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Asked Feb 16, 2019
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8. Find the volume and surface area of the
figure. Assume that there are blocks you
cannot see if they are necessary for the
structure.
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8. Find the volume and surface area of the figure. Assume that there are blocks you cannot see if they are necessary for the structure.

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Expert Answer

Step 1

To study the given complex figure and determine its dimensions.

Step 2

Let us count the number of cubes that make up the given solid. Counting from the top  we get this number to be 1+3+6+12=22.

If each cube has side a,  the volume of the solid shown is 22a^3 cubic units.

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Step 3

For the surface area, only the visible sides contribute.

Again , we count the number of sides (each contributing an area a^2) from the top layer.

The topmost layer contributes 5 sides.

The second layer contributes 4+4+2=10 sides

The third layer c...

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