Quentin has 18 unit cubes. how many different rectangular prims can he build if he uses all of the cubes ?a) 4
b)6
c)8
d)18
Answers
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 volume.
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
(3 × 6 × 1 is a repeat.)
3 × 3 × 2 is new, though
(2 × 9 × 1 is a repeat...)
(2 × 3 × 3 is a repeat...)
(aaaand 1 × 1 × 18 is a repeat. let's count up our combinations.)
There are 6 possible ways to multiply numbers together and get 18...
So 6 possible rectangular prisms.
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Answer:
Percentage error is 25%.
Step-by-step explanation:
Given : Estimated weighs of a baby pig = 20 pounds
Actual weight of the baby pig = 16 pounds
To find : The percentage error
Solution : Formula to find percentage error
Putting values in formula,
Therefore, Percentage error is 25%.
Let's solve for the percentage error of this.
=> 20 - 16 = 4 pounds
=> 4 / 16 = 0.25
=> 0.25 * 100% = 25%
Thus, you added 25% of the baby pig's weight
Answers
The probability that the second spinner will land on a 5 is 1/6 because there are 6 numbers on the spinner and only one 5.
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You can either do that in long form or compact method of division. I did that in compact method on a looseleaf and the answer I got is 63. I think compact method would be the easiest to find the answer. So when you complete the division you would be sure to receive the answer 63.
Hope that Helped! :D
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Answer:
No rotation will produce a polyhedron. The solids of rotation are non-polyhedral.
Step-by-step explanation:
Solids of rotation will always have a curved face, so they’re always non-polyhedral.
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Hi there!
To solve your answer, since we know a = 7, we can easily solve your equation.
But before we go onto that, I want to show you a tip or two about solving equations with variables next to numbers.
When you have a number, and a variable attached to it, it means to multiply.
Now, to make this equation look a little easier, lets rewrite it.
9 × 7 - 5 × 7 = ___
According to PEMDAS, we won't go straight from left-to-right when solving here. We'll skip around a little.
9 × 7 = 63.
5 × 7 = 35.
Now, since we've multiplied the two numbers, its time to subtract them.
63 - 35 = 28. Sooooo........
9 × 7 - 5 × 7 = 28
Hope this helps!
Message me if you need anything else, I'd be happy to help you out! :D
when a number is attached by a variable, that usually means that it is attached by multiplication so, i multiplied 9 times 7 and got 63 then i multiplied 5 times 7 and got 35 then subtract 63 and 35 and i got 28
i hope this helps :)
Answers
r=9
V=4/3pi9^3
v=4/3pi729
V=972pi
if want, aprox pi=3.141592
V=3053.627424 in^3
The volume of a sphere is given by the formula V = 4/3 πr³ , where V is the volume of the sphere and r is its radius. We know that the radius is 9 inches.
Calculations
Formula = V=4/3πr³
V=4/3πr³
v=4/3πr³ ( 9 ) = r
r³ = 9 x 9 x 9 = 729
V=972π