Question

1. if the base of a rectangular prism has a length of 2 and a width of 4, how many layers (height) must it have if the volume is 24 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 $L = 2$, $W = 4$ and $V=24$. Substitute into the formula: $24=2\times4\times H$.

Step3: Simplify the right - hand side

First, calculate $2\times4 = 8$. So the equation becomes $24 = 8\times H$.

Step4: Solve for $H$

Divide both sides of the equation by 8: $H=\frac{24}{8}=3$.

Answer:

$L = 2$, $W = 4$, $H = 3$