Question

the volume of this rectangular prism is 150.40 cubic centimeters. what is the value of z? 10 cm 3.2 cm z z = centimeters

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular prism is $V = l\times w\times h$. Here $V = 150.40$ $cm^3$, $l = 10$ cm, $w=z$, $h = 3.2$ cm. So $V=10\times z\times3.2$.

Step2: Solve for z

We have the equation $150.40=10\times z\times3.2$. First, simplify the right - hand side: $10\times3.2 = 32$. So the equation becomes $150.40 = 32z$. Then, solve for $z$ by dividing both sides of the equation by 32: $z=\frac{150.40}{32}$.

Step3: Calculate the value of z

$z = 4.7$ cm.

Answer:

$4.7$