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A right rectangular prism (box) has a volume of 30 cubic inches. It's base length is 2 inches and it's base width is 3 inches. What is the height of the prism in inches?

User Aolde
by
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2 Answers

6 votes

Answer:

5in

Explanation:

30 in³ = 3 in * 2 in * h

30 in³ = 6 in² * h

30 in³ / 6 in² = h

5in = h

User Ignar
by
5.8k points
3 votes

Answer:

The height of the rectangular prism is 5in

Explanation:

To calculate the height of a rectangular prism we have to use the following formula:

v = volume = 30 in³

w = width = 3 in

l = length = 2in

h = height

v = w * h * l

we replace the values that ​​we know

30 in³ = 3 in * 2 in * h

30 in³ = 6 in² * h

30 in³ / 6 in² = h

5in = h

The height of the rectangular prism is 5in

User Transact Charlie
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5.3k points