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Nimfa-mama [501]
3 years ago
14

The base of a rectangular prism is a square. The height of the prism is half the length of one edge of the base. The volume of t

he rectangular prism is 13.5 cubic units. What are the dimensions of the prism?
Mathematics
1 answer:
ki77a [65]3 years ago
4 0

Answer:

The prism is 3 by 3 by 1.5.

Step-by-step explanation:

The prism has a length x and a width x. Since it is a square at the base both length and width are the same amount x. The height is "half the length of one edge of the base". Since the base is x, this makes it 1/2x.

The volume's prism is found using V = l*w*h. Substitute and simplify.

13.5 = x*x*1/2x

13.5 = 1/2 x^3

27 = x^3

3 = x

The prism is 3 by 3 by 1.5.

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Answer:

356

Step-by-step explanation:

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2 years ago
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Dafna11 [192]

Answer:

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7 0
2 years ago
What is 2.125 as a fraction?
Nuetrik [128]

2.125 = 17/8 = 21/8 as a fraction


Step by Step Solution

To convert the decimal 2.125 to a fraction follow these steps:


Step 1: Write down the number as a fraction of one:


2.125 = 2.125/1


Step 2: Multiply both top and bottom by 10 for every number after the decimal point:


As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,


2.125/1 = (2.125 x 1000)/(1 x 1000) = 2125/1000.


Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(2125,1000) = 125. So,


(2125÷125)/(1000÷125) = 17/8 when reduced to the simplest form.


As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 2125/1000 is also equal to 2 1/8 when expressed as a mixed number.


Hope that helps feel free to ask me questions

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5 0
3 years ago
Are these correct? If not which is a varying and constant rate?
RideAnS [48]

Answer:

I think its correct

Step-by-step explanation:

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5 0
3 years ago
Out of the 150 students at a summer camp, 72 signed up for canoeing. there were 23 students who signed up for trekking, and 13 o
True [87]

Answer:

Approximately 45% students signed up for neither canoeing or trekking.

Step-by-step explanation:

First we subtract the number of the students who signed up from the number of the total students to find the number of the students who did not signed up for either.

But there are 13 students who signed up canoeing and also for trekking.

Hence the number of students they signed up for activity is

72 + 23 - 13 = 82

And the number of students they not signed up for any activity is

150 - 82 = 68

so 68 students signed up neither for trekking nor canoeing. The percentage of those students are :

\frac{68}{150} × 100 = 45.3333%

Approximately 45% students signed up for neither canoeing or trekking.

8 0
2 years ago
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