SOLUTION: Question Find the total area of cardboard used in making a match box, complete with the sliding portion, 4 cm long, 2.5 cm wide and 1.2 cm deep (Please ignore the thickness of t

Question 41921: Question
Find the total area of cardboard used in making a match box, complete with the sliding portion, 4 cm long, 2.5 cm wide and 1.2 cm deep (Please ignore the thickness of the cardboard).
Please help to solve this.
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
The matchbox is a rectangular parallelopiped with dimensions 4 cm x 2.5 cm x 1.2 cm.
So the total surface area of the parallelopiped is 2(4x2.5 + 2.5x1.2 + 1.2x4) = 35.6 .

Now, the bottom and side walls of the match box has two sheets (one each for the sliding portion and the outer envelope) of cardboards, so additional area is (2x1.2x4 + 4x2.5) = 19.6 .

So total area of cardboard reqd. is (35.6 + 19.6) = 55.2 .

Well, I thought a figure will be more helpful. Here it is.

LAYOUT OF THE INNER PART

LAYOUT OF THE OUTER PART

The red lines are the fold marks.
RELATED QUESTIONS
Find the total area of cardboard used in making a match box, complete with the sliding... (answered by josgarithmetic)

find the total area of card board used in making a match box,complete with the sliding... (answered by Fombitz)

Four squares, each with sides 4 cm long, are cut from the corners of a rectangular piece... (answered by checkley77)

Sliding at 18 cm/min instead of 16 cm/min, a slug saves 25 seconds crossing a cabbage... (answered by josgarithmetic,ikleyn)

The area of a rectangular piece of cardboard is 1008 cm^2. If you cut a 4 cm square from... (answered by josgarithmetic)

The outside of a packing box is 30 cm long 20 cm wide and 15 cm high the cardboard... (answered by addingup)

A rectangular sheet of cardboard was used to make a pencil box. Four (4) small squares... (answered by josgarithmetic)

determined the total surface area of a box that is 20 cm wide 30 cm long and 40 cm tall (answered by mouk)

Sliding at 18 cm/min instead of just 16 cm/min, a slug saves 25 seconds crossing a... (answered by ikleyn)