Trayvon ordered a new calculator digital for his Pre-Algebra class. When it arrived in the mail, he noticed something interesting about the rectangle-shaped box it was shipped in. The broad of the box was double the height, and also the length of package was 3 times the width. If package was 4 inches tall, what to be the volume of the box?


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Explanation:

If the box is 4 inches tall, climate its elevation is 4in. Because 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. Because a rectangular box is just a rectangle-shaped solid, the formula for the volume of a rectangular solid will give us the volume of the Trayvon"s box.

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*
, where 
*
 is length, 
*
 is width, and 
*
 is height. Therefore,

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Since the unit of each of our dimensions was inches, ours volume will certainly be in cubic inches. Hence our answer is 

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Example concern #1 : how To uncover The Volume that A network


A rectangular prism has actually length 24 inches, width 18 inches, and height 15 inches. Give its volume in cubic feet.


Possible Answers:
Correct answer:

*


Explanation:

Divide each measurement in inches by 12 to convert from inches come feet:

*
 feet

*
 feet

*
 feet

Multiply the 3 to get the volume:

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 cubic feet


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Example question #1 : Volume the A rectangular Solid


A rectangular box has a length of 2 meters, a width of 0.5 meters, and a height of 3.2 meters. How numerous cubes through a volume that one cubic centimeter might fit into this rectangular box?


Possible Answers:

3.2 x 10-3


3.2


3,2 x 103


3.2 x 106


3.2 x 102


Correct answer:

3.2 x 106


Explanation:

In order to number out how plenty of cubic centimeters have the right to fit right into the box, we need to figure out the volume of package in regards to cubic centimeters. However, the dimensions of the box are provided in meters. Therefore, we need to convert these dimensions to centimeters and also then determine the volume of the box.

There room 100 centimeters in one meter. This means that in stimulate to convert from meter to centimeters, we need to multiply by 100.

The size of the box is 2 meters, which is same to 2 x 100, or 200, centimeters.

The broad of the box is 0.5(100) = 50 centimeters.

The height of package is 3.2(100) = 320 centimeters.

Now that every one of our measurements are in centimeters, we have the right to calculate the volume of the box in cubic centimeters. Remember the the volume that a rectangle-shaped box (or prism) is same to the product the the length, width, and also height.

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V = length x width x height

V = (200 cm)(50 cm)(320 cm) = 3,200,000 cm3

To rewrite this in clinical notation, us must move the decimal six places to the left.