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>
Area=(1/2)bh
b=legnth of base
h=legnth of height
we are given
b=3 and 1/4
area=12 and 2/5
covert everybody to improper fraction
b=3 and 1/4=3+1/4=12/4+1/4=13/4
area=12 and 2/5=12+2/5=60/5+2/5=62/5
area=(1/2)bh
62/5=(1/2)(13/4)h
62/5=(13/8)h
times 8/13 both sides (13/8 times 8/13=104/104=1)
496/65=h
7 and 41/65 is answer
7 and 41/65 units or
496/65 units
Answer:
See attachment
Step-by-step explanation:
The perimeter of a rectangle is the sum of the lengths of all the sides of the rectangle, so it is given by:
where
L is the length
w is the width
In this problem, we want to find all the integer values of L and w such that the perimeter is 16 cm:
This means:
Or:
We have only 4 possible combinations:
L = 7 cm, w = 1 cm
L = 6 cm, w = 2 cm
L = 5 cm, w = 3 cm
L = 4 cm, w = 4 cm
The other combinations with L and w swapped are identical, so we don't include them; therefore, these are the only 4 possible combinations. The 4 possible rectangles are therefore draw in attachment.
The area of a pentagon is found through the following formula:
s is equal to the side length.
Plug 12 and 28 into the formula.
A(12) = 247.75
A(28) = 1348.85
Divide the first result by the second result.
≈
9/49 is equal to this decimal.
The answer is
9/49.
15² =225
20²= 400
225+400=625
25² =625
=> 15² +20² =25²
These three form a Pythagorean triplet..
And hence form a Right triangle with 25 as the hypostenuse....
Answer is option 4
Hope it helps...
Regards,
Leukonov/Olegion.