Question

what is the surface area of this rectangular prism? 3 mm 10 mm 5 mm 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 \( l = 10 \) mm, \( w = 5 \) mm, and \( h = 3 \) mm.

Step3: Calculate each product inside the parentheses.

First, calculate \( lw \): \( lw = 10\times5 = 50 \).
Next, calculate \( lh \): \( lh = 10\times3 = 30 \).
Then, calculate \( wh \): \( wh = 5\times3 = 15 \).

Step4: Sum the products and multiply by 2.

Sum the three products: \( 50 + 30 + 15 = 95 \).
Then multiply by 2: \( SA = 2\times95 = 190 \).

Answer:

190