Question

a rectangular prism has a length of 14 cm, a width of 4 cm, and a height of 6 cm. what is the lateral surface area of the prism? staar 8

Explanation:

Step1: Recall lateral - surface - area formula

The lateral - surface area of a rectangular prism $LSA=2h(l + w)$, where $l$ is the length, $w$ is the width, and $h$ is the height.

Step2: Substitute given values

Given $l = 14$ cm, $w = 4$ cm, and $h = 6$ cm. Substitute into the formula: $LSA=2\times6\times(14 + 4)$.

Step3: First, calculate the sum inside the parentheses

$14+4 = 18$ cm. Then, $LSA=2\times6\times18$.

Step4: Calculate the product

$2\times6 = 12$, and $12\times18=216$ $cm^{2}$.

Answer:

$216$ $cm^{2}$