Question
Given room dimensions:
Length = 8 m Width = 6 m Height = 10 m Formula for longest diagonal (space diagonal):Solution
Given room dimensions: Length = 8 m Width = 6 m Height = 10 m Formula for longest diagonal (space diagonal): 
The longest pole that can be placed is approximately 14.14 meters .
If (x2 + y2) = 9 and (xy)2 = 3, then find the value of (x4 + y4).
If, ( a + b = 20 ) and ( a² + b² = 208 ), then find the value of (a³ + b³).
If (a + b) = 7 and ab = 11, then find the value of (a² + b²).
If (x 2 = 10x – 25), then find the value of [x³ + (x⁴/25)][7 - x³]
If 27 (x+y)³ − 8(x−y)³ = (x + 5y) (Ax² + By² + Cxy), then what is the value of (A+B-C)?
If a + b + c = 8, a² + b² + c² = 18 and ab + b c+ ca = 12, then what is the value of a³ + b³ +c³ –3abc?
- If p = 40 - q - r and pq + r(p + q) = 400, then find the value of (p² + q² + r²).
Find the number of zeroes in 16 × 75 × 40 × 125.
If a + b + c = 6, a³ + b³ + c³-3abc = 342, then what is the value of ab + bc + ca
