Stacy is covering the box below with sticky wrapping paper. If the paper cost 2 cents per square centimeter, how much will it cost to cover the entire box.
Answers
Given:
The shape of box is a right triangular prism.
Paper cost = 2 cents per square centimeter
To find:
The cost to cover the entire box.
Solution:
In the given right triangular prism, we have 3 rectangle surfaces and 2 triangular surfaces.
Area of a rectangle is
[tex]Area=length\times width[/tex]
Area of rectangle with length 4 cm and width 3 cm is
[tex]A_1=4\times 3=12\text{ cm}^2[/tex]
Area of rectangle with length 4 cm and width 4 cm is
[tex]A_2=4\times 4=16\text{ cm}^2[/tex]
Area of rectangle with length 4 cm and width 5 cm is
[tex]A_3=4\times 5=20\text{ cm}^2[/tex]
Area of a triangle is
[tex]Area=\dfrac{1}{2}\times base\times height[/tex]
Area of triangle with base 3 cm and height 4 cm is
[tex]A_4=\dfrac{1}{2}\times 3\times 4[/tex]
[tex]A_4=\dfrac{12}{2}[/tex]
[tex]A_4=6\text{ cm}^2[/tex]
Bottom and top triangular surfaces are equal.
[tex]A_5=A_4=6\text{ cm}^2[/tex]
Now, total surface area of the box is
[tex]A=A_1+A_2+A_3+A_4+A_5[/tex]
[tex]A=12+16+20+6+6[/tex]
[tex]A=60\text{ cm}^2[/tex]
Paper cost = 2 cents per square centimeter
Cost of 60 square centimeter paper is
[tex]60\times 2=120\text{ cents}[/tex]
Therefore, the cost to cover the entire box is 120 cents or $1.2.
Related Questions
In a right triangle, the length of one leg is 20 units. The length of the other leg is 12 units. What is the length of the hypotenuse?
Answers
The required measure of the hypotenuse length is √544. Option D is correct.
In a right triangle, the length of one leg is 20 units. The length of the other leg is 12 units.
What are Pythagorean triplets?In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.
Here,
Apply Pythagoras' theorem,
(hypotenuse)² = sum of the square of the legs,
(hypotenuse)² = 20² + 12²
(hypotenuse)² = 544
hypotenuse = √544
Thus, the required measure of the hypotenuse length is √544. Option D is correct.
Learn more about Pythagorean triplets here:
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Answer:
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Answers
Answer:
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Step-by-step explanation:
From the question, we are told that:
Chase caught 2/3 of the balls hit to left field.
Ryan caught 3/5 of the balls hit to right field.
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For Ryan
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Answer:
Step-by-step explanation:
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Answers
Answer:
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Given
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Answers
Answer:
192cm²
Step-by-step explanation:
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Answers
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Question 1
Review
Listen
Perry invested in property that cost him $1500. Five years later it was worth $3000, and 10
years from his original purchase, it was worth $6000. Assuming the growth rate remains the
same, which type of function could he create to find the value of his investment 30 years from
his original purchase?
1.
exponential function
2.
linear function
3.
quadratic function
4.
trigonometric function
Submit Answer
Answers
Answer:
Exponential
Step-by-step explanation: