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.

Answer 1

1. 360 cubic inches

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

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

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.