Erica wants to decorate a rectangular box by covering all the faces of the box, including the top and bottom, with 1-inch square
1 answer:
Answer:
142
Step-by-step explanation:
This is a Total Surface Area problem.
The box has 6 faces (sides): front, back, left, right, top, bottom. They are all rectangles. Area of a rectangle is length × width.
You find the area of each face and add them all up.
see image.
TSA = 15+15+21+21+35+35
= 30+42+70
= 142 sq inches
Erica needs 142 pieces of paper to decorate her box.
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<h2>Hello!</h2>
The answer is:
The correct option is:
D. 40 feet.
<h2>Why?</h2>To solve the problem and calculate the width of the river, we need to assume that the distance from A to B and the angle formed between that distance and the distance from A to the other point (C) is equal to 90°, meaning that we are working with a right triangle, also, we need to use the given angle which is equal to 34°. So, to solve the problem we can use the following trigonometric relation:
Where,
alpha is the given angle, 34°
Adjacent is the distance from A to B, which is equal to 60 feet.
Opposite is the distance from A to C which is also equal to the width of the river.
So, substituting and calculating we have:
Hence, we have that the correct option is:
D. 40 feet.
Have a nice day!