He needs 20 more unit cubes to completely fill the prism
<h3>How to determine the number of unit cubes?</h3>
The dimension of the prism is given as;
4 by 3 by 3
The volume is calculated as:
Volume = 4 * 3 * 3
Volume = 36
He has already filled 16 units.
So, the units remaining is
Remaining = 36 - 16
Evaluate
Remaining = 20
Hence, he needs 20 more unit cubes to completely fill the prism
Read more about volumes at:
brainly.com/question/1972490
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Similar triangles as the sun is at the same angle
let h be height of building
h/24 = 66/4
h = 66/4 * 24
h = 396 feet
15. s = 10 because in a 45-45-90 degree triangle the longer and shorter leg have the same distance, r = 10√2 because the hypotenuse in a 45-45-90 degree triangle is √2 times the same variable as the longer and shorter leg
16. n °= 30° because it is a 30-60-90 triangle I knew that it was 30 degrees, 2n° = 60° because variable n equals 30 degrees and two times 30 equals 60, q = 15√3 I followed the formula of a 30-60-90 degree triangle that states the longer leg is equal to √3 times the shorter leg, p = 15 I got this answer because the hypotenuse (which is 30) is two times the shorter leg so all I had to do was divide by two to get 15 (the shorter leg)
17. Couldn't see got cut off.
18. c = 12 I saw that the square was made up of 4 congruent triangles and I noticed that one triangle had its hypotenuse given. I noticed that this triangle was a 30-60-90 degree triangle so I took 24 (the hypotenuse) and divided it by two to get 12 because the hypotenuse is two times the shorter leg. Next I looked at where variable c was and since all the triangles are congruent I saw that It was the shorter leg and I took the 12 that I found in the former triangle to get the answer c = 12.<span>
*I also suggest you look up on google "special right triangle formulas"</span>
