You are going to make a box out of cardboard. The box needs to measure 10 cm by 5 cm by 5 cm; 10% of the final product will be wasted in the cutting process. How much cardboard do you need?
Multiple choice answers are:
125 cm.
140 cm.
200 cm.
250 cm.
275 cm.
I'll be glad to check your answer.
surface area of a six sided box:
10x5*2+5x5*2+10x5*2
which is 250. So you need the excess added,
Amount-waste=250
.9amount=250
amount=about 278cm^2
check: 278*.9=250
I wonder if the box is supposed to have a lid, I put that in the calculations.
"10x5*2+5x5*2+10x5*2"
waste amount=25 (10% of 250)
250+25=275
alx is correct. it does say 25 percent of the final product, not as I read 25 percent of the material used...
To calculate how much cardboard you need, you first need to calculate the surface area of the box.
The surface area of a rectangular box is given by the formula:
2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the box respectively.
In this case, the box measures 10 cm by 5 cm by 5 cm, so plugging these values into the formula, we have:
2(10)(5) + 2(10)(5) + 2(5)(5) = 100 + 100 + 50 = 250 cm²
Now, we need to account for the 10% wastage in the cutting process. To do this, we need to add 10% of the surface area to the total surface area.
10% of 250 cm² is 25 cm². Adding this to the total surface area, we have:
250 + 25 = 275 cm²
Therefore, you need 275 cm² of cardboard to make the box.
The correct answer is 275 cm.