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CSS - PMS - CCE - PCS - Mathematics Geometry
Cube edge 12 cm: find space diagonal.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><rect x="55" y="55" width="95" height="95" fill="none" stroke="#1f2937" stroke-width="2"/><rect x="95" y="25" width="95" height="95" fill="none" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="55" x2="95" y2="25" stroke="#1f2937" stroke-width="2"/><line x1="150" y1="55" x2="190" y2="25" stroke="#1f2937" stroke-width="2"/><line x1="150" y1="150" x2="190" y2="120" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="150" x2="95" y2="120" stroke="#1f2937" stroke-width="2"/></svg>
A. 20.78 cm
B. 22.78 cm
C. 24.78 cm
D. 18.78 cm
Correct Answer: A
d=a√3=12√3≈20.78 cm.
CSS - PMS - CCE - PCS - Mathematics Geometry
Cube edge 11 cm: find space diagonal.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><rect x="55" y="55" width="95" height="95" fill="none" stroke="#1f2937" stroke-width="2"/><rect x="95" y="25" width="95" height="95" fill="none" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="55" x2="95" y2="25" stroke="#1f2937" stroke-width="2"/><line x1="150" y1="55" x2="190" y2="25" stroke="#1f2937" stroke-width="2"/><line x1="150" y1="150" x2="190" y2="120" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="150" x2="95" y2="120" stroke="#1f2937" stroke-width="2"/></svg>
A. 17.05 cm
B. 21.05 cm
C. 23.05 cm
D. 19.05 cm
Correct Answer: D
d=a√3=11√3≈19.05 cm.
CSS - PMS - CCE - PCS - Mathematics Geometry
Cube edge 10 cm: find space diagonal.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><rect x="55" y="55" width="95" height="95" fill="none" stroke="#1f2937" stroke-width="2"/><rect x="95" y="25" width="95" height="95" fill="none" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="55" x2="95" y2="25" stroke="#1f2937" stroke-width="2"/><line x1="150" y1="55" x2="190" y2="25" stroke="#1f2937" stroke-width="2"/><line x1="150" y1="150" x2="190" y2="120" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="150" x2="95" y2="120" stroke="#1f2937" stroke-width="2"/></svg>
A. 21.32 cm
B. 17.32 cm
C. 19.32 cm
D. 15.32 cm
Correct Answer: B
d=a√3=10√3≈17.32 cm.
CSS - PMS - CCE - PCS - Mathematics Geometry
Cube edge 9 cm: find space diagonal.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><rect x="55" y="55" width="95" height="95" fill="none" stroke="#1f2937" stroke-width="2"/><rect x="95" y="25" width="95" height="95" fill="none" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="55" x2="95" y2="25" stroke="#1f2937" stroke-width="2"/><line x1="150" y1="55" x2="190" y2="25" stroke="#1f2937" stroke-width="2"/><line x1="150" y1="150" x2="190" y2="120" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="150" x2="95" y2="120" stroke="#1f2937" stroke-width="2"/></svg>
A. 17.59 cm
B. 15.59 cm
C. 13.59 cm
D. 19.59 cm
Correct Answer: B
d=a√3=9√3≈15.59 cm.
CSS - PMS - CCE - PCS - Mathematics Geometry
Cube edge 8 cm: find space diagonal.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><rect x="55" y="55" width="95" height="95" fill="none" stroke="#1f2937" stroke-width="2"/><rect x="95" y="25" width="95" height="95" fill="none" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="55" x2="95" y2="25" stroke="#1f2937" stroke-width="2"/><line x1="150" y1="55" x2="190" y2="25" stroke="#1f2937" stroke-width="2"/><line x1="150" y1="150" x2="190" y2="120" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="150" x2="95" y2="120" stroke="#1f2937" stroke-width="2"/></svg>
A. 15.86 cm
B. 17.86 cm
C. 13.86 cm
D. 11.86 cm
Correct Answer: C
d=a√3=8√3≈13.86 cm.
CSS - PMS - CCE - PCS - Mathematics Geometry
Cube edge 7 cm: find space diagonal.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><rect x="55" y="55" width="95" height="95" fill="none" stroke="#1f2937" stroke-width="2"/><rect x="95" y="25" width="95" height="95" fill="none" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="55" x2="95" y2="25" stroke="#1f2937" stroke-width="2"/><line x1="150" y1="55" x2="190" y2="25" stroke="#1f2937" stroke-width="2"/><line x1="150" y1="150" x2="190" y2="120" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="150" x2="95" y2="120" stroke="#1f2937" stroke-width="2"/></svg>
A. 10.12 cm
B. 14.12 cm
C. 12.12 cm
D. 16.12 cm
Correct Answer: C
d=a√3=7√3≈12.12 cm.
CSS - PMS - CCE - PCS - Mathematics Geometry
Cube edge 6 cm: find space diagonal.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><rect x="55" y="55" width="95" height="95" fill="none" stroke="#1f2937" stroke-width="2"/><rect x="95" y="25" width="95" height="95" fill="none" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="55" x2="95" y2="25" stroke="#1f2937" stroke-width="2"/><line x1="150" y1="55" x2="190" y2="25" stroke="#1f2937" stroke-width="2"/><line x1="150" y1="150" x2="190" y2="120" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="150" x2="95" y2="120" stroke="#1f2937" stroke-width="2"/></svg>
A. 8.39 cm
B. 14.39 cm
C. 12.39 cm
D. 10.39 cm
Correct Answer: D
d=a√3=6√3≈10.39 cm.
CSS - PMS - CCE - PCS - Mathematics Geometry
Cube edge 5 cm: find space diagonal.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><rect x="55" y="55" width="95" height="95" fill="none" stroke="#1f2937" stroke-width="2"/><rect x="95" y="25" width="95" height="95" fill="none" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="55" x2="95" y2="25" stroke="#1f2937" stroke-width="2"/><line x1="150" y1="55" x2="190" y2="25" stroke="#1f2937" stroke-width="2"/><line x1="150" y1="150" x2="190" y2="120" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="150" x2="95" y2="120" stroke="#1f2937" stroke-width="2"/></svg>
A. 6.66 cm
B. 8.66 cm
C. 10.66 cm
D. 12.66 cm
Correct Answer: B
d=a√3=5√3≈8.66 cm.
CSS - PMS - CCE - PCS - Mathematics Geometry
Cube edge 4 cm: find space diagonal.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><rect x="55" y="55" width="95" height="95" fill="none" stroke="#1f2937" stroke-width="2"/><rect x="95" y="25" width="95" height="95" fill="none" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="55" x2="95" y2="25" stroke="#1f2937" stroke-width="2"/><line x1="150" y1="55" x2="190" y2="25" stroke="#1f2937" stroke-width="2"/><line x1="150" y1="150" x2="190" y2="120" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="150" x2="95" y2="120" stroke="#1f2937" stroke-width="2"/></svg>
A. 4.93 cm
B. 8.93 cm
C. 6.93 cm
D. 10.93 cm
Correct Answer: C
d=a√3=4√3≈6.93 cm.
CSS - PMS - CCE - PCS - Mathematics Geometry
Cube edge 3 cm: find space diagonal.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><rect x="55" y="55" width="95" height="95" fill="none" stroke="#1f2937" stroke-width="2"/><rect x="95" y="25" width="95" height="95" fill="none" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="55" x2="95" y2="25" stroke="#1f2937" stroke-width="2"/><line x1="150" y1="55" x2="190" y2="25" stroke="#1f2937" stroke-width="2"/><line x1="150" y1="150" x2="190" y2="120" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="150" x2="95" y2="120" stroke="#1f2937" stroke-width="2"/></svg>
A. 7.2 cm
B. 5.2 cm
C. 9.2 cm
D. 3.2 cm
Correct Answer: B
d=a√3=3√3≈5.2 cm.
CSS - PMS - CCE - PCS - Mathematics Geometry
Surface-area unit type:
A. 6
B. 4
C. Square units
D. 12
Correct Answer: C
Correct solid geometry fact: Square units.
CSS - PMS - CCE - PCS - Mathematics Geometry
Volume unit type:
A. 4
B. 12
C. 6
D. Cubic units
Correct Answer: D
Correct solid geometry fact: Cubic units.
CSS - PMS - CCE - PCS - Mathematics Geometry
Sphere edges:
A. 4
B. 12
C. 6
D. 0
Correct Answer: D
Correct solid geometry fact: 0.
CSS - PMS - CCE - PCS - Mathematics Geometry
Cone vertices:
A. 12
B. 1
C. 6
D. 4
Correct Answer: B
Correct solid geometry fact: 1.
CSS - PMS - CCE - PCS - Mathematics Geometry
Cylinder circular bases:
A. 6
B. 2
C. 4
D. 12
Correct Answer: B
Correct solid geometry fact: 2.
CSS - PMS - CCE - PCS - Mathematics Geometry
Triangular prism faces:
A. 4
B. 5
C. 12
D. 6
Correct Answer: B
Correct solid geometry fact: 5.
CSS - PMS - CCE - PCS - Mathematics Geometry
Cube vertices:
A. 4
B. 12
C. 6
D. 8
Correct Answer: D
Correct solid geometry fact: 8.
CSS - PMS - CCE - PCS - Mathematics Geometry
Cube edges:
A. 6
B. None of these
C. 4
D. 12
Correct Answer: D
Correct solid geometry fact: 12.
CSS - PMS - CCE - PCS - Mathematics Geometry
Cube faces:
A. None of these
B. 6
C. 12
D. 4
Correct Answer: B
Correct solid geometry fact: 6.
CSS - PMS - CCE - PCS - Mathematics Geometry
Euler formula for convex polyhedra:
A. 6
B. V − E + F = 2
C. 12
D. 4
Correct Answer: B
Correct solid geometry fact: V − E + F = 2.
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