Geometry and TrigonometryEasy–MediumPaint needed for a box's outside
Geometry and Trigonometry practice question
A closed box is 7 cm by 4 cm by 3 cm. Which expression gives the total area, in square centimetres, to be painted if all six outside faces are painted?
- A. 2(7 × 4) + 2(7 × 3) + 2(4 × 3)Correct
- B. 7 × 4 × 3
- C. 7 × 4 + 7 × 3 + 4 × 3
- D. 2(7 + 4 + 3)
Answer: A. 2(7 × 4) + 2(7 × 3) + 2(4 × 3)
Surface area of a box: two of each of the three different faces.
Why the other answers are wrong
- B. 7 × 4 × 3
- 7 × 4 × 3 is the volume.
- C. 7 × 4 + 7 × 3 + 4 × 3
- Counts each face once; a box has two of each.
- D. 2(7 + 4 + 3)
- 2(7 + 4 + 3) adds edge lengths, not areas.
More Geometry and Trigonometry questions
- Easy–Medium
A circle has a radius of 6. What is its area? (Use A = πr².) - Easy–Medium
A right triangle has legs of length 6 and 8. What is the length of the hypotenuse? - Easy–Medium
A circle has a radius of 5. What is its circumference? (Use C = 2πr.) - Easy–Medium
What is the midpoint of the segment joining the points (2, 3) and (8, 11)? - Easy–Medium
What is the measure, in degrees, of angle B? - Easy–Medium
What is the area, in square centimeters, of the trapezoid?
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