Question
Asked Dec 8, 2019
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Find the surface area and the volume of the rectangular parallelepiped.
cm2
7 cm
surface area =
volume = cm3
Ст3
12 cm
4 cm
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Find the surface area and the volume of the rectangular parallelepiped. cm2 7 cm surface area = volume = cm3 Ст3 12 cm 4 cm

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Expert Answer

Step 1

Let l, w, and h be the length, width and height of the rectangular parallelepiped respectively.

 From the figure,

The length, width and height of the rectangular parallelepiped is 4cm, 12cm, and 7cm respectively.

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Le., 1 = 4cm, w = 12 cm, and h=7cm

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Step 2

The formula for the surface area of the rectangular parallelepiped is S=2lw+2wh+2lh and the volume of the rectangular parallelepiped is V=lwh.

Substitute l=4cm, w=12 cm, and h=7cm, we get

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S =2(4)(12)+2(12)(7)+2(4)(7) = 96+168 + 56 S = 320 cm?

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Step 3

and

...
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V = 4(12)(7) V = 336 cm

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