Question

Multiple Choice

Identify the choice that best completes the statement or answers the question,
The next three problems involve Milk Duds. A box of Milk Duds is shown below.
Milk Duds
C
1. If you tripled the length of a box of Milk Duds, how much longer would it be?
4 times longer
a
2 times longer
d.
3 times longer
b.
6 times longer
2. If you tripled all dimensions of the box of Milk Duds, how much more material would be needed to create the
new box (surface area).
C.
9 times more material
a.
18 times more material
d.
6 times more material
b.
3 times more material
If Hershey wanted to increase the size of their Milk Duds box to allow more candy per box, which version

Answer 1

1). Option (d)

2). Option (c)

3). Double the height

Explanation:

1). If we triple the length of a box of milk dude,

New length of the box will become 3 times the previous length.

Option (d) is correct.

2). Surface area of box 'S' = 2(lb + bh + hl)

Where l = length of the box

b = Width of the box

h = height of the box

If all of these dimensions are tripled,

Surface area of the box = 2[(3l)(3b) + (3b)(3h) + (3h)(3l)]

= 2(9)[lb + bh + hl]

= 9S

Therefore, 9 times material will be required.

Option (c) is correct

3). From the picture attached,

Width of the box is less than the height of the box.

Volume of a rectangular box = lbh

If we double the length of the given box, volume of the box will be more than doubling the width of the box.

In simpler words, more space to put the candies will be created if we double the length of the box.