Note: In the calculations below. consider all distances to be measured between the centers of the spheres. From a study of the right triangles involved in a cube, as illustrated below, where (a) is the edge length. (f) is the face diagonal, and (b) is the body diagonal, the following is apparent: b b²=f²+ a² f² = a² + a² b²=3a2 In calculating the volumes, not that only one-eighth of each of the corner spheres is inside the cube which has as its corners the centers of the spheres. The volume of a sphere may be calculated from its radius by using the formula: V = 4/3лг³ 1 Note: In the calculations below. consider all distances to be measured between the centers of the spheres. From a study of the right triangles involved in a cube, as illustrated below, where (a) is the edge length. (f) is the face diagonal, and (b) is the body diagonal, the following is apparent: b b²=f²+ a² f² = a² + a² b²=3a2 In calculating the volumes, not that only one-eighth of each of the corner spheres is inside the cube which has as its corners the centers of the spheres. The volume of a sphere may be calculated from its radius by using the formula: V = 4/3лг³ 1

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Note: In the calculations below. consider all distances to be measured between the centers of the
spheres. From a study of the right triangles involved in a cube, as illustrated below, where (a) is
the edge length. (f) is the face diagonal, and (b) is the body diagonal, the following is apparent:
b
b²=f²+ a²
f² = a² + a²
b²=3a2
In calculating the volumes, not that only one-eighth of each of the corner spheres is inside the
cube which has as its corners the centers of the spheres. The volume of a sphere may be
calculated from its radius by using the formula:
V = 4/3лг³
1
Transcribed Image Text:Note: In the calculations below. consider all distances to be measured between the centers of the spheres. From a study of the right triangles involved in a cube, as illustrated below, where (a) is the edge length. (f) is the face diagonal, and (b) is the body diagonal, the following is apparent: b b²=f²+ a² f² = a² + a² b²=3a2 In calculating the volumes, not that only one-eighth of each of the corner spheres is inside the cube which has as its corners the centers of the spheres. The volume of a sphere may be calculated from its radius by using the formula: V = 4/3лг³ 1
Note: In the calculations below. consider all distances to be measured between the centers of the
spheres. From a study of the right triangles involved in a cube, as illustrated below, where (a) is
the edge length. (f) is the face diagonal, and (b) is the body diagonal, the following is apparent:
b
b²=f²+ a²
f² = a² + a²
b²=3a2
In calculating the volumes, not that only one-eighth of each of the corner spheres is inside the
cube which has as its corners the centers of the spheres. The volume of a sphere may be
calculated from its radius by using the formula:
V = 4/3лг³
1
Transcribed Image Text:Note: In the calculations below. consider all distances to be measured between the centers of the spheres. From a study of the right triangles involved in a cube, as illustrated below, where (a) is the edge length. (f) is the face diagonal, and (b) is the body diagonal, the following is apparent: b b²=f²+ a² f² = a² + a² b²=3a2 In calculating the volumes, not that only one-eighth of each of the corner spheres is inside the cube which has as its corners the centers of the spheres. The volume of a sphere may be calculated from its radius by using the formula: V = 4/3лг³ 1
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