Volume of a Rectangular Solid - Pre-Algebra
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A rectangular box has a length of 2 meters, a width of 0.5 meters, and a height of 3.2 meters. How many cubes with a volume of one cubic centimeter could fit into this rectangular box?
A rectangular box has a length of 2 meters, a width of 0.5 meters, and a height of 3.2 meters. How many cubes with a volume of one cubic centimeter could fit into this rectangular box?
In order to figure out how many cubic centimeters can fit into the box, we need to figure out the volume of the box in terms of cubic centimeters. However, the measurements of the box are given in meters. Therefore, we need to convert these measurements to centimeters and then determine the volume of the box.
There are 100 centimeters in one meter. This means that in order to convert from meters to centimeters, we must multiply by 100.
The length of the box is 2 meters, which is equal to 2 x 100, or 200, centimeters.
The width of the box is 0.5(100) = 50 centimeters.
The height of the box is 3.2(100) = 320 centimeters.
Now that all of our measurements are in centimeters, we can calculate the volume of the box in cubic centimeters. Remember that the volume of a rectangular box (or prism) is equal to the product of the length, width, and height.
V = length x width x height
V = (200 cm)(50 cm)(320 cm) = 3,200,000 cm3
To rewrite this in scientific notation, we must move the decimal six places to the left.
V = 3.2 x 106 cm3
The answer is 3.2 x 106.
In order to figure out how many cubic centimeters can fit into the box, we need to figure out the volume of the box in terms of cubic centimeters. However, the measurements of the box are given in meters. Therefore, we need to convert these measurements to centimeters and then determine the volume of the box.
There are 100 centimeters in one meter. This means that in order to convert from meters to centimeters, we must multiply by 100.
The length of the box is 2 meters, which is equal to 2 x 100, or 200, centimeters.
The width of the box is 0.5(100) = 50 centimeters.
The height of the box is 3.2(100) = 320 centimeters.
Now that all of our measurements are in centimeters, we can calculate the volume of the box in cubic centimeters. Remember that the volume of a rectangular box (or prism) is equal to the product of the length, width, and height.
V = length x width x height
V = (200 cm)(50 cm)(320 cm) = 3,200,000 cm3
To rewrite this in scientific notation, we must move the decimal six places to the left.
V = 3.2 x 106 cm3
The answer is 3.2 x 106.
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If a cube is 
inches tall, what is its volume?
If a cube is
To find the volume of a cube, we multiply length by width by height, which can be represented with the forumla 
. Since a cube has equal sides, we can use 
for all three values.
To find the volume of a cube, we multiply length by width by height, which can be represented with the forumla
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What is the volume of a cube with a side length equal to 
inches?
What is the volume of a cube with a side length equal to
The volume of a a cube (or rectangular prism) can be solved using the following equation:
The volume of a a cube (or rectangular prism) can be solved using the following equation:
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A rectangular prism has length 24 inches, width 18 inches, and height 15 inches. Give its volume in cubic feet.
A rectangular prism has length 24 inches, width 18 inches, and height 15 inches. Give its volume in cubic feet.
Divide each dimension in inches by 12 to convert from inches to feet:
feet
feet
feet
Multiply the three to get the volume:
cubic feet
Divide each dimension in inches by 12 to convert from inches to feet:
Multiply the three to get the volume:
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The volume of a cube is 
. What is the length of an edge of the cube?
The volume of a cube is
Let 
be the length of an edge of the cube. The volume of a cube can be determined by the equation:
Let
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Trayvon ordered a new calculator online for his Pre-Algebra class. When it arrived in the mail, he noticed something interesting about the rectangular box it was shipped in. The width of the box was twice the height, and the length of the box was three times the width. If the box was four inches tall, what was the volume of the box?
Trayvon ordered a new calculator online for his Pre-Algebra class. When it arrived in the mail, he noticed something interesting about the rectangular box it was shipped in. The width of the box was twice the height, and the length of the box was three times the width. If the box was four inches tall, what was the volume of the box?
If the box is 4 inches tall, then its height is 4in. Since the width is twice the height, the width must be 8 inches. Since the length is three times the width, the length must be 24 inches. Since a rectangular box is just a rectangular solid, the formula for the volume of a rectangular solid will give us the volume of the Trayvon's box.
, where 
is length, 
is width, and 
is height. Therefore,
Since the unit of each of our dimensions was inches, our volume will be in cubic inches. Thus our answer is 
If the box is 4 inches tall, then its height is 4in. Since the width is twice the height, the width must be 8 inches. Since the length is three times the width, the length must be 24 inches. Since a rectangular box is just a rectangular solid, the formula for the volume of a rectangular solid will give us the volume of the Trayvon's box.
Since the unit of each of our dimensions was inches, our volume will be in cubic inches. Thus our answer is
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An aquarium is shaped like a perfect cube; the perimeter of each glass face is 
meters. If it is filled to the recommended 
capacity, then, to the nearest hundred cubic liters, how much water will it contain?
Note:
An aquarium is shaped like a perfect cube; the perimeter of each glass face is
Note:
A perfect cube has square faces; if a face has perimeter 
meters, then each side of each face measures one fourth of this, or 
meters. The volume of the tank is the cube of this, or
cubic meters.
Its capacity in liters is 
liters.
of this is
liters.
This rounds to
liters, the correct response.
A perfect cube has square faces; if a face has perimeter
Its capacity in liters is
This rounds to
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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
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:
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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
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
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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
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
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The length, width, and height of box is 
respectively. What is the volume of the rectangular box?
The length, width, and height of box is
Write the formula to find the volume of a rectangular solid.
Substitute the dimensions.
Write the formula to find the volume of a rectangular solid.
Substitute the dimensions.
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Find the volume of a rectangular box if the length, width, and height are 
respectively.
Find the volume of a rectangular box if the length, width, and height are
Write the formula to find the volume of a rectangular prism.
Substitute the dimensions.
Write the formula to find the volume of a rectangular prism.
Substitute the dimensions.
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Find the volume of a rectangular solid if the base area is 
and the height is 
.
Find the volume of a rectangular solid if the base area is
Write the formula to find the volume of the rectangular solid.
The area of the base is length times width, and is already given. Multiply the area of the base with the height to obtain the volume.
Write the formula to find the volume of the rectangular solid.
The area of the base is length times width, and is already given. Multiply the area of the base with the height to obtain the volume.
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Find the volume of the rectangular solid if the base has an area of 
and the height is 
.
Find the volume of the rectangular solid if the base has an area of
Write the formula for the volume of a rectangular solid.
The base area is:
Substitute the area and the height.
Write the formula for the volume of a rectangular solid.
The base area is:
Substitute the area and the height.
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A matchbox has a length of 10 inches, width of 2 inches and height of 1 inch. What is the volume of the matchbox?
A matchbox has a length of 10 inches, width of 2 inches and height of 1 inch. What is the volume of the matchbox?
To find the volume of a rectangular solid you must multiply the length, width, and height together.
Volume is in units cubed.
To find the volume of a rectangular solid you must multiply the length, width, and height together.
Volume is in units cubed.
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Find the volume of a rectangular solid with a length of 4, a width of 1, and a height of 10.
Find the volume of a rectangular solid with a length of 4, a width of 1, and a height of 10.
Write the formula to find the volume of the rectangular solid.
Substitute the known dimensions.
Multiply the numbers.
Write the formula to find the volume of the rectangular solid.
Substitute the known dimensions.
Multiply the numbers.
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Alfred has a fish tank that looks like this:
Alfred needs to fill the tank with water. To do that, he needs to know the volume of the tank. Find the volume of the tank if the height is 12 inches, the length is three times the height, and the width is the same as the height.
Alfred has a fish tank that looks like this:
Alfred needs to fill the tank with water. To do that, he needs to know the volume of the tank. Find the volume of the tank if the height is 12 inches, the length is three times the height, and the width is the same as the height.
The fish tankbis considered a rectangular prism. The formula to find the volume of a rectangular prism is
where l is the length, w is the width, and h is the height. We know the height is 12 inches. The length is three times the height, so the length is 36 inches. The width is the same as the height, sonthe width is 12 inches. Now, we can substitute. We get
Therefore, the volume of the fish tank is 
.
The fish tankbis considered a rectangular prism. The formula to find the volume of a rectangular prism is
where l is the length, w is the width, and h is the height. We know the height is 12 inches. The length is three times the height, so the length is 36 inches. The width is the same as the height, sonthe width is 12 inches. Now, we can substitute. We get
Therefore, the volume of the fish tank is
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Find the volume of a rectangular box with the following dimensions:
Length: 4 feet. Width: 12 feet. Height: 3 feet.
Find the volume of a rectangular box with the following dimensions:
Length: 4 feet. Width: 12 feet. Height: 3 feet.
Find the volume of a rectangular box with the following dimensions:
Length: 4 feet. Width: 12 feet. Height: 3 feet.
To find volume of a rectangular box, we just need to use the following:
So our answer is:
Find the volume of a rectangular box with the following dimensions:
Length: 4 feet. Width: 12 feet. Height: 3 feet.
To find volume of a rectangular box, we just need to use the following:
So our answer is:
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