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What is the volume, in cubic inches, of a rectangular prism with a height of 5 in, a width of 12 in, and a length of 14 in?

V: _____ in³

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Sagot :

To find the volume of a rectangular prism, you can use the following formula:

[tex]\[ \text{Volume} = \text{height} \times \text{width} \times \text{length} \][/tex]

Given the dimensions of the rectangular prism:
- Height = 5 inches
- Width = 12 inches
- Length = 14 inches

Step-by-step calculation:

1. Multiply the height by the width:
[tex]\[ 5 \, \text{inches} \times 12 \, \text{inches} = 60 \, \text{square inches} \][/tex]

2. Next, multiply the result by the length:
[tex]\[ 60 \, \text{square inches} \times 14 \, \text{inches} = 840 \, \text{cubic inches} \][/tex]

So, the volume of the rectangular prism is:
[tex]\[ 840 \, \text{cubic inches} \][/tex]

Thus, the volume of the rectangular prism is [tex]\( 840 \)[/tex] cubic inches.