To answer this problem, we determine first the volume of the cubes by the equation,
V = e³
where V is volume and e is the length of each edge. Substituting the known value to the equation,
V = (1/3 in)³ = 1/27 in³
Then, to determine the volume of the prism, we multiply the calculated volume to the number of cubes. That is,
V (prism) = (1/27 in³)(3996 cubes) = 137.89 in³
Thus, the volume of the prism is approximately 137.89 in³.
Answer:
2.98×10^-6 hrs
Step-by-step explanation:
Speed = Distance/Time
Time = Distance/speed
Given
Distance = 17in
Speed= 90mph
Convert inches to miles
1in = 1.578 × 10-5 mile
17in = 17(1.578 × 10-5) mile
17in = 26.826×10^-5miles
Get the time
Time =26.826×10^-5/90
Time = 0.298×10^-5
Time = 2.98×10^-6 hrs
The sides of a square have the same lengths, so the diagonal and two sides form a 45-45-90 right triangle. In a 45-45-90 triangle, the hypotenuse has a length with is

longer than the legs.
Therefore, the sides of the square would be

.
Rationalize the fraction be multiplying the numerator and denominator by root 2.

The 14 and 2 will reduce to 7, and the answer is A.
Step-by-step explanation:
Identity the variable:
Initial Velocity is 35.
Initial Height is 204
Final Height is 0.
What looking for the time.
So we have

Use Quadratic Formula,

A is -16, B is 35 , C is 204.
So we have




The positve solution is

So the answer is 4.83 seconds