if the length is 8ft and the width is (7+x) then the area would be 56+8x, if x is unknown.
Answer:
x + 138 = x + 138
Step-by-step explanation:
The possible value of the third length is an illustration of Triangle inequality theorem
The possible third lengths are 4 units and 6 units
<h3>How to determine the possible length of the third side?</h3>
To determine the third length, we make use of the following Triangle inequality theorem.
a + b > c
Let the third side be x.
So, we have:
x + 6 > 3
x + 3 > 6
3 + 6 > x
Solve the inequalities
x > -3
x > 3
x < 9
Remove the negative inequality value.
So, we have:
x > 3 or x < 9
Rewrite as:
3 < x or x < 9
Combine the inequality
3 < x < 9
This means that the possible value of the third length is between 3 and 9 (exclusive)
Hence, the possible third lengths are 4 units and 6 units
Read more about Triangle inequality theorem at:
brainly.com/question/2403556
Answer:
Step-by-step explanation:
Answer:
or ![3\frac{3}{4}\ cm^{3}](https://tex.z-dn.net/?f=3%5Cfrac%7B3%7D%7B4%7D%5C%20cm%5E%7B3%7D)
Step-by-step explanation:
step 1
Find the volume of the rectangular prism
we know that
The volume of a rectangular prism is
![V=LWH](https://tex.z-dn.net/?f=V%3DLWH)
In this problem we have
![L=2\frac{1}{2}\ cm=\frac{2*2+1}{2}=\frac{5}{2}\ cm](https://tex.z-dn.net/?f=L%3D2%5Cfrac%7B1%7D%7B2%7D%5C%20cm%3D%5Cfrac%7B2%2A2%2B1%7D%7B2%7D%3D%5Cfrac%7B5%7D%7B2%7D%5C%20cm)
![W=2\frac{1}{2}\ cm=\frac{2*2+1}{2}=\frac{5}{2}\ cm](https://tex.z-dn.net/?f=W%3D2%5Cfrac%7B1%7D%7B2%7D%5C%20cm%3D%5Cfrac%7B2%2A2%2B1%7D%7B2%7D%3D%5Cfrac%7B5%7D%7B2%7D%5C%20cm)
![H=5\ cm](https://tex.z-dn.net/?f=H%3D5%5C%20cm)
substitute in the formula
![V=(\frac{5}{2})(\frac{5}{2})(5)=\frac{125}{4}=31.25\ cm^{3}](https://tex.z-dn.net/?f=V%3D%28%5Cfrac%7B5%7D%7B2%7D%29%28%5Cfrac%7B5%7D%7B2%7D%29%285%29%3D%5Cfrac%7B125%7D%7B4%7D%3D31.25%5C%20cm%5E%7B3%7D)
step 2
Find the difference between the volume of the prism and the volume of the storage container
![35\ cm^{3}-31.25\ cm^{3}=3.75\ cm^{3}](https://tex.z-dn.net/?f=35%5C%20cm%5E%7B3%7D-31.25%5C%20cm%5E%7B3%7D%3D3.75%5C%20cm%5E%7B3%7D)
![3.75=3\frac{3}{4}\ cm^{3}](https://tex.z-dn.net/?f=3.75%3D3%5Cfrac%7B3%7D%7B4%7D%5C%20cm%5E%7B3%7D)