SAT Math · Geometry and Trigonometry
Area and volume practice questions
Each free question on this page comes with its answer and a full explanation, and each one is marked easy, medium or hard.
- Question 45 · mediumA cylinder has radius 3 and height 8. A cone with radius 6 has the same volume as the cylinder. What is the height of the cone?
- Question 46 · mediumA closed rectangular box has length 4, width 5, and height 6. If the top face of the box is removed, what is the total surface…
- Question 47 · hardThe volume of a cube increases by 72.8% after each edge of the cube is scaled by the same factor. By what percent does each edge…
- Question 101 · easyA cylinder and a cone have the same radius and the same height. What is the ratio of the cylinder's volume to the cone's volume?
- Question 122 · easyTwo similar rectangular gardens have corresponding side lengths in the ratio 3:4. What is the ratio of their areas?
- Question 123 · mediumTwo similar solids have corresponding linear dimensions in the ratio 2:5. If the volume of the smaller solid is 40, what is the…
- Question 124 · mediumA square has side length 10. A circle with radius 3 is cut out from the center of the square. In terms of π, what is the…
- Question 141 · easyA triangle has vertices at (0,0), (6,0), and (0,8). What is the area of the triangle?
- Question 142 · easyA circular pie chart has a total area of 48 square inches. If one sector of the chart represents a central angle of 90°, what is…
- Question 144 · hardA cube with edge length 5 is painted on all six faces, then cut into 125 unit cubes (each with edge length 1). How many of the…
- Question 319 · mediumTwo similar rectangular fields have corresponding side lengths in the ratio 4:7. If the smaller field has area 32 square meters,…