Question

the volume of this rectangular prism is 1,344.0 cubic centimeters. what is the value of y? 14 cm 5 cm y = \boxed{} centimeters

Explanation:

Step1: Recall volume formula for rectangular prism

The volume \( V \) of a rectangular prism is given by \( V = l \times w \times h \), where \( l \), \( w \), and \( h \) are the length, width, and height respectively. Here, \( l = 14 \) cm, \( w = 5 \) cm, \( h = y \) cm, and \( V = 1344.0 \) cubic cm. So the formula becomes \( 1344 = 14 \times 5 \times y \).

Step2: Calculate the product of known dimensions

First, calculate \( 14 \times 5 \). \( 14 \times 5 = 70 \). So the equation is now \( 1344 = 70 \times y \).

Step3: Solve for y

To find \( y \), divide both sides of the equation by 70. \( y=\frac{1344}{70} \). Calculating this, \( \frac{1344}{70}=19.2 \).

Answer:

\( 19.2 \)