let's recall that a cube is just a rectangular prism with all equal sides, check picture below.
![\bf \textit{volume of a cube}\\\\ V=s^3~~ \begin{cases} s=&length~of\\ &a~side\\ \cline{1-2} V=&27000 \end{cases}\implies 27000=s^3\implies \sqrt[3]{27000}=s\implies 30=s \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cube}\\\\ SA=6s~~\begin{cases} s=&length~of\\ &a~side\\ \cline{1-2} s=&30 \end{cases}\implies SA=6(30)\implies SA=180](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20cube%7D%5C%5C%5C%5C%20V%3Ds%5E3~~%20%5Cbegin%7Bcases%7D%20s%3D%26length~of%5C%5C%20%26a~side%5C%5C%20%5Ccline%7B1-2%7D%20V%3D%2627000%20%5Cend%7Bcases%7D%5Cimplies%2027000%3Ds%5E3%5Cimplies%20%5Csqrt%5B3%5D%7B27000%7D%3Ds%5Cimplies%2030%3Ds%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ctextit%7Bsurface%20area%20of%20a%20cube%7D%5C%5C%5C%5C%20SA%3D6s~~%5Cbegin%7Bcases%7D%20s%3D%26length~of%5C%5C%20%26a~side%5C%5C%20%5Ccline%7B1-2%7D%20s%3D%2630%20%5Cend%7Bcases%7D%5Cimplies%20SA%3D6%2830%29%5Cimplies%20SA%3D180)
Answer:
$1.12
Step-by-step explanation:
One way to solve this problem is through an algebraic equation. Set up the equation like this,
. This equation works because 3.28 is subtracted from 10, which represents how much was spent in total. Then, this is equal to 6x, which represents the total cost of six keys.
So, to solve first subtract 3.28 from 10, this gives you 6.72. Then, divide both sides by 6. This equals 1.12, which is the cost of each key.
Answer:
A.The y-intercept of g(x) is less than the y-intercept of (x).
B.The x-intercept of g(x) is less than the x-intercept of f(x).
C. The y-intercept of g(x) is greater than the y-intercept of f(x).
D. The x-intercept of g(x) is greater than the x-intercept of Ax).
(A) I think
Step-by-step explanation:
Total surface area of the triangular prism is 81.6 square m.
Step-by-step explanation:
= 3 × 2.6 + 8.2 ×9
= 7.8 + 73.8
= 81.6
- Total surface area of the triangular prism is 81.6 square m.