Praxis 5164 Domain 4: Geometry and Measurement Welcome to your Praxis 5164 Domain 4: Geometry and Measurement 1. Praxis Mathematics (5164): Geometry and Measurement If a square pyramid has a base edge of 6 cm and a height of 8 cm, what is its volume? A. 96 \(\text{cm}^3\) B. 144 \(\text{cm}^3\) C. 192 \(\text{cm}^3\) D. 288 \(\text{cm}^3\) None 2. Praxis Mathematics (5164): Geometry and Measurement A rectangular prism has dimensions of 4 cm by 6 cm by 8 cm. What is the length of the diagonal of this prism? A. \( 10 \text{ cm} \) B. \( 12 \text{ cm} \) C. \( 14 \text{ cm} \) D. \( 16 \text{ cm} \) None 3. Praxis Mathematics (5164): Geometry and Measurement What is the sum of the interior angles of a pentagon? A. \( 360^\circ \) B. \( 540^\circ \) C. \( 720^\circ \) D. \( 900^\circ \) None 4. Praxis Mathematics (5164): Geometry and Measurement What is the area of an equilateral triangle with side length 10 cm? A. \( 25\sqrt{3} \text{ cm}^2 \) B. \( 50\sqrt{3} \text{ cm}^2 \) C. \( 75\sqrt{3} \text{ cm}^2 \) D. \( 100\sqrt{3} \text{ cm}^2 \) None 5. Praxis Mathematics (5164): Geometry and Measurement What is the measure of each exterior angle of a regular octagon? A. 45 degrees B. 50 degrees C. 55 degrees D. 135 degrees None 6. Praxis Mathematics (5164): Geometry and Measurement A sphere has a diameter of 10 cm. What is its surface area? A. \( 100\pi \text{ cm}^2 \) B. \( 200\pi \text{ cm}^2 \) C. \( 300\pi \text{ cm}^2 \) D. \( 400\pi \text{ cm}^2 \) None 7. Praxis Mathematics (5164): Geometry and Measurement A right circular cone has a base radius of 6 cm and a height of 8 cm. What is the volume of the cone? A. \( 96\pi \text{ cm}^3 \) B. \( 144\pi \text{ cm}^3 \) C. \( 192\pi \text{ cm}^3 \) D. \( 288\pi \text{ cm}^3 \) None 8. Praxis Mathematics (5164): Geometry and Measurement If a regular hexagon has a side length of 8 cm, what is its perimeter? A. \( 24 \text{ cm} \) B. \( 32 \text{ cm} \) C. \( 40 \text{ cm} \) D. \( 48 \text{ cm} \) None 9. Praxis Mathematics (5164): Geometry and Measurement If the base of a right pyramid is a square with side length 6 cm and the height of the pyramid is 9 cm, what is the volume? A. \( 54 \text{ cm}^3 \) B. \( 108 \text{ cm}^3 \) C. \( 162 \text{ cm}^3 \) D. \( 216 \text{ cm}^3 \) None 10. Praxis Mathematics (5164): Geometry and Measurement What is the volume of a cube with a surface area of \( 150 \text{ cm}^2 \)? A. \( 125 \text{ cm}^3 \) B. \( 216 \text{ cm}^3 \) C. \( 343 \text{ cm}^3 \) D. \( 512 \text{ cm}^3 \) None 11. Praxis Mathematics (5164): Geometry and Measurement A regular hexagon has a perimeter of 48 cm. What is the area of the hexagon? A. 96 \(\text{cm}^2\) B. 144 \(\text{cm}^2\) C. 172.8 \(\text{cm}^2\) D. 207.36 \(\text{cm}^2\) None 12. Praxis Mathematics (5164): Geometry and Measurement If a right triangle has one angle measuring 30 degrees, what is the length of the hypotenuse if the opposite side is 6 cm? A. 6 \(\text{cm}\) B. 12 \(\text{cm}\) C. 6\(\sqrt{3}\) \(\text{cm}\) D. 12\(\sqrt{3}\) \(\text{cm}\) None 13. Praxis Mathematics (5164): Geometry and Measurement What is the area of a rhombus with diagonals of length 10 cm and 24 cm? A. \( 120 \text{ cm}^2 \) B. \( 240 \text{ cm}^2 \) C. \( 360 \text{ cm}^2 \) D. \( 480 \text{ cm}^2 \) None 14. Praxis Mathematics (5164): Geometry and Measurement What is the measure of the central angle of a sector in a circle with radius 5 cm, if the sector has an area of 25\(\pi\) \(\text{cm}^2\)? A. 72 degrees B. 90 degrees C. 108 degrees D. 144 degrees None 15. Praxis Mathematics (5164): Geometry and Measurement The diagonal of a rectangle is 10 cm and one of its sides is 6 cm. What is the area of the rectangle? A. 24 \(\text{cm}^2\) B. 48 \(\text{cm}^2\) C. 60 \(\text{cm}^2\) D. 80 \(\text{cm}^2\) None 16. Praxis Mathematics (5164): Geometry and Measurement A cone has a radius of 4 cm and a slant height of 5 cm. What is the surface area of the cone? A. 20\(\pi\) \(\text{cm}^2\) B. 36\(\pi\) \(\text{cm}^2\) C. 40\(\pi\) \(\text{cm}^2\) D. 56\(\pi\) \(\text{cm}^2\) None 17. Praxis Mathematics (5164): Geometry and Measurement The ratio of the corresponding sides of two similar triangles is 3:4. If the area of the smaller triangle is 27 \(\text{cm}^2\), what is the area of the larger triangle? A. 36 \(\text{cm}^2\) B. 48 \(\text{cm}^2\) C. 64 \(\text{cm}^2\) D. 81 \(\text{cm}^2\) None 18. Praxis Mathematics (5164): Geometry and Measurement A circle has an arc length of 15 cm and a radius of 5 cm. What is the measure of the arc's central angle in radians? A. 3 B. \(\frac{15}{5}\) C. \(\frac{15}{\pi}\) D. \(\frac{5}{15}\) None 19. Praxis Mathematics (5164): Geometry and Measurement A trapezoid has bases of 8 cm and 14 cm and a height of 5 cm. What is the area of the trapezoid? A. 35 \(\text{cm}^2\) B. 55 \(\text{cm}^2\) C. 60 \(\text{cm}^2\) D. 110 \(\text{cm}^2\) None 20. Praxis Mathematics (5164): Geometry and Measurement What is the volume of a cylinder with a radius of 3 cm and a height of 10 cm? A. 90 \(\text{cm}^3\) B. 180 \(\text{cm}^3\) C. 270 \(\text{cm}^3\) D. 282.6 \(\text{cm}^3\) None 1 out of 20 Time is Up! Time's up
