The formula for the area of a hexagon is
![A=\frac{3\sqrt[]{3}}{2}s^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B3%5Csqrt%5B%5D%7B3%7D%7D%7B2%7Ds%5E2)
where 's' is the length of one side of the regular hexagon.
The side of our regular hexagon is 2 feet, therefore, its area is
![\begin{gathered} A=\frac{3\sqrt[]{3}}{2}\cdot(2)^2=6\sqrt[]{3} \\ 6\sqrt[]{3}=10.3923048454\ldots\approx10 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3D%5Cfrac%7B3%5Csqrt%5B%5D%7B3%7D%7D%7B2%7D%5Ccdot%282%29%5E2%3D6%5Csqrt%5B%5D%7B3%7D%20%5C%5C%206%5Csqrt%5B%5D%7B3%7D%3D10.3923048454%5Cldots%5Capprox10%20%5Cend%7Bgathered%7D)
The exact area of the hexagon is 6√3 ft², which is approximately 10 ft².
Answer: 1540
Explanation: Just multiply or use a calculator. The prime factorization is all the prime factors, meaning you can multiply all of them to get the original number.
Answer:
12.5
Step-by-step explanation:
Solution:
<u>Note that:</u>
- Surface area: 2(LB) + 2(BH) + 2(LH)
<u>Substitute the values given into the expression to find the surface area.</u>
- 2(7 x 10) + 2(6 x 6) + 2(6 x 10)
- => 2(70) + 2(36) + 2(60)
- => 140 + 72 + 120
- => 332 mm²
The surface area of the rectangular prism is 332 mm².
