Question

the volume of this rectangular prism is 10.5 cubic inches. what is the value of t? 1.5 in 1 in t = inches

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular prism is $V = l\times w\times h$. Here, $V = 10.5$ cubic - inches, $w = 1$ inch, $h = 1.5$ inches, and $l=t$. So, $V=t\times1\times1.5$.

Step2: Solve for t

We have the equation $10.5=t\times1\times1.5$. Since $1\times1.5 = 1.5$, the equation becomes $10.5 = 1.5t$. Divide both sides by 1.5: $t=\frac{10.5}{1.5}$.

Step3: Calculate the value of t

$\frac{10.5}{1.5}=\frac{105}{15}=7$.

Answer:

7