06.08.2020

A rectangular piece of tin has an area of 1056 square inches. A square of 3 inches is cut from each corner, and an open box is made by turning up the ends and sides. If the volume of the box is 2052 cubic inches, what were the original dimensions of the piece of tin. PLEASE SHOW WORK

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24.06.2023, solved by verified expert
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44 inches and 24 inches

Step-by-step explanation:

Let A rectangular piece of tin has an area of 1056, №17886627, 06.08.2020 20:49 denotes length and breadth of a rectangle.

A rectangular piece of tin has an area of 1056, №17886627, 06.08.2020 20:49

A square of 3 inches is cut from each corner, and an open box is made by turning up the ends and sides.

New length A rectangular piece of tin has an area of 1056, №17886627, 06.08.2020 20:49 inches

New breadth A rectangular piece of tin has an area of 1056, №17886627, 06.08.2020 20:49 inches

Height of box A rectangular piece of tin has an area of 1056, №17886627, 06.08.2020 20:49 inches

Volume of box = length × breadth × height

A rectangular piece of tin has an area of 1056, №17886627, 06.08.2020 20:49

A rectangular piece of tin has an area of 1056, №17886627, 06.08.2020 20:49

Put A rectangular piece of tin has an area of 1056, №17886627, 06.08.2020 20:49 in A rectangular piece of tin has an area of 1056, №17886627, 06.08.2020 20:49

A rectangular piece of tin has an area of 1056, №17886627, 06.08.2020 20:49

At A rectangular piece of tin has an area of 1056, №17886627, 06.08.2020 20:49 inches

At A rectangular piece of tin has an area of 1056, №17886627, 06.08.2020 20:49 inches

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Mathematics
Step-by-step answer
P Answered by PhD

44 inches and 24 inches

Step-by-step explanation:

Let l,b denotes length and breadth of a rectangle.

lb=1056

A square of 3 inches is cut from each corner, and an open box is made by turning up the ends and sides.

New length =l-6 inches

New breadth =b-6 inches

Height of box =3 inches

Volume of box = length × breadth × height

(l-6)(b-6)3=2052

lb-6l-6b+36=684\\6(l+b)=408\\l+b=68\\b=68-l

Put b=68-l in lb=1056

l(68-l)=1056\\l^2-68l+1056=0\\l^2-44l-24l+1056=0\\l(l-44)-24(l-44)=0\\(l-24)(l-44)=0\\l=24,44

At l=24,b=\frac{1056}{24}=44 inches

At l=44,b=\frac{1056}{44}=24 inches

Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

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