Question
A rectangular prism has dimensions 10 cm × 6 cm × 4
cm. If a cube of side 2 cm is removed from one of the corners, what is the volume of the remaining solid?Solution
Volume of the rectangular prism = length × width × height = 10 × 6 × 4 = 240 cm³. Volume of the cube = side³ = 2³ = 8 cm³. Remaining volume = Volume of the prism - Volume of the cube = 240 - 8 = 232 cm³. Correct option: b) 232 cm³
if a2 + b2 + c2 = 2(4a -5b -6c)-77 , then a-b-c = ?
If x + y + z = 7, x² + y² + z² = 85 and x³ + y³ + z³ = 842, then the value of √3 xyz is:
...If 10x2 – 6xy+y² – 4x+4= 0, then find the value of (3x+2y).
If x = 6 + 2√5, then the value of √x - (1/√x)?
- If [x + (1/x)] = 7, find the value of [x⁴ + (1/x⁴)].
If x + y = 12 and x² + y² = 74, find xy.
If (a + b)2 = 18 + c2, (b + c)2 = 22 + a2 and (c + a)2 = 24 + b2, then find the va...
If x 8 + x -8 = 194, then find the value of (2x 2 – 4) 2 – 1.
Consider a function f(x) = x4 + x3 + x2 + x + 1, where x is a positive integer greater than 1. What will be the rema...
If 10% of 24% of x is 240, then x = ?
