Question

1. if the base of a rectangular prism has a length of 6 and a width of 2, how many layers (height) must it have if the volume is 48 cubes? fill in the dimensions to help you: l=____ w=__ h=____

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular prism is $V = L\times W\times H$, where $V$ is volume, $L$ is length, $W$ is width and $H$ is height.

Step2: Substitute known values

We know that $V = 48$, $L = 6$ and $W = 2$. Substituting into the formula gives $48=6\times2\times H$.

Step3: Simplify the right - hand side

First, calculate $6\times2 = 12$. So the equation becomes $48 = 12\times H$.

Step4: Solve for H

To find $H$, divide both sides of the equation by 12. So $H=\frac{48}{12}=4$.

Answer:

$L = 6$, $W = 2$, $H = 4$