The volume of a cube is 1000cm^3. what is the length of an edge
1 answer:
You might be interested in
Answer:
x=2.125
y=0
C=19.125
Step-by-step explanation:
To solve this problem we can use a graphical method, we start first noticing the restrictions and
, which restricts the solution to be in the positive quadrant. Then we plot the first restriction
shown in purple, then we can plot the second one
shown in the second plot in green.
The intersection of all three restrictions is plotted in white on the third plot. The intersection points are also marked.
So restrictions intersect on (0,0), (0,1.7) and (2.215,0). Replacing these coordinates on the objective function we get C=0, C=11.9, and C=19.125 respectively. So The function is maximized at (2.215,0) with C=19.125.
5a) rotational symmetry is 2 because it can be rotated only 2 times before it turns to the original form.
b) perimeter is the total surface of all the sides so, because we are given a scale of 1 unit = 1cm then our measurements would be: 4cm + 3cm + 2cm + 1cm + 4cm + 3cm + 2cm + 1cm = 20cm.
c) To workout the area we need to divide the irregular shape into separate regular shapes<em>.</em><em> </em><em>the </em><em>diagram</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em><em>!</em><em> </em>Shape 1 is a rectangle so, area = L × W = 3 × 2 = 6cm. Shape 2 is a square so, area = side² = 2² = 4cm. Shape 3 is the same as shape 1 so the area is 6cm. Now to find the area of the whole shape we add these values so, 6+4+6= area of shape = 16cm.
d) <em>The</em><em> </em><em>dia</em><em>gram</em><em> </em><em>will</em><em> </em><em>show</em><em> </em><em>the</em><em> </em><em>answer</em><em>!</em>
