The LCM of two prime numbers is generally just their product, since they share no common factors.
3 and 7 are both prime numbers, so their LCM (least common multiple) is simply the numbers multiplied together. In this case, the LCM is thus 21.
Answer: 15863.42 inches³
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × width × height
The sum of the prism are 40 inches by 17 inches by 26 inches. Therefore, the volume of the fish tank is
Volume = 40 × 26 × 17 = 17680inches³
The tank is 95% filled with water. This means that the volume of the tank filled with water is
95/100 × 17680 = 0.95 × 17680 = 16796 inches³
The formula for determining the volume of a cylinder is expressed as
Volume = πr² h
The cylindrical log has a radius of 3 inches and a height of 33 inches.
Volume = 3.14 × 3² × 33 = 932.58 inches³
The amount of water that spills out of the tank would be
16796 - 932.58 = 15863.42 inches³
Answer:
10 : 7
Step-by-step explanation:
5 out of 7 = 
3 out of 6 = 
= 
Ratio
x : y
:
: 
30 : 21
10 : 7
The pressure due to the depth in a liquid can be calculated as:
P = ρgh; ρ is the density in kg/m³, g is the acceleration due to gravity in m/s² and h is the depth in the fluid.
ρ = 0.65 g/cm³ = 650 kg/m³
P = 650 x 9.81 x 3
= 19100 Pascals
Pressure in atm = 19100/101325 atm
= 0.188 atm
