How to find the volume of a prism - SSAT Upper Level Quantitative
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Can we determine the volume of this shape?
Can we determine the volume of this shape?
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Volume is a characteristic of three-dimensional shapes. This is a cube, which is a three-dimensional shape. We can think of volume as space within an object or shape, so the volume would be the amount of space inside this cube.
Volume is a characteristic of three-dimensional shapes. This is a cube, which is a three-dimensional shape. We can think of volume as space within an object or shape, so the volume would be the amount of space inside this cube.
Can we determine the volume of this shape?
Can we determine the volume of this shape?
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Volume is a characteristic of three-dimensional shapes. This is a rectangular prism, which is a three-dimensional shape. We can think of volume as space within an object or shape, so the volume would be the amount of space inside this rectangular prism.
Volume is a characteristic of three-dimensional shapes. This is a rectangular prism, which is a three-dimensional shape. We can think of volume as space within an object or shape, so the volume would be the amount of space inside this rectangular prism.
A given rectangular prism has a length of 
, a width of 
, and a height of 
. What is the volume of the prism?
A given rectangular prism has a length of
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The volume of a given prism 
, where 
is the base area and 
is the height. For a rectangular prism, the base area 
, or length times width. Therefore:
Substituting in our known values:
The volume of a given prism
Substituting in our known values:
Find the volume of a circular prism with a base radius of 
and a height of 
.
Find the volume of a circular prism with a base radius of
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The volume of a given prism 
, where 
is the base area and 
is the height. For a circular prism, the base area 
, or pi times the square of the radius. Therefore:
Substituting in our known values:
The volume of a given prism
Substituting in our known values:
A triangular prism has a triangle base length of 
, a triangle height length of 
, and a prism height of 
. What is the volume of the prism?
A triangular prism has a triangle base length of
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The volume of a given prism 
, where 
is the base area and 
is the prism height. For a triangular prism, the base area 
, where 
is the base of the triangle and 
is the height of the triangle (not of the prism).
Therefore, we can substitute the base area equation into the equation for the volume of a prism:
Substituting in our known values:
The volume of a given prism
Therefore, we can substitute the base area equation into the equation for the volume of a prism:
Substituting in our known values:
A given rectangular prism has a length of 
, a width of 
, and a height of 
. What is the volume of the prism?
A given rectangular prism has a length of
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The volume 
of a rectangular prism is the product of its base area 
and its height 
: 
. Since we can determine the base area of the rectangular prism from its length and width, we can rewrite the equation and solve:
The volume
Can we determine the volume of this shape?
Can we determine the volume of this shape?
Tap to see back →
Volume is a characteristic of three-dimensional shapes. This is a cube, which is a three-dimensional shape. We can think of volume as space within an object or shape, so the volume would be the amount of space inside this cube.
Volume is a characteristic of three-dimensional shapes. This is a cube, which is a three-dimensional shape. We can think of volume as space within an object or shape, so the volume would be the amount of space inside this cube.
A given rectangular prism has a length of 
, a width of 
, and a height of 
, what is its volume?
A given rectangular prism has a length of
Tap to see back →
The volume 
of a rectangular prism is the product of its base area 
and its height 
: 
. Since we can determine the base area of the rectangular prism from its length and width, we can rewrite the equation and solve:
The volume
What is the volume of the shape below?
What is the volume of the shape below?
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The formula for volume of a rectangular prism is 
Remember, volume is always labeled as units to the third power.
The formula for volume of a rectangular prism is
Remember, volume is always labeled as units to the third power.
What is the volume of the shape below?
What is the volume of the shape below?
Tap to see back →
The formula for volume of a rectangular prism is 
Remember, volume is always labeled as units to the third power.
The formula for volume of a rectangular prism is
Remember, volume is always labeled as units to the third power.
What is the volume of the shape below?
What is the volume of the shape below?
Tap to see back →
The formula for volume of a rectangular prism is 
Remember, volume is always labeled as units to the third power.
The formula for volume of a rectangular prism is
Remember, volume is always labeled as units to the third power.
Can we determine the volume of this shape?
Can we determine the volume of this shape?
Tap to see back →
Volume is a characteristic of three-dimensional shapes. This is a cylinder, which is a three-dimensional shape. We can think of volume as space within an object or shape, so the volume would be the amount of space inside this cylinder.
Volume is a characteristic of three-dimensional shapes. This is a cylinder, which is a three-dimensional shape. We can think of volume as space within an object or shape, so the volume would be the amount of space inside this cylinder.
What is the volume of the shape below?
What is the volume of the shape below?
Tap to see back →
The formula for volume of a rectangular prism is 
Remember, volume is always labeled as units to the third power.
The formula for volume of a rectangular prism is
Remember, volume is always labeled as units to the third power.
What is the volume of the shape below?
What is the volume of the shape below?
Tap to see back →
The formula for volume of a rectangular prism is 
Remember, volume is always labeled as units to the third power.
The formula for volume of a rectangular prism is
Remember, volume is always labeled as units to the third power.
What is the volume of the shape below?
What is the volume of the shape below?
Tap to see back →
The formula for volume of a rectangular prism is 
Remember, volume is always labeled as units to the third power.
The formula for volume of a rectangular prism is
Remember, volume is always labeled as units to the third power.
What is the volume of the shape below?
What is the volume of the shape below?
Tap to see back →
The formula for volume of a rectangular prism is 
Remember, volume is always labeled as units to the third power.
The formula for volume of a rectangular prism is
Remember, volume is always labeled as units to the third power.
Can we determine the volume of this shape?
Can we determine the volume of this shape?
Tap to see back →
Volume is a characteristic of three-dimensional shapes. This is a cylinder, which is a three-dimensional shape. We can think of volume as space within an object or shape, so the volume would be the amount of space inside this cylinder.
Volume is a characteristic of three-dimensional shapes. This is a cylinder, which is a three-dimensional shape. We can think of volume as space within an object or shape, so the volume would be the amount of space inside this cylinder.
What is the volume of the shape below?
What is the volume of the shape below?
Tap to see back →
The formula for volume of a rectangular prism is 
Remember, volume is always labeled as units to the third power.
The formula for volume of a rectangular prism is
Remember, volume is always labeled as units to the third power.
What is the volume of the shape below?
What is the volume of the shape below?
Tap to see back →
The formula for volume of a rectangular prism is 
Remember, volume is always labeled as units to the third power.
The formula for volume of a rectangular prism is
Remember, volume is always labeled as units to the third power.
What is the volume of the shape below?
What is the volume of the shape below?
Tap to see back →
The formula for volume of a rectangular prism is 
Remember, volume is always labeled as units to the third power.
The formula for volume of a rectangular prism is
Remember, volume is always labeled as units to the third power.