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Investigating the Most Economical Box, Exercises of Mathematics

An activity for students to construct open-top rectangular boxes, determine their volume and surface area, and decide on the most economical box. The activity involves cutting squares from the corners of an 8.5' x 11' graph paper, folding up the sides to form the boxes, and recording the dimensions, volume, and surface area of the resulting boxes. The goal is to help a student candy maker, mathy, make a sound decision on the most economical box to use for her open-top candy boxes. A table for students to record their findings and prompts them to identify the most economical box and explain their reasoning. This activity is likely designed to reinforce concepts related to surface area, volume, and optimization in a practical, real-world context, making it a valuable learning experience for students interested in mathematics, engineering, or product design.

Typology: Exercises

2022/2023

Uploaded on 05/02/2024

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Mariano Marcos State University
COLLEGE OF TEACHER EDUCATION
Laoag City
Name: ___________________________________ Date of Submission: ___________
Activity 15. Investigating the Most Economical Box
Objectives: a) To construct open-top rectangular boxes
b) To determine their volume and surface area
c) To decide on the most economical box
Materials: pair of scissors, tape or paste
Procedure:
Mathy, a determined student candy maker needs boxes with open tops.
With volume as basis, she has to decide which box will she prepare to be
most economical. Help Mathy make a sound decision.
1. Using 81/2" by 11" pieces of graph papers, perform an investigation
activity.
2. First cut squares in each corner. Fold up the sides to form open-
topped boxes. Tape the edges of the boxes. Identify the dimensions
of the cut square and the box produced.
3. Record the dimensions in the table below.
4. Compute the total surface area and volume of the box.
Side length of
squares cut from
the corners
Box length Box width Box height Box Volume Box Surface
Area
Which is the most economical box? Why?

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Mariano Marcos State University COLLEGE OF TEACHER EDUCATION Laoag City Name: ___________________________________ Date of Submission: ___________ Activity 15. Investigating the Most Economical Box Objectives: a) To construct open-top rectangular boxes b) To determine their volume and surface area c) To decide on the most economical box Materials: pair of scissors, tape or paste Procedure: Mathy, a determined student candy maker needs boxes with open tops. With volume as basis, she has to decide which box will she prepare to be most economical. Help Mathy make a sound decision.

  1. Using 81/2" by 11" pieces of graph papers, perform an investigation activity.
  2. First cut squares in each corner. Fold up the sides to form open- topped boxes. Tape the edges of the boxes. Identify the dimensions of the cut square and the box produced.
  3. Record the dimensions in the table below.
  4. Compute the total surface area and volume of the box. Side length of squares cut from the corners Box length Box width Box height Box Volume Box Surface Area Which is the most economical box? Why?