Answer:
x = 
= ~4.689
Hope you find it useful, bro!
3*3*7. In other words, 3²*7.
Are you sure the question is correct? From a list of integers, if you pick one number, it's guaranteed to be an integer...
Surely there's a condition that you haven't mentioned?
First, let's calculate the triangles of the prism.
The area of a triangle is base times height, then divide by 2.
So:
(7*8)/2.
This would give us 28.
Also knowing that there are two triangles on the prism, we have to multiply 28 by 2. This would give us 56.
Now, for the rectangles, we have to find their areas.
The area of a rectangle is length times width. So this would give us:
8*16.
This equals 128.
Next, knowing that there are three rectangles, multiply 128 by three. This gives us 384.
Now, we jus have to add all the areas together:
384+56 = 440
So the prism's surface area is 440cm^2
Hope this helps. If you have any questions, please put them in the comments below.
The following can be deduced from the expressions
m ∠ D = 4 × m ∠ A
m ∠ B = 3 × m ∠ A-12
Please note that the sum of angles in a triangle is 180 degress. Therefore,
M∠ A + m ∠ B + m ∠ D = 180equation(3)
Substitute for equation 1 and 2 in equation 3 as shown below
m ∠ A + 3 × m ∠ A - 12^0 + 4 x m ∠ A =180^0
m ∠ A + 3 × m ∠ A + 4 x m ∠ A = 180^0+12^0
8m ∠ A = 192^0
m ∠ A= 192^0/8
m ∠ A=24^0
Substitute for m∠A= 24 in equation 1 and 2 as shown below
m ∠ D = 4 × m ∠ A
m ∠ D = 4 × 24^0
m ∠ D = 96^0
m ∠ B = 3 × mA - 12^0
m ∠ B = 3 × 24^0 - 12
m ∠ B = 72^0 - 12^0
,
∠= °
∠= °
∠= °
