Question

what is the surface area of this rectangular prism? square millimeters submit

Explanation:

Step1: Recall the formula for the surface area of a rectangular prism

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

Step2: Identify the values of \( l \), \( w \), and \( h \)

From the diagram, we have \( l = 15 \) mm, \( w = 4 \) mm, and \( h = 6 \) mm.

Step3: Calculate each term inside the parentheses

• Calculate \( lw \): \( lw = 15\times4 = 60 \)
• Calculate \( lh \): \( lh = 15\times6 = 90 \)
• Calculate \( wh \): \( wh = 4\times6 = 24 \)

Step4: Sum the terms inside the parentheses

\( lw + lh + wh = 60 + 90 + 24 = 174 \)

Step5: Multiply by 2 to get the surface area

\( SA = 2\times174 = 348 \)

Answer:

348