Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a rectangular prism is 3 units high, 2 units wide, and 5 units long. wh…

Question

a rectangular prism is 3 units high, 2 units wide, and 5 units long. what is its surface - area in square units? type your answer in the box. surface area square units

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 the given values

Given $h = 3$, $w = 2$, and $l = 5$. Substitute into the formula:
\[

$$\begin{align*} SA&=2((5\times2)+(5\times3)+(2\times3))\\ &=2(10 + 15+6)\\ &=2\times31 \end{align*}$$

\]

Step3: Calculate the result

$SA = 62$

Answer:

62