find the surface area of this rectangular prism. be sure to include the correct unit in your answer.
find the surface area of this rectangular prism. be sure to include the correct unit in your answer.
Answer
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: Identify the dimensions
Given $l = 6m$, $w = 3m$, and $h = 3m$.
Step3: Substitute values into the formula
$SA=2(6\times3 + 6\times3+3\times3)$. First, calculate the products inside the parentheses: $6\times3 = 18$, $6\times3 = 18$, and $3\times3 = 9$. Then, $SA = 2(18 + 18+9)$. Next, add the numbers inside the parentheses: $18 + 18+9=45$. Finally, $SA = 2\times45=90m^{2}$.
Answer:
$90m^{2}$