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Area and Volume

Math · Geometry and Trigonometry · 44 questions · every one comes with a full explanation.

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  1. 1Square A has side lengths that are 166 times the side lengths of square B. The area of square A is k times the area of square B. What is the value of k ?Hard · Geometry and Trigonometry
  2. 2A cube has an edge length of 68 inches. A solid sphere with a radius of 34 inches is inside the cube, such that the sphere touches the center of each face of the cube. To the neaHard · Geometry and Trigonometry
  3. 3The figure shown is a right circular cylinder with a radius of r and height of h . A second right circular cylinder (not shown) has a volume that is 392 times as large as the volHard · Geometry and Trigonometry
  4. 4A cube has a volume of 474,552 cubic units. What is the surface area, in square units, of the cube?Hard · Geometry and Trigonometry
  5. 5A right circular cone has a height of 22 centimeters cm and a base with a diameter of 6 cm. The volume of this cone is nπ cm3. What is the value of n ?Hard · Geometry and Trigonometry
  6. 6A manufacturer determined that right cylindrical containers with a height that is 4 inches longer than the radius offer the optimal number of containers to be displayed on a shelf.Hard · Geometry and Trigonometry
  7. 7A rectangular poster has an area of 360 square inches. A copy of the poster is made in which the length and width of the original poster are each increased by 20 %. What is the arHard · Geometry and Trigonometry
  8. 8A right rectangular prism has a length of 28 centimeters cm, a width of 15 cm, and a height of 16 cm. What is the surface area, in cm2, of the right rectangular prism?Hard · Geometry and Trigonometry
  9. 9A right circular cone has a volume of cubic feet and a height of 9 feet. What is the radius, in feet, of the base of the cone?Hard · Geometry and Trigonometry
  10. 10Two identical rectangular prisms each have a height of 90 centimeters cm. The base of each prism is a square, and the surface area of each prism is K cm2. If the prisms are glued tHard · Geometry and Trigonometry
  11. 11The volume of right circular cylinder A is 22 cubic centimeters. What is the volume, in cubic centimeters, of a right circular cylinder with twice the radius and half the height ofHard · Geometry and Trigonometry
  12. 12Moving from left to right, the points have the following coordinates: (negative 3 comma 4) (4 comma negative 3) (5 comma 3) What is the area, in square units, of the triangle forHard · Geometry and Trigonometry
  13. 13Circle A has a radius of 3 n and circle B has a radius of 129 n , where n is a positive constant. The area of circle B is how many times the area of circle A ?Hard · Geometry and Trigonometry
  14. 14The dimensions of a right rectangular prism are 4 inches by 5 inches by 6 inches. What is the surface area, in square inches, of the prism?Hard · Geometry and Trigonometry
  15. 15A right triangle has sides of length 2 2 , 6 2 , and 80 units. What is the area of the triangle, in square units?Hard · Geometry and Trigonometry
  16. 16Triangles ABC and DEF are similar. Each side length of triangle ABC is 4 times the corresponding side length of triangle DEF. The area of triangle ABC is 270 square inches. What Hard · Geometry and Trigonometry
  17. 17A cube has a surface area of 54 square meters. What is the volume, in cubic meters, of the cube?Hard · Geometry and Trigonometry