math
posted by Mathslover
A sphere of radius 32√ is tangent to the edges AB, AD, AA1, and the face diagonal CD1 of the cube ABCDA1B1C1D1.
The volume of the cube can be written as a+bc√, where a, b are integers and c is a squarefree positive integer. What is the value of a+b+c?
Respond to this Question
Similar Questions

Algebra
How would i complete these problems? 1. (√6mn)^5 2. ^3√16x  ^3√2x^4 3.^4√x • ^3√2x 4. ^3√72x^8 5. √63a^5b • √27a^6b^4 and are these problems correct? 
Math
Find an equation of the line that bisects the obtuse angles formed by the lines with equations 3xy=1 and x+y=2. a. (3√2 +√10)x(√10 + √2)y2√10+√2=0 b. (3√2  √10)x+(√10  √2)y+2√10+√2=0 … 
Geometry
A sphere is inscribed in a cube. The diagonal of one face of the cube measures 4 units. Find the volume of the sphere. a.) 8Ï€âˆš2/3 units3 b.) 8âˆš2 units3 c.) 4Ï€ units3 
math
The side length, d, of a cube that contains a sphere depends on the radius, r, of a sphere. Assuming that the faces of the cube are tangent to the sphere, write the volume of the cube as a function of the radius of the sphere. 
solid mensuration
let a and b be opposite vertices of a unit cube (i.e. , the distance between a and b is the square root of 3). find the radius of a sphere, whose center is in the interior of the cube, that is tangent to the three faces that at a and … 
8th grade algebra
Can you check my answers? 1. 3√20/√4 = 3√(5)(4)/2 = 3(2)√5/2 = 3√5 2. 4√15/√9 = 4√15/3 3. √12/√16 = √4(3)/4 = 2√3/4 = √3/2 4. √10/√5 = √2 
Algebra
1. Simplify the expression: 4√18+5√32 A.45√2 B.32√2 C.116√2 D.9√50 2. Simplify the expression: 7√53√80 A.5√5 B.4√75 C.5 D.4√75 3. Simplify the expression: √21(√3+√14) … 
Algebra  Check My Work
For Question 18 Simplify the Radical Expression ***  My Answer 1.√45 3√5*** 2.√180x^2 6x√5*** 3.√150x^3 k^4 5xk^2√6x*** 4.√21y * 5√49y 35y√21*** 5.(The square root sign applies … 
Algebra
Is this correct cube root 3√540r^3 s^2 t^9 cube root 3√4(5)(3)(3)(3)r^3s^2 (T^3)^3 3r^t^3 cube root 3√4(5)s^2 3r^t^3 cube root 3√20s^2 
geometry
Each of the twelve edges of a cube of edge 'a' is tangent to a sphere. Find the volume of that portion of the cube which lies outside the sphere.