The volume of the prism = 14 ft³
Solution:
Number of cubes in the prism = 1750
Edge length of each cube (a) =
ft
<u>To find the volume of each cube:</u>
Volume of each cube = a³
![$=\left(\frac{1}{5} \right)^3](https://tex.z-dn.net/?f=%24%3D%5Cleft%28%5Cfrac%7B1%7D%7B5%7D%20%5Cright%29%5E3)
Volume of each cube ![$=\frac{1}{125} \ \text{ft}^3](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B1%7D%7B125%7D%20%20%5C%20%5Ctext%7Bft%7D%5E3)
<u>To find the volume of the prism:</u>
Volume of the prism = Volume of each cube × Number of cubes
![$=\frac{1}{125} \ \text{ft}^3\times 1750](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B1%7D%7B125%7D%20%20%5C%20%5Ctext%7Bft%7D%5E3%5Ctimes%201750)
= 14 ft³
The volume of the prism = 14 ft³
Answer:
m = - 8 ± 6![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
Step-by-step explanation:
Given
m² + 16m - 8 = 0 ( add 8 to both sides )
m² + 16m = 8
To complete the square
add ( half the coefficient of the m- term )² to both sides
m² + 2(8)m + 64 = 8 + 64
(m + 8)² = 72 ( take the square root of both sides )
m + 8 = ±
= ±
= ± 6![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
Subtract 8 from both sides
m = - 8 ± 6![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
Answer:
It would be the transitive property! If you look up "If a = b, and b = c, then a = c" you'd see the transitive property. I hope this helps!
Answer:
95
Step-by-step explanation:
let x be his mark in the fourth test, then
mean =
= 83 ( multiply both sides by 4 )
83 + 81 + 73 + x = 332
237 + x = 332 ( subtract 237 from both sides )
x = 95
Divide it and get yo answer