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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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kaheart [24]

Answer:

x=7149

Step-by-step explanation:

Let's solve your equation step-by-step.

5x=35745

Step 1: Divide both sides by 5.

5x/5 =35745/5

Answer:

x=7149

8 0
3 years ago
Help Plss <br>How many solutions do y=5-2x and 4x+2y = 10 have?​
tia_tia [17]

y=2x+5

2(2x+5)+4x=10

4x+10+4x=10

8x=20

So there's one solution, x=2.5

5 0
3 years ago
Korri plotted three vertices of a rectangle on a coordinate plain at (-3,3) (1.5,3), (-3, -21/2.) Wha t is the 4rth point of the
otez555 [7]

Answer:

(x_4,y_4) = (1.5,-2\frac{1}{2})

Step-by-step explanation:

Given

(x_1,y_1) = (-3,3)

(x_2,y_2) = (1.5,3)

(x_3,y_3)=(-3,-2\frac{1}{2})

Required

Determine the coordinate of the 4th point

From the given parameters, we can see that the rectangle is either horizontal or vertical.

This is because:

x_1 = x_3 = -3

and

y_1 = y_2 = 3

To calculate the fourth point, we simply make use of:

x_2 = x_4 and y_3 = y_4

Substitute 1.5 for x2 in x_2 = x_4

1.5= x_4

x_4=1.5

Substitute -2 1/2 for y3 in y_3= y_4

-2\frac{1}{2}= y_4

y_4 = -2\frac{1}{2}

Hence, the 4th point is:

(x_4,y_4) = (1.5,-2\frac{1}{2})

8 0
3 years ago
What is 5/9 in a decimals
NeTakaya
The answer would be, 0.55555555556

hope this helps :-)

8 0
4 years ago
Read 2 more answers
2. Find each product in lowest terms.
defon

\textsf {Part (a) :}

\implies \mathsf {\frac{3}{4} \times 1\frac{7}{9}}

\implies \mathsf {\frac{3}{4} \times \frac{16}{9}}

\implies \mathsf {\frac{4}{3} = 1\frac{1}{3}}

\textsf {Part (b) :}

\implies \mathsf {4\frac{4}{7} \times 3\frac{1}{4}}

\implies \mathsf {\frac{32}{7} \times \frac{13}{4}}

\implies \mathsf {\frac{104}{7} = 14\frac{6}{7}}

\textsf {Part (c) :}

\implies \mathsf {1\frac{7}{8} \times 2\frac{1}{4}}

\implies \mathsf {\frac{15}{8} \times \frac{9}{4}}

\implies \mathsf {\frac{135}{32} = 4\frac{7}{32}}

6 0
2 years ago
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