1. The Fold-N-Go box factory makes boxes that hold 1 candle. The boxes measure 1 3 1 3 9 inches. 9 in. 1 in. 1 in. The fac

Question

1. The Fold-N-Go box factory makes boxes that hold 1 candle. The boxes measure 1 3 1 3 9 inches.
9 in.
1 in. 1 in.
The factory owner makes a stack of 40 candle boxes. What is the volume of the stack? Show your work.
_______
2. The factory owner asks Ella to design a new box. The box is a rectangular prism. Ella’s design is shown below.
6 in.
6 in. 10 in.
The factory owner discovers that 36 candle boxes will fit in Ella’s new box. There is some space left over, but not enough for another candle box. He says that, because 36 , 40, the volume of Ella’s box must be less than the volume of the stack of 40 candle boxes.
a. Is the owner correct? What is the volume of Ella’s box? Show your work.
b. Suggest a way that the owner could cut up the candle boxes so he could use them to measure the volume of Ella’s box.

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Aaliyah 2 weeks 2021-10-01T14:43:02+00:00 1 Answer 0

Answers ( )

    0
    2021-10-01T14:44:03+00:00

    Answer:

    1. 360 cubic inches

    2.(a)360 Cubic Inches, the owner is wrong

    (b)6 in X 1 in X 1 in.

    Step-by-step explanation:

    1. Dimension of the box

    Length=9 inch

    Width=1 inch

    Height=1 inch

    Volume=LWH

    =9*1*1 =9 Cubic Inches

    Volume of the stack( of 40 candles)

    =40*9

    =360 Cubic Inches

    2. Dimensions of Ella’ Box are:

    Length=10 inch

    Width=6 inch

    Height=6 inch

    Volume=LWH

    =10*6*6

    =360 Cubic Inches

    (a)The owner is not correct. The Volume of Ella’s box is equal to the volume of the stack.

    (b)Since the Width of the box is 6 Inch, the owner could cut the boxes into dimensions of 6 inX1 inx1 in.

    It means each level will contain

    (6*10) candles.

    There will be 6 layers which equals the exact volume of Ella’s box.

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45:7+7-4:2-5:5*4+35:2 =? ( )