From the information given about the square pyramid, the maximum base length of the building is 67.42 cm.
<h3>How do you determine the maximum side length?</h3>
We are given the following details are:
Base = b
Slant height (l) = 5b
The lateral surface area is calculated using:
L = 2bl
So, we have:
L = 2 * b * 5b
Evaluate the product
L = 10b²
The total surface area is calculated using:
T = L + b²
So, we have:
T = 10b² + b²
Evaluate the sum
T = 11b²
Recall that the maximum surface area is 50,000 square feet
So, we have:
11b² = 50000
Divide both sides by 11
b² = 50000/11
Taking the square root of both sides, we have
b = 67.42
Hence, the maximum base length of the building is 67.42 cm
Learn more about square pyramids at:
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Answer:
y= 3/5x
Step-by-step explanation:
1. 1/10
2. 3/5
3. 1/10
4. 1/6
5. 3/14
Tenemos que
la capacidad del frasco es igual a 3/8 de litro
cuatro litros y medio es igual a decir 4 1/2 litros----> (4*2+1)/2----> 9/2 litros
realizamos una regla de tres
si un frasco tiene capacidad para--------------> 3/8 litros
X frascos-----------------------------------------> para 9/2 litros
X=(9/2)/(3/8)--------> 72/6-----> 12 frascos
la respuesta es
12 frascos
Answer:
The volume of the carton is 5 1/3 cubic feet
Step-by-step explanation:
A carton has a length of 2 2/3 feet, width of 1 1/3 feet, and a height of 1 1/2.
The dimensions can be rewritten as
Length of carton =2 2/3 = 8/3 converting to improper fraction).
width of 1 1/3 feet = 4/3 feet
and a height of 1 1/2= 3/2 ,feet
volume of the carton = length of the carton × width of the carton × height of the carton
Volume of carton = 8/3 ×4/3 × 3/2
= 96/18 cubic feet
Converting to mixed fractions, we have
96/18= 5 1/3 cubic feet