+4b)[ 25a^{2}+40ab+ 16b^{2}]](https://tex.z-dn.net/?f=%3D%285a%2B4b%29%5B%2025a%5E%7B2%7D%2B40ab%2B%2016b%5E%7B2%7D%5D)
![=(5a)[ 25a^{2}+40ab+ 16b^{2}]+(4b)[ 25a^{2}+40ab+ 16b^{2}]](https://tex.z-dn.net/?f=%3D%285a%29%5B%2025a%5E%7B2%7D%2B40ab%2B%2016b%5E%7B2%7D%5D%2B%284b%29%5B%2025a%5E%7B2%7D%2B40ab%2B%2016b%5E%7B2%7D%5D)


Answer:

,
or
Y = kx
14 = 8k
k = 7/4
y = 7/4x
The equivalent algebraic monomial expression of the expression given as (-8a^5b)(3ab^4) is -24a^6b^5
<h3>How to determine an equivalent algebraic monomial expression?</h3>
The expression is given as:
(-8a^5b)(3ab^4)
Multiply -8 and 3
So, we have:
(-8a^5b)(3ab^4) = (-24a^5b)(ab^4)
Multiply a^5 and a (a^5 * a = a^6)
So, we have:
(-8a^5b)(3ab^4) = (-24a^6b)(b^4)
Multiply b and b^4
So, we have:
(-8a^5b)(3ab^4) = -24a^6b^5
Hence, the equivalent algebraic monomial expression of the expression given as (-8a^5b)(3ab^4) is -24a^6b^5
Read more about expressions at:
brainly.com/question/723406
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