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you are making a rectangular box out of a 12 in by 8 in piece of cardboard. The box will be formed by making two slits on each corner and folding up the sides. A) Draw the  3D solids with the dimentions b) find the volume of the rectangular box c) Find the surface area.

Jan 15, 2021

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you are making a rectangular box out of a 12 in by 8 in piece of cardboard. The box will be formed by making two slits on each corner and folding up the sides. A) Draw the  3D solids with the dimentions b) find the volume of the rectangular box c) Find the surface area.

Hello Guest!

The slots are a long.

A)

You can do that yourself.

B)

$$V=(12\ in-2a)\cdot (8\ in-2a)\cdot a=96a\ in^2-24\ in\cdot a^2-16\ in\cdot a^2+4a^3$$

$$V=4a^3-40a^2\cdot in+96a\cdot in^2$$

C)

$$S=12\cdot 8\cdot \ in^2-4a^2$$

$$S=96\ in^2-4a^2$$

!

Jan 15, 2021
edited by asinus  Jan 15, 2021