First, solve for the volume of each cube through the equation,
V = e³
Substituting the known value,
V = (13 in)³ = 2197 in³
Then, multiply this volume by the number of cubes. Thus, the total volume of the prism,
V = (2197 in³)(3996)
V = 8,779,212 in³
Answer:
4√6
Step-by-step explanation:
The line marked x meets the base of the isosceles triangle at its midpoint, so dividing the triangle into two congruent right triangles with leg 5 and hypotenuse 11.
The Pythagorean theorem can be used to find x:
5² + x² = 11²
x² = 121 -25 . . . . . . subtract 25 from both sides of the equation
x = √96 . . . . . . . . . take the square root
x = 4√6 . . . . . . . . . simplify the radical
Draw up a right triangle to connect these two points with the line itself being the hypotenuse. Then use pythagorean theorem to solve for the hypotenuse
You're right, that's the required operation.
Because they want to know how many glasses can be full, the answer is 15.
