which diagram is a net for this prism? what is the surface area of the rectangular prism? square feet
which diagram is a net for this prism? what is the surface area of the rectangular prism? square feet
Answer
Explanation:
Step1: Identify the dimensions of the prism
Let the length $l$, width $w$ and height $h$ of the rectangular - prism. From the net, assume $l = 6$ ft, $w = 2.5$ ft and $h = 6$ ft.
Step2: Recall the surface - area formula
The surface - area formula of a rectangular prism is $SA=2(lw + lh+wh)$.
Step3: Substitute the values into the formula
$SA = 2(6\times2.5+6\times6 + 2.5\times6)$. First, calculate the products inside the parentheses: $6\times2.5 = 15$, $6\times6=36$, $2.5\times6 = 15$. Then, $SA=2(15 + 36+15)$. Next, add the numbers inside the parentheses: $15 + 36+15=66$. Finally, $SA = 2\times66=132$.
Answer:
132