The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.
2 answers:
Answer:
Surface area is found:
Surface Area = 1700 cm²
Step-by-step explanation:
(The cereal box is shown in the ATTACHMENT)
The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.
L = length = 20 cm
H = height = 30 cm
W = Width = 5 cm
<h3 /><h3>Side 1:</h3>A(1) = L×H
A(1) = 20×30
A(1) = 600 cm²
<h3>Side 2:</h3>As the measurements of the side at the back of side 1 has the same measurement of side 1. then:
A(2) = 600 cm²
<h3>Side 3:</h3>A(3) = L×W
A(3) = 20×5
A(3) = 100 cm²
<h3>Side 4:</h3>As the measurements of the side at the back of side 4 has the same measurement of side 4. then:
A(4) = 100 cm²
<h3>Side 5:</h3>A(5) = H×W
A(5) = 30×5
A(5) = 150 cm²
<h3>Side 6:</h3>As the measurements of the side at the back of side 5 has the same measurement of side 5. then:
A(6) = 150 cm²
<h3>Surface Area:</h3>Adding areas of all the sides
A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150
Surface Area = 1700 cm²
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Answer:
Step-by-step explanation:
<u>Mathematical Modeling</u>
To model a real-life situation, a mathematical model can be constructed in such a way it accurately represents the variables measured in the system.
This problem requires to build a model for the yearly cost of a small and successful business.
The first data is the fixed monthly cost or the money the owner must pay regardless of the number of employees he hires. This cost includes shipping supplies and products for $2,000. To operate for a full year, the fixed cost is 12*$2,000=$24,000.
The other component of the cost function is the variable cost of x employees. Given each employee costs $1,600 each month, having x employees cost 1,600x each month. For a full year, the variable cost will be
12*1,600x=19,200x.
We finally form the total cost function: