ACT Math · Geometry
Area and volume practice questions
Each free question on this page comes with its answer and a full explanation.
- Question 24A solid is formed by removing a cone from inside a cylinder that shares the same base and height. The cylinder has radius 5 and…
- Question 40A rectangular plot of land measures 24 feet by 18 feet. What is its area in square yards? (1 yard = 3 feet)
- Question 66A sphere has radius 6. Which value is closest to its volume?
- Question 107A trapezoid has parallel bases of length 8 and 14, and a height of 6. What is its area?
- Question 111A rectangular prism has length 5, width 4, and height 3. What is its total surface area?
- Question 126A room measures 15 feet by 12 feet. What is its area in square inches? (1 foot = 12 inches)
- Question 140A garden's length is 5 more than 3 times its width. If the perimeter is 58 feet, what is the area of the garden?
- Question 150A rectangular box has dimensions 6 by 8 by 10. Which value is closest to the length of its longest interior diagonal?
- Question 151Two similar cylinders have radii in a ratio of 2:5. What is the ratio of their volumes?
- Question 153A kite has diagonals of length 10 and 16. What is its area?
- Question 156A cone has radius 6 and height 10. Which value is closest to its volume?
- Question 193A regular hexagon has side length 6. Which value is closest to its area? (Area of a regular hexagon = 3√(3)2s²)
- Question 200A square has side length 10. A semicircle with diameter 10 is removed from one side. Which value is closest to the remaining area?
- Question 255A parallelogram has a base of 12 and a height of 7. What is its area?
- Question 256A storage container is shaped like a rectangular prism measuring 6 by 4 by 5, topped with a pyramid of the same base and a…
- Question 263A cylinder has radius 4 and height 9. Which value is closest to its total surface area?
- Question 297A room measures 12 feet by 15 feet. If flooring costs $3.50 per square foot, what is the total cost to floor the room?