Sure! Here’s an exam focused solely on measurements of area and capacity.
The exam includes a variety
of question types to assess different levels of understanding.
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Exam: Measurements of Area and Capacity
Instructions: Answer all questions to the best of your ability. Show all work for calculations.
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Section A: Multiple Choice (1 point each)
1. What is the area of a rectangle with a length of 10 cm and a width of 5 cm?
a) 15 cm²
b) 50 cm²
c) 25 cm²
d) 100 cm²
2. Which unit is commonly used to measure the capacity of a liquid?
a) Square meter
b) Liter
c) Centimeter
d) Kilogram
3. If a square has a side length of 4 m, what is its area?
a) 8 m²
b) 12 m²
c) 16 m²
d) 20 m²
4. How many milliliters are in 2 liters?
a) 200 ml
b) 500 ml
c) 1000 ml
d) 2000 ml
5. Which shape has the largest area?
a) Circle with radius 3 cm
b) Triangle with base 6 cm and height 4 cm
c) Rectangle with length 5 cm and width 5 cm
d) Square with side length 4 cm
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Section B: Short Answer (2 points each)
of 5 cm.
7. A cylindrical container has a radius of 7 cm and a height of 10 cm. What is its capacity in cubic
centimeters? (Use π ≈ 3.14)
8. Convert 5000 milliliters to liters.
9. Find the area of a trapezoid with bases measuring 8 cm and 6 cm, and a height of 4 cm.
10. A garden is shaped like a circle with a diameter of 10 m. What is the area of the garden? (Use π ≈
3.14)
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Section C: Problem Solving (3 points each)
11. A swimming pool measures 25 m in length and 10 m in width. If the pool is filled with water to a
depth of 2 m, what is the capacity of the pool in liters? (1 m³ = 1000 liters)
12. A rectangular field has an area of 1200 m². If the length is twice the width, find the dimensions of the
field.
13. A cake is in the shape of a cylinder with a radius of 5 inches and a height of 3 inches. Calculate the
volume of the cake in cubic inches.
14. A rectangular box has dimensions of 30 cm, 20 cm, and 10 cm. What is its total capacity in liters?
15. A farmer wants to fence a circular area for sheep with a radius of 15 m. How much fencing material
does he need? (Use π ≈ 3.14)
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Section D: True or False (1 point each)
16. The area of a parallelogram can be calculated using the formula: Area = base × height.
True / False
17. One liter is equivalent to 1000 cubic centimeters.
True / False
18. The area of a circle is calculated using the formula: Area = π × diameter².
True / False
19. Capacity is always measured in square units.
True / False
20. The area of an irregular shape can be estimated by dividing it into regular shapes
## Measurement of Area and Capacity Exam: Choose Only
Instructions: Choose the best answer for each multiple-choice question.
Part 1: Area (1 point each)
1. Area is measured in:
a) Grams
b) Liters
c) Square units (e.g., square meters, square feet)
d) Cubic units (e.g., cubic centimeters, cubic yards)
2. The formula for the area of a rectangle is:
a) length + width
b) length x width
c) 2 x (length + width)
d) ½ x base x height
3. The formula for the area of a triangle is:
a) length x width
b) base x height
c) ½ x base x height
d) πr²
4. What is the area of a square with sides of 5 cm?
a) 10 cm²
b) 20 cm²
c) 25 cm²
d) 100 cm²
5. If a rectangle has a length of 8 meters and a width of 3 meters, what is its area?
a) 11 square meters
b) 22 square meters
c) 24 square meters
d) 11 meters
Part 2: Capacity (1 point each)
1. Capacity is a measure of:
a) How much space something takes up
b) How heavy something is
c) How much a container can hold
d) How long something is
2. Capacity is commonly measured in:
a) square meters
b) kilograms
c) liters and gallons
d) kilometers
3. Which unit is larger, a milliliter (mL) or a liter (L)?
a) milliliter
b) liter
c) they are equal
d) it depends on the substance
4. A typical soda bottle holds approximately:
a) 10 mL
b) 500 mL
c) 10 L
d) 1000 L
Part 3: Combined Area and Capacity (2 points each)
1. A rectangular fish tank measures 60 cm long, 30 cm wide, and 40 cm high. What is the volume
(capacity) of the tank in cubic centimeters? Remember, Volume = length x width x height.
a) 72000 cm³
b) 130 cm³
c) 7200 cm³
d) 1300 cm³
2. A rectangular garden is 10 meters long and 5 meters wide. What is the area of the garden? If you
need 10 liters of water per square meter to water the garden, how much water do you need in total?
a) 50 m², 500 liters
b) 15 m², 150 liters
c) 50 m², 50 liters
d) 15 m², 15 liters
3. A rectangular prism has a base area of 20 square inches and a height of 5 inches. What is its volume?
a) 100 cubic inches
b) 25 cubic inches
c) 100 square inches
d) 25 square inches
Part 4: Challenge Problem (5 points)
A cylindrical water tank has a radius of 2 meters and a height of 5 meters. What is the volume (capacity)
of the tank in cubic meters? (Use π ≈ 3.14) Remember, the volume of a cylinder is πr²h.
Answer Key:
Part 1:
1. c)
2. b)
3. c)
4. c)
5. c)
Part 2:
1. c)
2. c)
3. b)
4. b)
Part 3:
1. a)
2. a)
3. a)
Part 4: Volume = πr²h = 3.14 x (2m)² x 5m = 62.8 cubic meters
