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Quizzes > High School Quizzes > Mathematics

5th Grade Volume Worksheets Practice Quiz

Boost confidence with interactive volume quizzes and worksheets

Difficulty: Moderate
Grade: Grade 5
Study OutcomesCheat Sheet
Paper art representing a trivia quiz on 3D volume calculations for middle school students.

What is the formula for the volume of a rectangular prism?
V = length + width + height
V = length × width × height
V = 2(length × width) + 2(length × height) + 2(width × height)
V = length × width
The volume of a rectangular prism is found by multiplying its length, width, and height. This multiplies the three dimensions to determine the space contained within the shape.
What is the volume of a cube with side length 4?
8
16
64
48
A cube's volume is calculated by raising the side length to the third power. Since 4³ equals 64, the correct volume is 64 cubic units.
If a rectangular box has dimensions 5, 3, and 2, what is its volume?
10
30
25
20
Multiply the dimensions: 5 × 3 × 2 equals 30 cubic units. This calculation provides the volume of the box.
Which unit is most appropriate for expressing volume?
Square meters
Cubic meters
Meters per second
Meters
Volume is measured in cubic units, such as cubic meters, which express three-dimensional space. This distinguishes volume measurements from area or linear measurements.
A rectangular prism has dimensions 2, 3, and 4. If the height is increased by 1 unit (from 4 to 5) while the length and width remain the same, what is the new volume?
24
30
34
28
The original volume is 2 × 3 × 4 = 24 cubic units. Increasing the height to 5 gives a new volume of 2 × 3 × 5 = 30 cubic units.
A cylinder has a radius of 3 units and a height of 7 units. Using π ≈ 3.14, what is the volume of the cylinder?
197.82
66
150
189
The volume of a cylinder is calculated using V = πr²h. Substituting the given values, we get 3.14 × (3²) × 7 = 3.14 × 9 × 7, which is approximately 197.82 cubic units.
A cube's side length is doubled. By what factor does its volume change?
2
4
8
16
Doubling the side length of a cube increases each dimension by a factor of 2, so the volume increases by 2³, which is 8 times the original volume. This reflects the three-dimensional scaling effect.
A rectangular prism has a volume of 120 cubic units. If its length is 5 units and width is 4 units, what is its height?
4
5
6
8
Using the formula V = length × width × height, the height can be calculated as height = 120 / (5 × 4) = 6. This directly derives from rearranging the volume formula.
Which formula correctly represents the volume of a cylinder?
V = 2πrh
V = πr²h
V = πrh²
V = 2πr²h
The volume of a cylinder is found by multiplying the area of its circular base by its height, which is given by V = πr²h. This distinguishes it from surface area formulas.
A swimming pool is 10 meters long, 4 meters wide, and 2 meters deep. How many cubic meters of water does it hold?
16
40
80
100
The pool's volume is calculated as length × width × depth. Multiplying 10 by 4 by 2 yields 80 cubic meters, which is the capacity of the pool.
A cylindrical water tank has a volume of 314 cubic units and a height of 7 units. Using π = 3.14, what is the approximate radius of the tank?
2
3.8
4.5
5.6
Rearranging the cylinder volume formula to r² = V / (πh) gives r² ≈ 314 / (3.14 × 7) ≈ 14.28, and taking the square root provides approximately 3.78, which rounds to 3.8 units. This method finds the correct radius.
If a sphere has a diameter of 6 units, what is its volume? Use the formula V = (4/3)πr³ and π ≈ 3.14.
36.00
56.52
113.04
226.08
The diameter of 6 units gives a radius of 3 units. Substituting into the formula yields V = (4/3) × 3.14 × 27 = 113.04 cubic units, making this the correct volume.
A rectangular prism has dimensions 4.5, 3.2, and 2.0 units. What is its volume?
10.7
28.8
30.0
36.0
Multiplying the dimensions 4.5, 3.2, and 2.0 gives a volume of 4.5 × 3.2 = 14.4, and then 14.4 × 2.0 = 28.8 cubic units. This step-by-step multiplication confirms the answer.
How many 1-cubic unit blocks are needed to fill a box with a volume of 54 cubic units?
54
53
56
27
Since each block occupies 1 cubic unit, the total number of blocks required equals the volume of the box. Therefore, 54 blocks are needed to fill the box.
A rectangular prism's length, width, and height are increased by 10% each. By approximately what percentage does the volume increase?
10%
30%
33%
43%
Increasing each dimension by 10% multiplies them by 1.1, so the new volume is 1.1³ times the original volume, which is approximately 1.331, or a 33% increase. This demonstrates how volume scales with percentage increases in each dimension.
A composite solid is made by stacking a cube with side 3 units on top of a rectangular prism with dimensions 3, 4, and 2 units. What is the total volume of the composite solid?
51
54
48
45
The volume of the cube is 3³ = 27 cubic units and the volume of the rectangular prism is 3 × 4 × 2 = 24 cubic units. Adding these together yields a total volume of 51 cubic units.
A cylindrical container and a rectangular box have the same height of 10 units. If the container has a radius of 2 units and the box has a square base with a side length of 4 units, which container holds a greater volume?
The cylinder holds more volume.
Both hold equal volumes.
The rectangular box holds more volume.
Cannot be determined.
The cylinder's volume is calculated as π × 2² × 10, which is approximately 125.6 cubic units, while the box's volume is 4² × 10 = 160 cubic units. A direct comparison shows that the box holds more volume.
A rectangular box has a volume of 200 cubic units. If its length and width are 5 and 4 units respectively, what must be its height?
8 units
9 units
10 units
12 units
Using the formula for volume, 200 = 5 × 4 × height, so height = 200 / 20 = 10 units. This rearrangement of the formula straightforwardly solves for the missing dimension.
A sphere and a cube have equal volumes. If the side length of the cube is 6 units, which of the following is closest to the radius of the sphere? (Use V_cube = s³ and V_sphere = (4/3)πr³ with π ≈ 3.14)
2.5 units
3.0 units
3.7 units
4.5 units
First, the cube's volume is 6³ = 216 cubic units. Setting the sphere's volume (4/3)πr³ equal to 216 and solving for r³ gives approximately 51.57, and the cube root of 51.57 is about 3.7 units.
A rectangular prism has dimensions 6 by 4 by 5 units, and a smaller rectangular notch of dimensions 2 by 2 by 2 units is removed from one corner. What is the volume of the remaining solid?
112
110
116
120
The volume of the original prism is 6 × 4 × 5 = 120 cubic units. Subtracting the volume of the notch, which is 2 × 2 × 2 = 8 cubic units, results in a remaining volume of 112 cubic units.
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Study Outcomes

  1. Understand the concept of volume and its applications in three-dimensional measurements.
  2. Apply volume formulas to calculate the space occupied by various solids.
  3. Analyze composite shapes to break down complex volume problems into simpler parts.
  4. Synthesize problem-solving strategies to approach volume calculations effectively.
  5. Evaluate real-world scenarios by interpreting three-dimensional volume measurements.

Volume Worksheet Quiz for 5th Grade Cheat Sheet

  1. Grasp Volume as 3D Space - Volume is all about how much space a three‑dimensional object takes up, measured in cubic units like cm³ or m³. Imagine filling your favorite mug with water - that's the volume you're measuring! Getting comfy with this idea is your ticket to nailing every formula that follows. GeeksforGeeks Volume Formulas
  2. Volume of a Cube (V = a³) - In a cube, all sides are equal, so you simply cube the side length. If each edge is 3 cm, then V = 3³ = 27 cm³ - easy peasy! This formula shows the power of exponents in 3D geometry. GeeksforGeeks Cube Volume
  3. Volume of a Rectangular Prism (V = l × w × h) - Multiply length, width, and height to find the volume of any box‑shaped object. For a prism 4 cm × 5 cm × 6 cm, you get 4 × 5 × 6 = 120 cm³. Think of it as slicing your shape into tiny cubes! GeeksforGeeks Prism Volume
  4. Volume of a Cylinder (V = πr²h) - A cylinder's volume is like stacking infinitely thin circles of radius r up to height h. Plug in π, radius squared, and height for V ≈ 3.14 × 3² × 10 ≈ 282.74 cm³. Perfect for cans and pipes! GeeksforGeeks Cylinder Volume
  5. Volume of a Cone (V = ⅓ πr²h) - Picture a pyramid with a circular base: that's a cone. You take one‑third of the cylinder formula. With r = 4 cm and h = 9 cm, V ≈ ½ × π × 4² × 9 ≈ 150.8 cm³. Great for ice creams! GeeksforGeeks Cone Volume
  6. Volume of a Sphere (V = ❴/₃ πr³) - For a perfect ball, multiply 4/3 by π and cube the radius. A 5 cm radius sphere has V ≈ 4.19 × 125 ≈ 523.6 cm³. It's like inflating math with a 3D twist! GeeksforGeeks Sphere Volume
  7. Volume of a Hemisphere (V = ²/₃ πr³) - Half a sphere? Simply take half the volume of a full sphere: V = 2/3 πr³. At r = 6 cm, you get V ≈ 2.09 × 216 ≈ 452.39 cm³. Useful for bowls and domes! GeeksforGeeks Hemisphere Volume
  8. Volume of a Prism (V = B × h) - For any prism, multiply the base area B by the height. If a triangular prism has B = 20 cm² and h = 15 cm, then V = 20 × 15 = 300 cm³. Base shape? Your playground! GeeksforGeeks General Prism Volume
  9. Volume of a Pyramid (V = ⅓ B × h) - A pyramid is like a pointy prism: use one‑third of the base area times height. With B = 36 cm² and h = 12 cm, you get V = 1/3 × 36 × 12 = 144 cm³. Perfect for pyramids and fancy rooftops! GeeksforGeeks Pyramid Volume
  10. Practice Real‑World Volume Problems - Dive into everyday scenarios - like packing boxes or filling containers - to see these formulas in action. Regular practice boosts your speed and confidence, turning volume challenges into your secret superpower! Online Math Learning Volume Formula
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