The Question says ‘ The value of the solids surface area is equal to the value of the solids volume. Find the value of x’ Please help I am really struggling on the Question!

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carlosego carlosego · Answer 1 · 2018-09-26T02:37:48+02:00

1. You have that the surface area is:

[tex]SA=2(5)(6)+2(5x)+2(6x)\\ SA=60+10x+12x\\ SA=60+22X[/tex]

2. The volume is:

[tex]V=(6x)(5)\\ V=30x[/tex]

3. Based on the information given in the problem:

[tex]SA=V[/tex]

4. You need to substitute values and solve for [tex]x[/tex] :

[tex]22x+60=30x\\ x=7.5in[/tex]

The answer is: [tex]7.5in[/tex]

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FelisFelis FelisFelis · Answer 2 · 2019-09-25T12:27:06+02:00

Answer:

The value of x is 7.5 in.

Step-by-step explanation:

Consider the provided information.

Let the length of the box is x in, width 6 in and height is 5 in.

The Volume of the box is: [tex]length\times width\times height[/tex]

[tex]Volume=x\times 6\times 5[/tex]

[tex]Volume=30x[/tex]

The surface area of rectangle is:

SA = 2[(length×width)+(width×height)+(length×height)]

SA = 2[(6×x)+(6×5)+(x×5)]

SA = 2[6x+30+5x]

SA = 2[11x+30]

It is given that surface area is equal to the value of the solids volume.

30x = 2[11x+30]

15x = 11x+30

4x = 30

x = 30/4

x = 7.5

Hence, the value of x is 7.5 in.