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GrogVix [38]
2 years ago
14

Select the correct answer.

Mathematics
1 answer:
Elena L [17]2 years ago
8 0

Answer:

b because first u need to remove the parentheses then u disturbe

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Brainliest pls help
Airida [17]
<h3>Volume:</h3>

With this prism, first separate it into a rectangular prism and a right triangle prism.

First, with the rectangular prism, it would have the units 5 * 5 * 6.3. Then with the right triangle prism, it would take the rest of the remaining space of it, being 3 * 5 * 6.3

The equation for the volume of a rectangular prism is L*W*H and the equation for the volume of a right triangle prism is (L*W*H) / 2.

With this, plug the numbers in for both prisms to get the volume of each of them:

<u>Rectangular prism Volume</u>

5*5*6.3

<em>157.5</em>

<u>Right triangle prism Volume</u>

(3*5*6.3) / 2

94.5 / 2

<em>47.25</em>

Lastly, combine these two values to get the total volume:

157.5 + 47.25 = 204.75 (Round Up) -->

<em><u>204.8 cm^3 = Total Volume </u></em>

<h3>Surface Area:</h3>

Next, with the surface area of the prism. For this, lets combine all of the faces of the prism then add them all up.

First, lets do the bottom of the prism, or the base. It uses the lengths 8 cm and 6.3 cm. Lets do L * W to get the area of this face:

8 * 6.3 = 50.4

Next, lets do the slant side of it, which has the lengths 5.8 and 6.3.

5.8 * 6.3 = 36.54

Then, the top side with the lengths 5cm and 6.3 cm.

5.3 * 6.3 = 33.39

After that, the left side face that opposite to the slantly one:

5 * 6.3 = 31.5

Saving the most tedious part of it for last, the right trapezoids. Luckily, there is an equation for this:

<em>1/2 x (Sum of parallel sides) x (perpendicular distance between the parallel sides).</em>

<em>So, within each of these right </em>trapezoids, there's the parallel sides of 5 and 8. There's also a perpendicular side of 5cm. With this, we can plug this into the equation to solve for this part:

1/2 x (5+8) * (5)

1/2 x (13) * (5)

1/2 x (65)

32.5

Since there's two of them, times this by 2:

32.5 * 2 ---> 65.

Now, with the area of all of the faces, these can be added up for the total surface area:

50.4 + 36.54 + 33.39 + 31.5 + 65 ---> 216.83 (Round Down)-->

<u><em>216.8 cm^2 = Total Surface Area</em></u>

<em />

8 0
2 years ago
What is 400 turned into a decimal??
kompoz [17]
This is invisible math but a whole bumber cant be converted to a decimal because if you were to see the whoole thing it would be 400.0
3 0
3 years ago
Solve the system! <br> - 3x + 3y = 4<br> y=x+3<br> What is the solution?
STatiana [176]

Answer:

This system has no solution

Step-by-step explanation:

If this is the real question,it has no solution

3 0
1 year ago
Please help on this one!! I need it in ASAP :(
lisov135 [29]

Answer:

Hey there! here's your answer

Step-by-step explanation:

Speed = distance/Time

Speed = 3/5 ÷ 1/2

Speed = 3/5 * 2

Speed = 6/5 mph or 1.2 mph.

5 0
2 years ago
Read 2 more answers
Joel earns 1500 per month. if he spends 375 on rent each month what percent of his income does he has
Harman [31]
He still has 75% of his income left because 1500/375=4 so he spent 1/4 of his check and has 3/4 left.
8 0
3 years ago
Read 2 more answers
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