anonymous
  • anonymous
The largest box of popcorn in the USA measured 40ft long, 28 ft wide, and 6.7 ft high. It was filled with popcorn at Pittsville Elemantary in Wisconsin. How much popcorn filled the box ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
|dw:1439823750647:dw| The box is in the shape of a rectangular prism. You are asked to find the volume of the box. The formula for the volume of a rectangular prism is\[V = lwh\]The dimensions are all given in the question. Your answer will be in \(\text{ft}^3\), or cubic feet.
Trey..
  • Trey..
121
anonymous
  • anonymous
@ospreytriple I got 750.4

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More answers

anonymous
  • anonymous
@halia according to the dimensions given, your decimal is in the wrong place.
anonymous
  • anonymous
75.04???
anonymous
  • anonymous
Don't guess. Calculate \(40 \times 28 \times 6.7\)
anonymous
  • anonymous
I did it on my calculator and it showed up as 7504
anonymous
  • anonymous
Correct. Well done.
anonymous
  • anonymous
So that's the volume ?
anonymous
  • anonymous
@ospreytriple now im asked to find the surface area can you help me out ?
anonymous
  • anonymous
Sure. How many surfaces does the box have?
anonymous
  • anonymous
6
anonymous
  • anonymous
Great. What shape are the surfaces?
anonymous
  • anonymous
@ospreytriple they are squares and rectangles
anonymous
  • anonymous
Well, I don't think there are any squares, but they are 6 rectangles. Do you know how to calculate the area of a rectangle?
anonymous
  • anonymous
Um is it A=l*w*h ?
anonymous
  • anonymous
Not quite. Area of a rectangle is \(A=lw\). Now with your box, keep in mind that each pair of opposite surfaces are the same size, i.e. the front and back are the same, the left side and right side are the same, and the top and bottom are the same. Understand?
anonymous
  • anonymous
Yeah :)
anonymous
  • anonymous
OK. Using what's given and referring to the sketch, the front and back each have an area of \(l \times h\), the left and right sides each have an area of \(w \times h\), and the top and bottom each have an area of \(l \times w\). Putting all the sides together we get, for the surface area of a rectangular prism,\[SA = 2lw + 2lh + 2wh\]Plug in the values and solve.
anonymous
  • anonymous
Kk
anonymous
  • anonymous
@ospreytriple I plugged them in and I got 2240+536+375.2
anonymous
  • anonymous
Add them up and what do you get?
anonymous
  • anonymous
351.2 ft
anonymous
  • anonymous
No. Try again.
anonymous
  • anonymous
3151.2 ft squared
anonymous
  • anonymous
Excellent. Good job. That's your answer.
anonymous
  • anonymous
Thank you so much !!!!!!! @ospreytriple I really appreciated :)
anonymous
  • anonymous
You're welcome

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