Understand Unit Cube Concept - 5th Grade Math
Card 1 of 20
Which unit correctly measures volume: $cm$, $cm^2$, or $cm^3$?
Which unit correctly measures volume: $cm$, $cm^2$, or $cm^3$?
Tap to reveal answer
$cm^3$. Volume requires three dimensions, shown by the exponent $3$.
$cm^3$. Volume requires three dimensions, shown by the exponent $3$.
← Didn't Know|Knew It →
What is the volume of a cube with side length $1$ unit (write a number with units)?
What is the volume of a cube with side length $1$ unit (write a number with units)?
Tap to reveal answer
$1$ cubic unit. A unit cube has volume $1^3 = 1$ cubic unit by definition.
$1$ cubic unit. A unit cube has volume $1^3 = 1$ cubic unit by definition.
← Didn't Know|Knew It →
What is the meaning of “$1$ cubic unit” in terms of unit cubes?
What is the meaning of “$1$ cubic unit” in terms of unit cubes?
Tap to reveal answer
The space filled by exactly $1$ unit cube. One cubic unit equals the volume of one unit cube.
The space filled by exactly $1$ unit cube. One cubic unit equals the volume of one unit cube.
← Didn't Know|Knew It →
Which unit correctly measures volume: $m$, $m^2$, or $m^3$?
Which unit correctly measures volume: $m$, $m^2$, or $m^3$?
Tap to reveal answer
$m^3$. The exponent $3$ indicates three-dimensional measurement.
$m^3$. The exponent $3$ indicates three-dimensional measurement.
← Didn't Know|Knew It →
What is the volume of $2$ layers, each containing $6$ unit cubes?
What is the volume of $2$ layers, each containing $6$ unit cubes?
Tap to reveal answer
$12$ cubic units. Total volume = $2$ layers × $6$ cubes/layer = $12$ cubic units.
$12$ cubic units. Total volume = $2$ layers × $6$ cubes/layer = $12$ cubic units.
← Didn't Know|Knew It →
What is the volume of a cube with side length $2$ units (in cubic units)?
What is the volume of a cube with side length $2$ units (in cubic units)?
Tap to reveal answer
$8$ cubic units. Volume = $2^3 = 2 imes 2 imes 2 = 8$ cubic units.
$8$ cubic units. Volume = $2^3 = 2 imes 2 imes 2 = 8$ cubic units.
← Didn't Know|Knew It →
What is a unit cube in geometry (use the definition with side length $1$ unit)?
What is a unit cube in geometry (use the definition with side length $1$ unit)?
Tap to reveal answer
A cube with side length $1$ unit. Each edge measures exactly $1$ unit in length.
A cube with side length $1$ unit. Each edge measures exactly $1$ unit in length.
← Didn't Know|Knew It →
Identify the correct unit for volume: “The volume is $15$ $in^3$” or “$15$ $in^2$”.
Identify the correct unit for volume: “The volume is $15$ $in^3$” or “$15$ $in^2$”.
Tap to reveal answer
$15$ $in^3$. Cubic inches ($in^3$) measure volume; square inches ($in^2$) measure area.
$15$ $in^3$. Cubic inches ($in^3$) measure volume; square inches ($in^2$) measure area.
← Didn't Know|Knew It →
What does the exponent $3$ mean in the unit $ft^3$?
What does the exponent $3$ mean in the unit $ft^3$?
Tap to reveal answer
It means cubic units: $ft \times ft \times ft$. The exponent shows three multiplied dimensions.
It means cubic units: $ft \times ft \times ft$. The exponent shows three multiplied dimensions.
← Didn't Know|Knew It →
What does $1$ cubic unit represent as a product of lengths of a unit cube?
What does $1$ cubic unit represent as a product of lengths of a unit cube?
Tap to reveal answer
$1 \times 1 \times 1$ cubic units. Unit cube dimensions: $1$ unit × $1$ unit × $1$ unit.
$1 \times 1 \times 1$ cubic units. Unit cube dimensions: $1$ unit × $1$ unit × $1$ unit.
← Didn't Know|Knew It →
What does the word “cubic” tell you about the units used to measure volume?
What does the word “cubic” tell you about the units used to measure volume?
Tap to reveal answer
Volume is measured in $3$-D units (cubic units). Cubic refers to three dimensions: length × width × height.
Volume is measured in $3$-D units (cubic units). Cubic refers to three dimensions: length × width × height.
← Didn't Know|Knew It →
What volume is a unit cube said to have (state it in cubic units)?
What volume is a unit cube said to have (state it in cubic units)?
Tap to reveal answer
It has volume $1$ cubic unit. By definition, a unit cube contains exactly $1$ cubic unit.
It has volume $1$ cubic unit. By definition, a unit cube contains exactly $1$ cubic unit.
← Didn't Know|Knew It →
Find the volume in cubic units if a prism is built from $3$ rows of $5$ unit cubes (one layer).
Find the volume in cubic units if a prism is built from $3$ rows of $5$ unit cubes (one layer).
Tap to reveal answer
$15$ cubic units. Volume = $3$ rows × $5$ cubes/row = $15$ cubic units.
$15$ cubic units. Volume = $3$ rows × $5$ cubes/row = $15$ cubic units.
← Didn't Know|Knew It →
Choose the correct unit for a unit cube with $1$-inch edges: $1$ $in^3$ or $1$ $in^2$?
Choose the correct unit for a unit cube with $1$-inch edges: $1$ $in^3$ or $1$ $in^2$?
Tap to reveal answer
$1$ $in^3$. Cubic inches measure volume; square inches measure area.
$1$ $in^3$. Cubic inches measure volume; square inches measure area.
← Didn't Know|Knew It →
Which statement is correct: a unit cube measures area or a unit cube measures volume?
Which statement is correct: a unit cube measures area or a unit cube measures volume?
Tap to reveal answer
A unit cube measures volume. Unit cubes are 3D objects that measure volume, not 2D area.
A unit cube measures volume. Unit cubes are 3D objects that measure volume, not 2D area.
← Didn't Know|Knew It →
What is the volume of a single layer that contains $9$ unit cubes (one cube tall)?
What is the volume of a single layer that contains $9$ unit cubes (one cube tall)?
Tap to reveal answer
$9$ cubic units. One layer of $9$ unit cubes has volume $9$ cubic units.
$9$ cubic units. One layer of $9$ unit cubes has volume $9$ cubic units.
← Didn't Know|Knew It →
What is the volume if a solid is completely filled by $12$ unit cubes?
What is the volume if a solid is completely filled by $12$ unit cubes?
Tap to reveal answer
$12$ cubic units. Count unit cubes: $12$ cubes = $12$ cubic units.
$12$ cubic units. Count unit cubes: $12$ cubes = $12$ cubic units.
← Didn't Know|Knew It →
What is the volume of a rectangular prism that fits $4$ unit cubes with no gaps?
What is the volume of a rectangular prism that fits $4$ unit cubes with no gaps?
Tap to reveal answer
$4$ cubic units. Each unit cube contributes $1$ cubic unit to total volume.
$4$ cubic units. Each unit cube contributes $1$ cubic unit to total volume.
← Didn't Know|Knew It →
What is the volume of a cube with side length $3$ units (in cubic units)?
What is the volume of a cube with side length $3$ units (in cubic units)?
Tap to reveal answer
$27$ cubic units. Volume = $3^3 = 3 imes 3 imes 3 = 27$ cubic units.
$27$ cubic units. Volume = $3^3 = 3 imes 3 imes 3 = 27$ cubic units.
← Didn't Know|Knew It →
What is the volume in cubic units if a solid is built from $2$ layers of $3 \times 4$ unit cubes?
What is the volume in cubic units if a solid is built from $2$ layers of $3 \times 4$ unit cubes?
Tap to reveal answer
$24$ cubic units. Volume = $2$ layers $\times$ $(3 \times 4)$ cubes/layer = $24$ cubic units.
$24$ cubic units. Volume = $2$ layers $\times$ $(3 \times 4)$ cubes/layer = $24$ cubic units.
← Didn't Know|Knew It →