Answer:
792.9 in²
Step-by-step Explanation:
Given:
Area of the base of the regular hexagonal prism box (B) = 85.3 in²
Each side length of hexagonal base (s) = 5.73 in
Height of prism box (h) = 18.10 in
Required:
Surface area of the wood used in making the hexagonal prism box
SOLUTION:
Surface area for any given regular prism can be calculated using the following formula: (Perimeter of Base × height of prism) + 2(Base Area)
Perimeter of the hexagonal base of the prism box = 6(5.73) (Note: hexagon has 6 sides.)
Perimeter of base = 34.38 in
Height = 18.10 in
Base area is already given as 85.3 in²
Surface area of the hexagonal prism box
<em>Surface area of the wood used in making the jewelry box ≈ 792.9 in²</em>
Answer:
x = 58°
Step-by-step explanation:
First, we need to find the green angle on the bottom left of the triangle.
We know that straight lines are supplementary, or equal 180 degrees, so we can say that 114° + a (a variable representing the measure of the angle) = 180°.
Equation:
114 + a = 180
Solve:
114 + a = 180
-114 -114
a = 66
Therefore, the value of the green angle is 66 degrees.
Now, we need to find the value of angle x.
We know that the sum of the angles in a triangle is 180 degrees.
So, 56° + 66° + x = 180°
Equation:
56 + 66 + x = 180
Add:
56 + 66 + x = 180
122 + x = 180
Subtract:
122 + x = 180
-122 -122
x = 58
Therefore, x is 58 degrees.
Answer:
I believe the answer is 6.12.
Step-by-step explanation:
I used a calculator