Answer:
75 square feet
Step-by-step explanation:
The aquarium is designed to hold 62.5cubic feet
Since the aquarium has a square base, assume the aquaruim is a square prism
Let X be the lenght
Let y be the height
x^2.y = 62.5
y = 62.5x^2
The area of each side of the aquarium is xy. Since there are four sides, the total area of the side= 4xy
The area of the bottom of the aquarium = x^2
Total surface area = 4xy + x^2
Put y = 62.5/x^2 into the total surface area equation
A = 4x(62.5/x^2) + x^2
A= 250/x + x^2
Differentiate A with respect to x
dA/dx = -250(x^-2) + 2x
dA/dx = 0
0 = 2x - 250x^-2
2x = 250x^-2
2x =250/ x^2
2x^3 = 250
x^3 = 250/2
x^3 = 125
x = cbrt (125)
x = 5
Put x= 5 into A = x^2 + 250x^-1
A= 5^2 + 250(5^-1)
A= 25 + 250/5
A = 25 + 50
A = 75 square feet
Answer:
84.85
Step-by-step explanation:
1.5[3(14.5+7)-3]-7.4
1.5[3*21.5-3]-7.4
1.5*61.5-7.4
=84.85
Answer:
where is the questin
Step-by-step explanation:
The volume of the pyramid with the given length, width and height is 165in³.
<h3>What is the volume of the pyramid?</h3>
The volume of a right rectangular pyramid is expressed as;
V = ( L × W × H ) / 3
Given that;
- Length L = 11in
- Width W = 9in
- Height H = 5in
We substitute into the equation above.
V = ( L × W × H ) / 3
V = ( 11in × 9in × 5in ) / 3
V = 495in³ / 3
V = 165in³
The volume of the pyramid with the given length, width and height is 165in³.
Learn more about volume of pyramid here: brainly.com/question/17615619
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Answer:
61
Step-by-step explanation:
52 + 12 = 64
64-3 that left is 62 cars in the parking lot
