Question

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

Answer 1

no he is not correct

Step-by-step explanation 1 x 1 x 9 = 18. 18 x 40 = 360.

10 x 6 x 6 = 360. 360 = 360

Answer 2

He is wrong, of types of the box are equal

The volume of Ella’s box is 360 Cubic Inches

Explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

Given the information in the photo, we know dimension of the box

• Length=9 inch
• Width=1 inch
• Height=1 inch

=> the volume of the box is:

V = Length*Width*Height

<=> V =9*1*1

=9 Cubic Inches

=> Volume of the stack( of 40 candles)

=40*9

=360 Cubic Inches

Given the information in the photo, we know dimension of the Ella's box :

• Length=10 inch
• Width=6 inch
• Height=6 inch

=> the volume of the box is:

V = Length*Width*Height

<=> V =10*6*6

= 360 Cubic Inches

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.

He is wrong, of types of the box are equal

The volume of Ella’s box is 360 Cubic Inches