A box shaped like a rectangular prism has a length of 8 inches and a width of 8 inches. Its volume is 512 cubic inches. What is the height of the box

So, to solve this you have to find the missing number. To find volume, we have to multiply length, width, and height. So, we already have length and width, which together equals 64. So now what x 64 = 512. That answer would be eight.

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KarpaT KarpaT · Answer 2 · 2022-05-20T09:52:00+02:00

The height of the rectangular prism is 8 inches.

What is a rectangular prism?

"A rectangular prism is a 3-d solid shape that has 6 rectangular faces in which all the pairs of opposite faces are congruent. It has 8 vertices, 6 faces, and 12 edges".

For the given situation,

The length of a rectangular prism, l = 8 inches

The breadth of a rectangular prism, b = 8 inches

The volume of the rectangular prism, V = 512 cubic inches.

Let the height of the rectangular prism be 'h'

The formula for the volume of the rectangular prism, V = l × b × h

On substituting the above values,

⇒ [tex]512=(8)(8)h[/tex]

⇒ [tex]h=\frac{512}{64}[/tex]

⇒ [tex]h=8[/tex]

Hence we can conclude that the height of the rectangular prism is 8 inches.

Learn more about the rectangular prism here

https://brainly.com/question/21308574

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