Answer:
5400 cubes can be fit into the prism.
Step-by-step explanation:
We are given the dimensions of prism as:
5 units by 5 units by 8 units i.e. 5 units×5 units×8 units.
Hence, the volume of the prism is given by:
Volume of prism=5×5×8=200 cubic units
Also the edge length of cube is given by= 1/3 unit.
Hence volume of 1 cube=
Hence volume of 1 cube= (1/27) cubic units.
Let 'n' cubes can be fitted into the prism.
Hence we have the relation as:
Volume of prism=n×Volume of 1 cube.
200=n×(1/27)
n=200×27
n=5400
Hence 5400 cubes can be fitted into the prism.
<h2><u><em>
NUMBER THREE</em></u></h2>
The graph shown is not a function because points (-1,2) and (-1,0) have the same x value.
Answer: The climb angle is 14°
Step-by-step explanation:
We can create a rectangle triangle, where the velocity of the plane is the hypotenuse, the horiontal component (1000 ft by unit of time) is a cathetus and the vertical component is (250ft by unit of time).
We want to find the angle that is adjacent to the horizontal component, so we can use the relationship.
Tan(angle) = opposite cathetus/adjacent cathetus
Tan(angle) = 250/1000 = 1/4
Angle = Atan(1/4) = 14°
The answer is approximately c, 10.2 units.
