Geometry and TrigonometryMediumIce cubes from a block
Geometry and Trigonometry practice question
A block of ice is a cube with edges of 10 centimetres. It is cut into smaller cubes with edges of 5 centimetres. What is the total surface area of all the small cubes, in square centimetres?
Answer: 1200
There are 8 small cubes, each with surface area 6 × 25 = 150, so 8 × 150 = 1,200.
Common wrong answers
- If you answered 150
- 150 is the surface area of one small cube.
- If you answered 600
- 600 is the surface area of the original block.
- If you answered 1000
- 1000 is the volume.
More Geometry and Trigonometry questions
- Medium
In a 45°-45°-90° right triangle, each leg has length 5. What is the length of the hypotenuse? - Medium
A cylinder has a radius of 3 and a height of 10. What is its volume? (Use V = πr²h.) - Medium
In a right triangle, the side opposite angle θ has length 3 and the hypotenuse has length 5. What is sin θ? - Medium
Two triangles are similar with a ratio of 2 to 3. A side of the smaller triangle measures 8. What is the lengt… - Medium
What is the distance between the points (1, 2) and (4, 6) in the coordinate plane? - Medium
A circle has a radius of 6. What is the area of a sector with a central angle of 60°?
Not affiliated with the College Board. SAT is a trademark of the College Board.