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sergey [27]
3 years ago
15

A box with a square base and top is made with a cardboard that costs 0.3 cents per cm² . The base is double layered for reinforc

ement. If the total cost for material is fixed at 3.6 dollars, what is the dimensions of the box that maximizes the volume? Enter the exact values (i.e., no approximation).
Mathematics
1 answer:
stich3 [128]3 years ago
5 0

Answer:

Length = 10 cm

Width = 10 cm

Height = 12 cm

Step-by-step explanation:

Cost of a cardboard with a square base and top = 0.3 cents per cm²

0.3 cents = $0.003 (0.3/100)

Total cost for material = $3.6

The volume of the box = $3.6/$0.003 = 1,200cm³

The formula for volume = length × width × height.

Since the base and top are square, the length and width must have equal sizes.

Let us assume that

length = 10cm

width = 10cm

these will give an area of 100cm².

Volume = length * width * height

= Area * height

= 10 * 10 * height

= 100cm² * height

Therefore, the height will be the volume divided by area

= 1,200cm³/100cm²

= 12cm

Volume = 10 * 10 * 12

= 1,200cm³

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Veronika [31]

Answer:

yes.

Step-by-step explanation:

if you plug 7 into x it'll be 3x7 and that will equal 21

4 0
3 years ago
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Tamsen pays $12.50 of her monthly life insurance premium, and her
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Michael has a substantial student debt, but he recently got a new job, which came with a signing bonus. He calculates that with
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Answer:

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Step-by-step explanation:

Given the question :

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Since Michael has decided to dedicate the entirety of his signing bonus towards paying his debt, then that is a constant and one-off payment.

Also, a fixed portion of his salary each month has also been assigned towards paying off his debt,

Then the amount paid from his salary after a certain number of months will be:

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7 0
3 years ago
kevin answered 54 out of 60 questions correct on his algebra quiz.what is his score as a percent ? round your answer to the near
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Step-by-step explanation:

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6 0
4 years ago
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Help with this I don't know how to solve please please please!!
likoan [24]

Answer:

212.5

Step-by-step explanation:

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