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Elden [556K]
3 years ago
12

What is the surface area of the right rectangular prism?

Mathematics
1 answer:
scoundrel [369]3 years ago
3 0
<h3>Answer:  Choice A) 252 in^2</h3>

=======================================================

Explanation:

Refer to the diagram below.

The red rectangle is 6 inches by 12 inches, so its area is 6*12 = 72 square inches. There are two of these rectangles (one on top, one on the bottom). That accounts for 2*72 = 144 square inches so far.

The purple rectangles are 3 inches by 12 inches, yielding an area of 3*12 = 36 square inches each. That's another 2*36 = 72 square inches when we account for the front and back purple rectangles.

The green rectangles are 6 inches by 3 inches. Each green rectangle is 6*3 = 18 square inches. Having two of them means we'll add on 2*18 = 36 square inches.

Overall, the entire surface area is the sum of all the areas we calculated: 144+72+36 = 252 square inches, which is choice A

-------------------------

Alternative Method:

  • L = 12 = length
  • W = 6 = width
  • H = 3 = height

SA = surface area of the rectangular prism

SA = 2*(L*W + L*H + W*H)

SA = 2*(12*6 + 12*3 + 6*3)

SA = 2*(72 + 36 + 18)

SA = 2*(126)

SA = 252 in^2

So we get the same answer either way

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Given parameters:

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Unknown:

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To solve this problem, we need to calculate the total length of the earring we want to make.

  Total earring length  = Perimeter of earring + length of earring hook

                                      = 3.2 + 3.2 + 2.1 + 1.5  

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Now the length of the wire is 45cm,

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The number of earrings that can be made is 4.

4 0
3 years ago
Find the value of x that makes p||q
padilas [110]

Answer:

1. x = 30

2. x = 39

Step-by-step explanation:

1.

4x and ( 3x + 30 ) are alternate exterior angles,

Alternate exterior angles are equal.

4x = 3x + 30

4x - 3x = 30

x = 30

2.

x and ( 3x + 24 ) are co - interior angles.

Sum of co - interior angles is 180,

x + 3x + 24 = 180

4x + 24 = 180

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4 0
2 years ago
What is the value of the expression 2 over 2 plus 4 over 2 divide by 2 over 2
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Answer: I got 3.

Step-by-step explanation:

4 0
3 years ago
A 12 gallon tank is filled with water at a rate of 1/4in 5 seconds. It will take ____ Minutes and ____ seconds to fill 5/6 of th
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Answer: It will take 0 minutes and 16 2/3 seconds to fill 5/6 of the tank.

I hope that's what you meant :)
5 0
4 years ago
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