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anygoal [31]
3 years ago
8

Identify the volume of the composite figure, rounded to the nearest tenth. PLEASE HELP!!!

Mathematics
1 answer:
Anni [7]3 years ago
5 0

Answer:

The volume of the composite figure is:

  • <u>312 ft^3</u>

Step-by-step explanation:

To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.

<em>VOLUME OF THE CUBE. </em>

Finding the volume of a cube is actually simple, you only must follow the next formula:

  • Volume of a cube = base * height * width

So:

  • Volume of a cube = 6 ft * 6 ft * 6 ft
  • <u>Volume of a cube = 216 ft^3 </u>

<em>VOLUME OF THE PYRAMID. </em>

The volume of a pyramid with a square base is:

  • Volume of a pyramid = 1/3 B * h

Where:

<em>B = area of the base. </em>

<em>h = height. </em>

How you can remember, the area of a square is base * height, so B = 6 ft * 6 ft = 36 ft^2, now we can replace in the formula:

  • Volume of a pyramid = 1/3 36 ft^2 * 8 ft
  • <u>Volume of a pyramid = 96 ft^3 </u>

Finally, we add the volumes found:

  • Volume of the composite figure = 216 ft^3 + 96 ft^3
  • <u>Volume of the composite figure = 312 ft^3</u>
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