A rectangular prism is defined by three lengths.
We can find out how many unit cubes would be in a prism by multiplying these three lengths together--that's how we find our <em>volume</em>.
Similarly, we can come up with different ways to multiply together three different numbers and make 18.
Each combination would be a new rectangular prism, with one catch:
Order doesn't matter. A prism with lengths 2, 2, and 3 is the same as one with lengths 2, 3, and 2, so don't make that mistake.
To find each combination, keep splitting 18 in different ways.
If one of the ways we split it can also be split, we need to write out that, too.
Here are the possible combinations:
18 × 1 × 1, obviously
9 × 2 × 1. splitting off 2
6 × 3 × 1. splitting off 3
4 × 6 × 1. our next biggest we can take out is 6, which can also be split...
4 × 3 × 2. there's the split of 6 into 2 and 3
<em>(3 × 6 × 1 is a repeat.)</em>
3 × 3 × 2 is new, though
<em>(2 × 9 × 1 is a repeat...)
</em><em>(2 × 3 × 3 is a repeat...)
</em>(aaaand 1 × 1 × 18 is a repeat. let's count up our combinations.)
<em>
</em>
There are 6 possible ways to multiply numbers together and get 18...
So 6 possible rectangular prisms.
Answer:
Sa = 1.5*V
Step-by-step explanation:
We have that the surface area of a sphere has the following formula:
Sa = 4*pi*r^2
we know that r = 2, so if we replace it, we're left:
Sa = 4*pi*(2^2)= = 4*pi*4
Sa = 16*pi
Now, the volume has the following formula:
V = 4/3*pi* r^3
Replacing it is our job:
V = 4/3*pi* (2^3) = 4/3*pi*8
V = 32/3*pi
Now, Sa/V, it would remain:
Sa/V = 16*pi / 32/3*pi
Sa/V = 48/32 = 1.5
Therefore, Sa = 1.5*V
Answer:
A) $192
Step-by-step explanation:
Given:
Yearly expense of Car insurance = $1130
Yearly expense of Vacation = $700
Yearly expense of home repairs = $468
we need to find the monthly allowance of Clark family.
First we find the total annual expense of Clark family.
Total Annual expense is equal to sum of Yearly expense of Car insurance and Yearly expense of Vacation and Yearly expense of home repairs.
Framing in equation form we get;
Total annual expense = 
Now we know that;
Number of months in a year = 12 months.
Total Monthly allowance will be equal to Total annual expense divided by Number of months in year.
Framing the equation we get;
Total Monthly allowance = 
Rounding to nearest dollar we get;
Total Monthly allowance of Clark family is $192.
Answer:
x=3
Step-by-step explanation:
Subract the x from the left side and add it to the right side and then you got your answer
