Question
Kelly glues unit cubes together by matching a
another
box has a bottom made of
number of cubes used to create this box?
another
box has a bottom made of
number of cubes used to create this box?
Ask by Pope Macdonald. in the United States
Jan 05,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The box uses a total of 17 unit cubes.
Solution
To determine the total number of unit cubes used to create Kelly’s open-top box, let’s break down the construction assuming a typical open-top rectangular box structure.
-
Bottom Layer:
- The bottom of the box is made up of a layer of
unit cubes. Suppose the bottom is a grid. This layer would consist of:
- The bottom of the box is made up of a layer of
-
Walls:
- Since the box is open-top, we need to add the walls around the perimeter. Each wall would be one unit high. For a
base, each of the four sides would require 2 additional unit cubes (excluding the corners which are already part of the bottom layer):
- Since the box is open-top, we need to add the walls around the perimeter. Each wall would be one unit high. For a
-
Total Count:
- Adding the bottom layer and the walls together:
- Adding the bottom layer and the walls together:
Therefore, the total number of unit cubes used to create the open-top box is 17.
Answer: 17
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Bonus Knowledge
To calculate the total number of unit cubes used to create the open-top box, we first need to determine the dimensions of the box. Let’s say the box’s base has dimensions
The base of the box consists of
Thus, the total volume (or the total number of unit cubes) in an open-top box can be calculated using the formula:
This can be simplified to:
Once you know the dimensions of the box, substitute
Do you have specific dimensions for the box? If so, plug those values into the equation, and you’ll get your answer!
