Question

1. a rectangular prism is 4 units high, 2 units wide, and 6 units long. what is its surface area in square units? explain or show your reasoning.

Explanation:

Step1: Recall surface - area formula

The surface - area formula of a rectangular prism is $SA = 2(lw+lh + wh)$, where $l$ is the length, $w$ is the width, and $h$ is the height.

Step2: Substitute given values

Given $l = 6$, $w = 2$, and $h = 4$. Substitute into the formula: $SA=2(6\times2 + 6\times4+2\times4)$.

Step3: Calculate values inside parentheses

First, calculate $6\times2 = 12$, $6\times4 = 24$, and $2\times4 = 8$. Then $6\times2 + 6\times4+2\times4=12 + 24+8=44$.

Step4: Multiply by 2

$SA = 2\times44=88$.

Answer:

88