The volume of a regtabgular prism is 300 cubic inches. if the length of the prism is 5 inches, and the width 8 inches what is the height of the rectangular prism ? v=lwh

The height of the rectangular prism is 7.5 inches

Step-by-step explanation:

- The rule of the volume of a rectangular prism is

 V = l w h, where V is the volume, l is the length of the base of

  the prism, w is the width of the base of the prism, and h is the

  height of the prism

- The volume of the prism is 300 inches³

- The length of the base of the prism is 5 inches

- The width of the base of the prism is 8 inches

- We need to find the height of the prism

∵ V = 300 inches³

∵ l = 5 inches

∵ w = 8 inches

∵ V = l w h

- Substitute the values of l, w, V in the rule above

∵ 300 = 5 × 8 × h

∴ 300 = 40 h

- Divide both sides by 40

∴ h = 7.5 inches

* The height of the rectangular prism is 7.5 inches

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step-by-step explanation: