PassEveryTest
English

Trade Mathematics Course: Perimeter, area and volume

Untimed topic quiz: 15 questions on Perimeter, area and volume, with an explanation after each answer. Questions and answers are shuffled every time.

  • Course
  • Canada
  • 90 questions
  • Checked October 13, 2026
  • Fact-checked October 13, 2026
Start with the lessonsTrade Mathematics Course: Lessons: about 240 minutes of reading. Every test question is covered in the lessons.

Topic quiz 3: Perimeter, area and volume

  1. Question 1 of 15

    A rectangular room is 4.2 m by 3.6 m. What is its perimeter?
    Show answer

    Answer: C. 15.6 m

    Perimeter = 2 × (length + width) = 2 × (4.2 + 3.6) = 15.6 m. (15.12 is the area in m².)

  2. Question 2 of 15

    A room is 14 ft by 11 ft. Baseboard goes around the room except across a 3 ft doorway. How much baseboard is needed?
    Show answer

    Answer: B. 47 ft

    Perimeter = 2 × (14 + 11) = 50 ft. Take away the doorway: 50 − 3 = 47 ft.

  3. Question 3 of 15

    A wall is 16 ft long and 8 ft high. It has one window 3 ft wide and 4 ft high. What wall area needs drywall?
    Show answer

    Answer: A. 116 ft²

    Wall = 16 × 8 = 128 ft². Window = 3 × 4 = 12 ft². 128 − 12 = 116 ft².

  4. Question 4 of 15

    A triangular gable end has a base of 24 ft and a height of 6 ft. What is its area?
    Show answer

    Answer: C. 72 ft²

    Triangle area = base × height ÷ 2 = 24 × 6 ÷ 2 = 72 ft².

  5. Question 5 of 15

    A round duct has a diameter of 6 in. What is the area of its opening, to two decimal places?
    Show answer

    Answer: B. 28.27 in²

    Circle area = π × radius². The radius is half the diameter (3 in): 3.1416 × 3 × 3 = 28.27 in².

  6. Question 6 of 15

    A pipe has an outside diameter of 4.5 in. A welder runs one pass all the way around it. About how long is the weld?
    Show answer

    Answer: C. 14.14 in

    The distance around a circle is the circumference = π × diameter = 3.1416 × 4.5 = 14.14 in.

  7. Question 7 of 15

    A concrete slab is 6 m long, 4 m wide and 100 mm thick. What is its volume?
    Show answer

    Answer: A. 2.4 m³

    Change 100 mm to 0.1 m first. Volume = 6 × 4 × 0.1 = 2.4 m³.

  8. Question 8 of 15

    A slab is 20 ft by 12 ft and 4 in thick. How many cubic yards of concrete is that, to two decimal places?
    Show answer

    Answer: D. 2.96 yd³

    4 in = 1/3 ft, so the volume is 20 × 12 × 1/3 = 80 ft³. Divide by 27 ft³ per cubic yard: 80 ÷ 27 = 2.96 yd³.

  9. Question 9 of 15

    A strip footing is 30 m long, 600 mm wide and 250 mm deep. What volume of concrete does it need?
    Show answer

    Answer: A. 4.5 m³

    Use metres: 30 × 0.6 × 0.25 = 4.5 m³.

  10. Question 10 of 15

    A round concrete column form has a diameter of 300 mm and is 2.4 m tall. What volume does it hold, to two decimal places?
    Show answer

    Answer: D. 0.17 m³

    Cylinder volume = π × radius² × height. Radius = 0.15 m: 3.1416 × 0.15 × 0.15 × 2.4 = 0.17 m³.

  11. Question 11 of 15

    A rectangular tank is 1.2 m long, 0.8 m wide and 0.5 m deep. How many litres does it hold when full? (1 L = 1/1,000 m³)
    Show answer

    Answer: A. 480 L

    Volume = 1.2 × 0.8 × 0.5 = 0.48 m³. Each cubic metre is 1,000 L, so 0.48 × 1,000 = 480 L.

  12. Question 12 of 15

    An L-shaped floor fits inside a 10 m by 8 m rectangle, with a 4 m by 3 m corner missing. What is the floor area?
    Show answer

    Answer: A. 68 m²

    Find the full rectangle and subtract the missing corner: 10 × 8 − 4 × 3 = 80 − 12 = 68 m².

  13. Question 13 of 15

    A water line is 50 m long with an inside diameter of 50 mm. About how many litres of water does it hold?
    Show answer

    Answer: A. 98.2 L

    Radius = 25 mm = 0.025 m. Volume = 3.1416 × 0.025² × 50 = 0.0982 m³, and 0.0982 × 1,000 = 98.2 L.

  14. Question 14 of 15

    A room is 5 m by 4 m, with walls 2.4 m high. What is the total area of the four walls (ignore doors and windows)?
    Show answer

    Answer: B. 43.2 m²

    Wall area = perimeter × height = 2 × (5 + 4) × 2.4 = 18 × 2.4 = 43.2 m².

  15. Question 15 of 15

    A trench is 40 ft long, 2 ft wide and 18 in deep. How many cubic yards of gravel will fill it, to two decimal places?
    Show answer

    Answer: D. 4.44 yd³

    18 in = 1.5 ft. Volume = 40 × 2 × 1.5 = 120 ft³. 120 ÷ 27 = 4.44 yd³.