Step-by-step explanation:
Let the dimension of the box be x, y and z.
Volume of the box V = xyz
Since the box is a rectangular box, the base will be a square of equal length.
V = x²h where h is the height of the box
If the sum of the length, width, and height equals 180, then x+x+h = 180
2x+h = 180
h = 180-2x
Substitute h = 180-2x into the volume of the box
V = x²(180-2x)
V = 180x²-2x³
The box has its maximum volume when 
Since 2x+h = 180
Substitute x = 60 into the equation ang get the height h
2(60)+h = 180
120+h = 180
h = 180-120
h = 60
Hence the dimension of the rectangular box is 60 by 60 by 60
Answer:
26.7 (Add unit)
Step-by-step explanation:
Perimeter= 187
Number of sides= 7
Side= Total length of sides/Number of sides
Side= 187/7
Side= 26.7
Answer:
Communicative Property
Step-by-step explanation:
They switched around the numbers in the parenthesis without changing the value.
Answer:
False.
Step-by-step explanation:
The answer is NOT 6 1/2 loaves it is 6 loaves.
Knowing that there Max has 5 1/4 cups of raisins and each loaf requires 7/8 cup of raisins, we would need to divide.
Let's turn the 5 1/4 into an improper fraction so when we divide the two fractions, it would be easier!
<u>To turn 5 1/4 into an improper fraction we need to...</u>
5 x 4 = 20
20 + 1
21/4
Now we divided 21/4 by 7/8.
When dividing fractions remember the rule: KEEP CHANGE FLIP!
We keep the first fraction...which is 21/4 in this case
Change the sign from division to multiplication
21/4 x 7/8
And flip 7/8 so it becomes 8/7
21/4 x 8/7
= 168/28
= 6 loaves
So, the answer is not 6 1/2 loaves (false!)
