The height of the pyramid is 14.4 cm.
<h3>How to find the height of the pyramid?</h3>
volume of a pyramid = 1 / 3 Bh
where
- B = base area
- h = height of the pyramid
Therefore,
volume of the cube = L³
where
- L = side length of the cube
Hence,
volume of the cube = 10³
volume of the cube = 1000 cm³
The volume of the pyramid is the same with the volume of the cube.
Hence,
1000 = 1 / 3 Bh
The height of the pyramid is the same as the square base.
Therefore,
1000 = 1 / 3 (h²)h
1000 = 1 / 3 h³
cross multiply
3000 = h³
h = ∛3000
h = 14.4224957031
Hence, the height of the pyramid is 14.4 cm.
learn more on pyramid here:brainly.com/question/19813447
#SPJ1
1. L is parallel to n 1. Given
2. angle 2 ≅ angle 6 a. corresponding angles
3. angle 4 ≅ angle 2 b. vertical angles
<span>4. angle 6 ≅ angle 4 c. alternate interior angles
corresponding angles are angles found in matching corners.
vertical angles are angles that share the same vertex
alternate interior angles are angles found on the opposite sides of the transversal but inside the two parallel lines</span>
Answer:
first =−0.203
second =1.369
Step-by-step explanation:
Another Answer is Futile
Angle 2 = 1/2 ( VU +ST)
angle 2 = 1/2 (70 + 30)
angle 2 = 1/2 (100)
angle 2 = 50
The numbers from which we are to determine the smallest number that can be divided leaving a remainder of 5 are 44, 55, and 220. We have to do the prime factorization of all the numbers to determine their least common multiple (LCM).
Factorization of 44:
44 = 11 x 4 = 11 x 2 x 2
Factorization of 55:
55 = 11 x 5
Factorization of 220:
220 = 11 x 20 = 11 x 5 x 4
Since 220 has all the factors from 55 and 44 then, the least common multiple is 220. Add 5 to the LCM in order to determine the unknown.
<em>ANSWER: 225</em>
