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 ?

- anonymous

- jamiebookeater

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- anonymous

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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..

121

- anonymous

@ospreytriple I got 750.4

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## More answers

- anonymous

@halia according to the dimensions given, your decimal is in the wrong place.

- anonymous

75.04???

- anonymous

Don't guess. Calculate \(40 \times 28 \times 6.7\)

- anonymous

I did it on my calculator and it showed up as 7504

- anonymous

Correct. Well done.

- anonymous

So that's the volume ?

- anonymous

@ospreytriple now im asked to find the surface area can you help me out ?

- anonymous

Sure. How many surfaces does the box have?

- anonymous

6

- anonymous

Great. What shape are the surfaces?

- anonymous

@ospreytriple they are squares and rectangles

- 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

Um is it A=l*w*h ?

- 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

Yeah :)

- 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

Kk

- anonymous

@ospreytriple I plugged them in and I got 2240+536+375.2

- anonymous

Add them up and what do you get?

- anonymous

351.2 ft

- anonymous

No. Try again.

- anonymous

3151.2 ft squared

- anonymous

Excellent. Good job. That's your answer.

- anonymous

Thank you so much !!!!!!! @ospreytriple I really appreciated :)

- anonymous

You're welcome

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