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Arisa [49]
3 years ago
14

A right rectangular prism has a length of 2 1/2 feet, a width of 3 feet,and a height of 1 1/2 feet. Unit cubes with side lengths

of 1/2 foot are added to completely fill the prism with no space remaining. What is the volume, in cubic feet, of the right rectangular prism
Mathematics
1 answer:
olga55 [171]3 years ago
6 0
As I think it is easy to answer the volume of prism I will also calculate no of small prism that can fit inside the larger one  
so volume = length * width * height
 volume of larger prism
 vp=45/4 ft^3 =11.25
 volume of small cubes
 vs=1/2*1/2*1/2
 vs=0.125 ft^3
 now numbers of cube that can fit
 n=vp/vs
 n= 11.25/.125
 n=90
 so 90 smaller cubes will completely fill in the prism
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Kayra and Mycho sell flowers on weekends to earn extra money.For every 2 flowers that Kayra sells,Mycho sells 5. If Kayra sold 6
andreyandreev [35.5K]

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We know that:

For every two flowers that Kayra sells, Mycho sells 5.

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There is no information about newspapers, so we can't answer anything.

If we had something like:

"If Kayra sold 6 flowers, how many did Mycho sell?"

Well, in this case, we remember that for every 2 flowers that Kayra sells, Mycho sells 5, then the first thing we need to do is count how many groups of 2 flowers we have in 6 flowers, this is:

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5 0
2 years ago
The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.
Tema [17]

Answer:

2 \frac{1}{16}

Step-by-step explanation:

The question state that;  the sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.

First, we need to interpret and represent this statement mathematically

Let n be the number.

The sum means 'addition'

1/6 of that number is  1/6 of n = 1/6 × n  = \frac{n}{6}

2 1/2 of that number is 2 1/2 of n = 2 1/2 × n  = 5/2 × n = \frac{5n}{2}

So the question says that, when we add; \frac{n}{6} ,  \frac{5n}{2}  and 7 all together, the value is 12 1/2

That is;

\frac{n}{6}  + \frac{5n}{2} + 7 = 12 1/2

\frac{n}{6}  + \frac{5n}{2} + 7  = \frac{25}{2}         ( changing 12 1/2 to improper fraction will give  \frac{25}{2} )

So we can now go ahead and solve for n

\frac{n}{6}  + \frac{5n}{2} + 7  = \frac{25}{2}  

subtract 7 from both-side of the equation

\frac{n}{6}  + \frac{5n}{2}   =  \frac{25}{2}   -   7

\frac{n + 15n}{6}  =   \frac{25 -14}{2}

\frac{16n}{6}      =    \frac{11}{2}

\frac{16n}{6}  can be reduced to give us \frac{8n}{3}

\frac{8n}{3}   =   \frac{11}{2}

Cross multiply

8n × 2  = 11× 3

16n = 33

Divide both-side of the equation by 16

\frac{16n}{16}    =   \frac{33}{16}

(On the left-hand side of the equation, 16 will cancel-out 16 leaving us with just, while  on the right-hand side of the equation 33 will be divided by 16)

n =  \frac{33}{16}     = 2\frac{1}{16}

Therefore the number is  2\frac{1}{16}

5 0
3 years ago
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