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White raven [17]
4 years ago
7

What is the volume of this right triangular prism?

Mathematics
2 answers:
Drupady [299]4 years ago
7 0
The volume =0.5* Length * width * height
                     = 0.5* 7 *4* 10.3 =144.2 cm3
Dominik [7]4 years ago
3 0

The volume of the given right triangular prism can be found by first calculating the area of the right triangle and then multiplying it with the length of the prism.

Let us find the area of the right triangle. As can be seen from the diagram the height, h of the right triangle is 7 cm and the base, b of the right triangle is 4 cm.

Therefore, the area of the triangle is:

Area=\frac{1}{2}\times b\times h=\frac{1}{2}\times 4\times 7=14 cm^2

Thus, the volume of the right triangular prism will be:

Volume=Area x Length of the prism

Volume=14\times 10.3=144.2 cm^3

Thus, out of the given options, option A is the correct option.

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3/5 of a certain class left on a field trip. 1/3 of the students who stayed behind did not want to go on the field trip (all the
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11/15

Step-by-step explanation:

In this kind of problem, it is cool to always have a value for the total number of students. We can choose any arbitrary value for this. So let’s say the total number of students is 120.

Now we were told 3/5 left for the field trip. The number that left corresponds to 3/5 of 120 = 72 students. The number that didn’t go on the field trip is thus 120 - 72 = 48 students.

Now what do we know again? 1/3 of those who stayed behind didn’t want to go. The number that didn’t want to go is thus 1/3 of 48 = 16. The number that wanted to go but didn’t leave with the first batch is thus 48 - 16 = 32

Now, a bus came along and half of those who wanted to go but were left behind joined. This is equal to a value of 1/2 * 32 = 16

Now the question is what fraction of the class left for the field trip. All we need do is add the first batch to the second batch and divide the result by the total number of students. The addition of both yields = 72 + 16 = 88 students.

The fraction that left was thus 88/120 = 11/15

8 0
4 years ago
What is a 200% increase of 50<br>​
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Answer:

50, percentage increased by 200% (percent) of its value = 150

Step-by-step explanation:

8 0
3 years ago
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