Try switching 2.1B with B / 0.21 B ?
Answer:
30 inches
Step-by-step explanation:
We know that the formula for calculate the volume of a cube is:
∨=8³
Where "s" is the length of each side.
Since the volume of each cube-shaped box is 125 cubic inches, we can find "s":
125 in³=8³
∛125 in³=8
8=5 in
We know that the display has six layers of boxes, then , to calculate the height of the display, we can multiply the value of "s" obtained before by 6.
Then:
height= (5 in)(6)=30 in
The formula for the volume of a cylinder is
V = π·r²·h
You have r = s/2, h = s, so the volume is
V = π·(s/2)²·s
V = (π/4)·s³
Answer:
9:10 P.M.
Step-by-step explanation:
The least common multiple (LCM) of 12 and 10 is 60. The lighthouses will blink together again 60 minutes later, at 9:10 P.M.
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<em>Comment on finding the LCM</em>
The LCM can be found several ways. One way is to factor out the greatest common factor (GCF) and write each number in terms of that:
12 = 2×6
10 = 2×5
Then the LCM is the product of the unique factors:
LCM(12, 10) = 2×6×5 = 60
This is equivalent to dividing the product of the two numbers by their GCF:
LCM(12, 10) = 12×10/GCF(12, 10) = 12×10/2 = 60
One can also write each number in terms of its prime factors, then form the product of each of those to its highest power:
12 = 2²×3
10 = 2×5
LCM(12, 10) = 2²×3×5 = 60
