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Gekata [30.6K]
3 years ago
11

Eli made a wooden box in the shape of a rectangular prism. The box has a length of 5 inches, a width of 3 1/2 inches, and a heig

ht of 7 inches.
Part A. Eli wants to paint the entire box green and give the box to his dad as a gift. What is the total area that he will paint? Explain how you found your answer.
Part B. Can the box hold 22 cubic inches of packing peanuts? Explain how you know.
Mathematics
1 answer:
levacccp [35]3 years ago
4 0

Answer:

Total surface area = 154 in²

Step-by-step explanation:

The prism has a total of 6 surfaces:  top and bottom, 2 sides, and 2 ends.

We have to find the area of each top, side, end, and then add these together, and then multiply the result by 2 to finish the job.

Area of top:  (5 in)(3.5 in) = 17.5 in²

Area of side:  (5 in)(7 in) = 35 in²

Area of end:  (3.5 in)(7 in) = 24.5 in²

Now add these three results together and multiply the sum by 2:

2( 17.5 in² + 35 in² + 24.5 in²) = total surface area = 154 in²

To answer the other part of this question:  find the volume of this prism:

V = length · width · ht = (5 in)(3.5 in)(7 in) = 122 in³.  

Yes, this box can definitely hold 22 in³ of packing peanuts.

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4 years ago
The sum of three consecutive integers is 141. What is the smallest integer?
Sonja [21]

Answer:

The Consecutive number are 46 , 47 and 48 having sum as 141

The smallest number is 46

Step-by-step explanation:

• A consecutive numbers means number are in a sequence and are one after the another !

e.g. n , (n+1). Or 1 , 2 are consecutive numbers

• A consecutive even numbers differ by 2 because all even numbers are divisible by 2 !

• If the number is divisible by x we must had taken number as n , ( n + x ) ,

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Given ,the sum of numbers is 141

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