The dimensions of the closed rectangular box are 14 by 14 by 14
Step-by-step explanation:
Volume of the box will be : l×w×h but l=w,hence volume= w²h
Area of the box is : 2w² + 4hw
Volume,v=w²h=2744----------find height,h
h=2744/w²-------------use this height in the area equation as;
Area=2w²+4hw

Minimizing the area
![dA/dw=4w-10976/w^2\\\\\\4w-10976/w^2=0\\\\\\4w^3-10976=0\\\\4w^3=10976\\\\w^3=2744\\\\w=\sqrt[3]{2744}\\ \\\\w=14](https://tex.z-dn.net/?f=dA%2Fdw%3D4w-10976%2Fw%5E2%5C%5C%5C%5C%5C%5C4w-10976%2Fw%5E2%3D0%5C%5C%5C%5C%5C%5C4w%5E3-10976%3D0%5C%5C%5C%5C4w%5E3%3D10976%5C%5C%5C%5Cw%5E3%3D2744%5C%5C%5C%5Cw%3D%5Csqrt%5B3%5D%7B2744%7D%5C%5C%20%5C%5C%5C%5Cw%3D14)
w=15,to find the height use h=2744/w²
h=2744/14²
h=14
Learn More
Volume of a rectangular box :brainly.com/question/1414246
Keywords : volume
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Add 2
3p = -3
Divide by 3
p = -1
Answer:
The answer is the option C

Step-by-step explanation:
we know that
An isosceles triangle has two equal sides and two equal angles
The two equal angles are called the base angles, and the third angle is called the vertex angle
In this problem we have the isosceles triangle TIC
∠I=
-----> vertex angle
∠T=∠C -----> base angles
Remember that the sum of the internal angles of a triangle is equal to 
so
∠I+∠T+∠C=
∠I+2∠T=
Substitute
+2∠T=
Solve for angle T
2∠T=
∠T=
∠T=
Answer: 1298 square feet
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Work Shown:
Area of Rectangle on the Left = length*width = c*d = 24*20 = 480
Area of Rectangle in the center = length*width = c*b = 24*10 = 240
Area of Rectangle on the Right = length*width = c*e = 24*17 = 408
Area of top triangle = (base*height)/2 = b*a/2 = 10*17/2 = 170/2 = 85
Area of bottom triangle = (base*height)/2 = b*a/2 = 10*17/2 = 170/2 = 85
Add up the individual areas to get:
480+240+408+85+85 = 1298
The units are in square feet since this is dealing with area.