Sammy is trying to determine how many triangles she can create out of a square grid that has a side of 14 inches. Use the image
below to determine the area of the triangle and how many she can cut out.
The area of the triangle is 49 in2, so she can create only 2 triangles.
The area of the triangle is 49 in2, so she can create only 4 triangles.
The area of the triangle is 98 in2, so she can create only 2 triangles.
The area of the triangle is 98 in2, so she can create only 4 triangles
The area of the triangle is 49 in2, so she can create only 2 triangles.
The area of the triangle is 49 in2, so she can create only 4 triangles.
The area of the triangle is 98 in2, so she can create only 2 triangles.
The area of the triangle is 98 in2, so she can create only 4 triangles
1 answer:
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Answer:
The volume in such a package is 27648 in³
Step-by-step explanation:
Consider the provided information.
Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 144 in.
Let the dimension are x by x by y.
Where x is the variable for the square base package and y is the variable for length.
Thus l=x, b=x and h=y
Then the volume of the box is: (∵V=lbh)
The maximum combined length and girth is 144.
Therefore,
Substitute the value of y in volume of the box.
Substitute V'(x)=0.
Now apply second derivative test.
(Min)
(Max)
Hence, the maximum volume is at x=24
If x=24 then
Substituting value of x = 24 and y = 48 gives 27648.
Hence, the volume in such a package is 27648 in³