CSS - PMS - CCE - PCS - Mathematics
Geometry
Square pyramid base side 15 cm, height 8 cm: find volume.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="140" y1="25" x2="70" y2="140" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="180" y2="140" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="210" y2="105" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="100" y2="105" stroke="#1f2937" stroke-width="2"/></svg>
A. 610 cm³
B. 620 cm³
C. 600 cm³
D. 590 cm³
Correct Answer: C
V=⅓×15²×8=600 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Square pyramid base side 14 cm, height 7 cm: find volume.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="140" y1="25" x2="70" y2="140" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="180" y2="140" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="210" y2="105" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="100" y2="105" stroke="#1f2937" stroke-width="2"/></svg>
A. 457.33 cm³
B. 477.33 cm³
C. 447.33 cm³
D. 467.33 cm³
Correct Answer: A
V=⅓×14²×7=457.33 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Square pyramid base side 13 cm, height 6 cm: find volume.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="140" y1="25" x2="70" y2="140" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="180" y2="140" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="210" y2="105" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="100" y2="105" stroke="#1f2937" stroke-width="2"/></svg>
A. 328 cm³
B. 348 cm³
C. 338 cm³
D. 358 cm³
Correct Answer: C
V=⅓×13²×6=338 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Square pyramid base side 12 cm, height 5 cm: find volume.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="140" y1="25" x2="70" y2="140" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="180" y2="140" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="210" y2="105" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="100" y2="105" stroke="#1f2937" stroke-width="2"/></svg>
A. 260 cm³
B. 230 cm³
C. 250 cm³
D. 240 cm³
Correct Answer: D
V=⅓×12²×5=240 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Square pyramid base side 11 cm, height 10 cm: find volume.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="140" y1="25" x2="70" y2="140" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="180" y2="140" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="210" y2="105" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="100" y2="105" stroke="#1f2937" stroke-width="2"/></svg>
A. 423.33 cm³
B. 413.33 cm³
C. 393.33 cm³
D. 403.33 cm³
Correct Answer: D
V=⅓×11²×10=403.33 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Square pyramid base side 10 cm, height 9 cm: find volume.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="140" y1="25" x2="70" y2="140" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="180" y2="140" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="210" y2="105" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="100" y2="105" stroke="#1f2937" stroke-width="2"/></svg>
A. 320 cm³
B. 300 cm³
C. 290 cm³
D. 310 cm³
Correct Answer: B
V=⅓×10²×9=300 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Square pyramid base side 9 cm, height 8 cm: find volume.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="140" y1="25" x2="70" y2="140" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="180" y2="140" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="210" y2="105" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="100" y2="105" stroke="#1f2937" stroke-width="2"/></svg>
A. 226 cm³
B. 216 cm³
C. 206 cm³
D. 236 cm³
Correct Answer: B
V=⅓×9²×8=216 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Square pyramid base side 8 cm, height 7 cm: find volume.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="140" y1="25" x2="70" y2="140" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="180" y2="140" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="210" y2="105" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="100" y2="105" stroke="#1f2937" stroke-width="2"/></svg>
A. 159.33 cm³
B. 139.33 cm³
C. 149.33 cm³
D. 169.33 cm³
Correct Answer: C
V=⅓×8²×7=149.33 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Square pyramid base side 7 cm, height 6 cm: find volume.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="140" y1="25" x2="70" y2="140" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="180" y2="140" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="210" y2="105" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="100" y2="105" stroke="#1f2937" stroke-width="2"/></svg>
A. 118 cm³
B. 88 cm³
C. 98 cm³
D. 108 cm³
Correct Answer: C
V=⅓×7²×6=98 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Square pyramid base side 6 cm, height 5 cm: find volume.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="140" y1="25" x2="70" y2="140" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="180" y2="140" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="210" y2="105" stroke="#1f2937" stroke-width="2"/><line x1="140" y1="25" x2="100" y2="105" stroke="#1f2937" stroke-width="2"/></svg>
A. 60 cm³
B. 70 cm³
C. 50 cm³
D. 80 cm³
Correct Answer: A
V=⅓×6²×5=60 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Sphere r=16 cm: find volume. Use π≈3.1416.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><circle cx="130" cy="95" r="65" fill="none" stroke="#1f2937" stroke-width="2"/><ellipse cx="130" cy="95" rx="65" ry="20" fill="none" stroke="#6b7280"/><line x1="130" y1="95" x2="195" y2="95" stroke="#2563eb" stroke-width="2.5"/></svg>
A. 17167.28 cm³
B. 17157.28 cm³
C. 17177.28 cm³
D. 17147.28 cm³
Correct Answer: B
V=⁴⁄₃πr³≈17157.28 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Sphere r=15 cm: find surface area. Use π≈3.1416.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><circle cx="130" cy="95" r="65" fill="none" stroke="#1f2937" stroke-width="2"/><ellipse cx="130" cy="95" rx="65" ry="20" fill="none" stroke="#6b7280"/><line x1="130" y1="95" x2="195" y2="95" stroke="#2563eb" stroke-width="2.5"/></svg>
A. 2847.43 cm²
B. 2817.43 cm²
C. 2837.43 cm²
D. 2827.43 cm²
Correct Answer: D
SA=4πr²≈2827.43 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Sphere r=14 cm: find volume. Use π≈3.1416.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><circle cx="130" cy="95" r="65" fill="none" stroke="#1f2937" stroke-width="2"/><ellipse cx="130" cy="95" rx="65" ry="20" fill="none" stroke="#6b7280"/><line x1="130" y1="95" x2="195" y2="95" stroke="#2563eb" stroke-width="2.5"/></svg>
A. 11514.04 cm³
B. 11494.04 cm³
C. 11504.04 cm³
D. 11484.04 cm³
Correct Answer: B
V=⁴⁄₃πr³≈11494.04 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Sphere r=13 cm: find surface area. Use π≈3.1416.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><circle cx="130" cy="95" r="65" fill="none" stroke="#1f2937" stroke-width="2"/><ellipse cx="130" cy="95" rx="65" ry="20" fill="none" stroke="#6b7280"/><line x1="130" y1="95" x2="195" y2="95" stroke="#2563eb" stroke-width="2.5"/></svg>
A. 2113.72 cm²
B. 2143.72 cm²
C. 2133.72 cm²
D. 2123.72 cm²
Correct Answer: D
SA=4πr²≈2123.72 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Sphere r=12 cm: find volume. Use π≈3.1416.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><circle cx="130" cy="95" r="65" fill="none" stroke="#1f2937" stroke-width="2"/><ellipse cx="130" cy="95" rx="65" ry="20" fill="none" stroke="#6b7280"/><line x1="130" y1="95" x2="195" y2="95" stroke="#2563eb" stroke-width="2.5"/></svg>
A. 7258.23 cm³
B. 7228.23 cm³
C. 7238.23 cm³
D. 7248.23 cm³
Correct Answer: C
V=⁴⁄₃πr³≈7238.23 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Sphere r=11 cm: find surface area. Use π≈3.1416.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><circle cx="130" cy="95" r="65" fill="none" stroke="#1f2937" stroke-width="2"/><ellipse cx="130" cy="95" rx="65" ry="20" fill="none" stroke="#6b7280"/><line x1="130" y1="95" x2="195" y2="95" stroke="#2563eb" stroke-width="2.5"/></svg>
A. 1530.53 cm²
B. 1510.53 cm²
C. 1520.53 cm²
D. 1540.53 cm²
Correct Answer: C
SA=4πr²≈1520.53 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Sphere r=10 cm: find volume. Use π≈3.1416.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><circle cx="130" cy="95" r="65" fill="none" stroke="#1f2937" stroke-width="2"/><ellipse cx="130" cy="95" rx="65" ry="20" fill="none" stroke="#6b7280"/><line x1="130" y1="95" x2="195" y2="95" stroke="#2563eb" stroke-width="2.5"/></svg>
A. 4208.79 cm³
B. 4198.79 cm³
C. 4188.79 cm³
D. 4178.79 cm³
Correct Answer: C
V=⁴⁄₃πr³≈4188.79 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Sphere r=9 cm: find surface area. Use π≈3.1416.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><circle cx="130" cy="95" r="65" fill="none" stroke="#1f2937" stroke-width="2"/><ellipse cx="130" cy="95" rx="65" ry="20" fill="none" stroke="#6b7280"/><line x1="130" y1="95" x2="195" y2="95" stroke="#2563eb" stroke-width="2.5"/></svg>
A. 1007.88 cm²
B. 1037.88 cm²
C. 1027.88 cm²
D. 1017.88 cm²
Correct Answer: D
SA=4πr²≈1017.88 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Sphere r=8 cm: find volume. Use π≈3.1416.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><circle cx="130" cy="95" r="65" fill="none" stroke="#1f2937" stroke-width="2"/><ellipse cx="130" cy="95" rx="65" ry="20" fill="none" stroke="#6b7280"/><line x1="130" y1="95" x2="195" y2="95" stroke="#2563eb" stroke-width="2.5"/></svg>
A. 2144.66 cm³
B. 2164.66 cm³
C. 2134.66 cm³
D. 2154.66 cm³
Correct Answer: A
V=⁴⁄₃πr³≈2144.66 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Sphere r=7 cm: find surface area. Use π≈3.1416.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><circle cx="130" cy="95" r="65" fill="none" stroke="#1f2937" stroke-width="2"/><ellipse cx="130" cy="95" rx="65" ry="20" fill="none" stroke="#6b7280"/><line x1="130" y1="95" x2="195" y2="95" stroke="#2563eb" stroke-width="2.5"/></svg>
A. 605.75 cm²
B. 625.75 cm²
C. 615.75 cm²
D. 635.75 cm²
Correct Answer: C
SA=4πr²≈615.75 cm².