Question

Please help need quickly

Answer 1

The answer for number 1 is 1.72. The answer for number 2 is 4.83.

So for number one, the first thing you need to do is determine how many sides are on the first shape. Since it is a pentagon, and one pentagon has 5 sides, then you use the following formula to determine the volume of a
`V = \frac {1}{4} * \sqrt{5 * (5 +2 * \sqrt {5})} * (10)^(2) * 10` pentagon:
`\alpha = (1)/(4) * \sqrt[]{5(5+2 \sqrt[]{5}) \alpha ^(2) }` And in this case, the area would be 1.72, because if you insert the side lengths, the equation would look like this:
`V = \frac {1}{4} * \sqrt{5 * (5 +2 * \sqrt {5})} * (10)^(2) * 10` , which if you solve this equation, then you will end up with the answer of 1.72.

For number two, the first thing you need to do is determine how many sides are on the second shape. Since it is an octagon, and the prefix oct means 8, the number of sides on the shape is 8. If the perimeter is 64, and there are 8 sides, you can divide 64 by 8 to get 8. The equation to solve for the area should look like this:
`V = 2(1 + √(2)) * s^(2) * h`. Now all you need to do is insert the side lengths to the proper places. It should then look like this:
`V = 2(1 + √(2)) * 8^(2) * 8`, after you solve the equation, you should end up with 4.83.