Complete the following for a rectangular prism

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Sky7150 Sky7150 · Answer 1 · 2019-05-09T06:22:09+02:00

Width= 8 cm

Because 192 / 2 = 96 / 12 = 8

SA= (perimeter * height) + 2 (length * width)

SA= (20*12)+2(2*8)

SA= 240+32

SA= 272 cm2

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chikafujiwara chikafujiwara · Answer 2 · 2019-05-09T06:23:53+02:00

Answer:

Width : [tex]8cm[/tex]

Surface Area : [tex]272cm^2[/tex]

Step-by-step explanation:

Let's consider the formula for the volume of a rectangular prism.

[tex]V=whl[/tex]

Plug the values we know into the equation.

[tex]192=w*2*12 \\ \\ 192=24w \\ \\ w=8[/tex]

So the width is 8cm.

Now let's consider the formula for the surface area of a rectangular prism.

[tex]A=2(wl+hl+hw)[/tex]

Plug in the values we know into the equation.

[tex]A=2(16+24+96) \\ \\ A=2*136 \\ \\ A=272[/tex]

So the surface area is [tex]272cm^2[/tex].