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sergey [27]
3 years ago
7

1. The height of a right triangular prism is 1 5/6 inches. Each side of the triangular base measures 10 inches, and the height o

f the base is 8 2/3 inches. The triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube.
What is the surface area of the solid formed?
Mathematics
1 answer:
dem82 [27]3 years ago
8 0

If the height of a right triangular prism is 1 5/6 inches. The surface area of the solid formed is: 598.33 in².

<h3>Surface area</h3>

First step

Right triangular prism=1 5/6 inches= 11/6 inches

Height of the base=8 2/3 inches = 26/3 inches

Second step

Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)

Surface area = 5(100) +43.33+ 3(18.33)

Surface area = 500) +43.33 + 55

Surface area = 598.33 in²

Therefore the surface area of the solid formed is about 598.33 in²

Learn more about surface area here:brainly.com/question/27232541

#SPJ1

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Answer:

Step-by-step explanation:

Here is the corrected question and options:

Option 1:

7\frac{1}{3} , \frac{221}{30} , 7.36, 3.16\sqrt{2e}

Option 2:

7\frac{1}{3} , 7.36 , \frac{221}{30} , 3.16\sqrt{2e}

Option 3:

3.16\sqrt{2e}, 7.36 , \frac{221}{30} , 7\frac{1}{3}

Option 4:

3.16\sqrt{2e},  \frac{221}{30} , 7.36 , 7\frac{1}{3}

Solution:

Lets write each of the above given numbers in a simplified form:

7\frac{1}{3}

Simplify this by converting it into a decimal form:

This becomes:

(3*7+1) / 3 = (21 + 1) / 3 = 22/3 = 7.333333

So

7\frac{1}{3} = 7.3

\frac{221}{30}

Simplify this by converting it into a decimal form:

This becomes:

221/30 = 7.3666666667

So,

\frac{221}{30} = 7.367

7.36

This number comes with a bar sign on .36 which means that the number has a non terminating repeating decimal expansion as 7.3636363636...

So after rounding it off this becomes:

7.36

3.16\sqrt{2e}

Simplify this by converting it into a decimal form:

The value of e = 2.718

This becomes:

3.16 \sqrt{2*2.718}

= 3.16 (√5.436)

= 3.16 * 2.331523

=  7.3679949818

= 7.368

So

3.16\sqrt{2e} = 7.368

7.367995

Now we get the numbers in decimal form:

7\frac{1}{3} = 7.333333 = 7.3

\frac{221}{30} = 7.3666666667 = 7.367

7.36 = 7.3636363636

3.16\sqrt{2e} = 7.3679949818 = 7.368

Now lets order the numbers from greatest to least:

3.16\sqrt{2e}

\frac{221}{30}

7.36

7\frac{1}{3}

So the correct option is:

Option 4

3.16\sqrt{2e},  \frac{221}{30} , 7.36 , 7\frac{1}{3}  

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