Question

Complete the following for a rectangular prism

Answer 1

Width :
`8cm`

Surface Area :
`272cm^2`

Explanation:

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

`V=whl`

Plug the values we know into the equation.

`192=w*2*12 \\ \\ 192=24w \\ \\ w=8`

So the width is 8cm.

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

`A=2(wl+hl+hw)`

Plug in the values we know into the equation.

`A=2(16+24+96) \\ \\ A=2*136 \\ \\ A=272`

So the surface area is
`272cm^2`.

Answer 2

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