Let x =lenght, y = width, and z =height
<span>The volume of the box is equal to V = xyz </span>
<span>Subject to the surface area </span>
<span>S = 2xy + 2xz + 2yz = 64 </span>
<span>= 2(xy + xz + yz) </span>
<span>= 2[xy + x(64/xy) + y(64/xy)] </span>
<span>S(x,y)= 2(xy + 64/y + 64/x) </span>
<span>Then </span>
<span>Mx(x, y) = y = 64/x^2 </span>
<span>My(x, y) = x = 64/y^2 </span>
<span>y^2 = 64/x </span>
<span>(64/x^2)^2 = 64 </span>
<span>4096/x^4 = 64/x </span>
<span>x^3 = 4096/64 </span>
<span>x^3 = 64 </span>
<span>x = 4 </span>
<span>y = 64/x^2 </span>
<span>y = 4 </span>
<span>z= 64/yx </span>
<span>z= 64/16 </span>
<span>z = 4 </span>
<span>Therefor the dimensions are cube 4.</span>
Answer:
9
Step-by-step explanation:
set triangles as x and squares as y
x+3y=4x+y, now plug in 6 for each triangle
6+3y=4(6)+y, solve for the weight of the squares
3y-y=24-6
2y=18
y=9, each sqaure weighs 9 units
Answer:
There are 3 main types of algebraic expressions which include: Monomial Expression. Binomial Expression. Polynomial Expression.
Answer:
The dimensions of swimming pool are:
Length = 26.2 feet
Width = 16.3 feet
Height = 5 feet
During a few hot weeks during the summer, some water evaporates from the pool, and Jill needs to add 8 inches of water to the depth of the pool.
We will convert 8 inches o feet.
1 inch = 1/12 feet
So, 8 inch =
feet
Now we have to tell how much water will be there in 0.66 feet depth.
So, volume =
cubic feet.
1 cubic feet has 7.480 gallons
So, 281.86 cubic feet will have
gallons of water.
What is the arithmetic mean of the following numbers? 3, 5, 6, 7, 9, 6, 83,5,6,7,9,6,8
liubo4ka [24]
Answer:
oh wow that's giving me a headache, I dont understand