Question

what is the surface area of this rectangular prism? 10 cm, 3 cm, 7 cm square centimeters

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 \( l = 10 \) cm, \( w = 3 \) cm, and \( h = 7 \) cm.

Step3: Calculate each term inside the parentheses.

First, calculate \( lw \): \( lw = 10\times3 = 30 \).
Next, calculate \( lh \): \( lh = 10\times7 = 70 \).
Then, calculate \( wh \): \( wh = 3\times7 = 21 \).

Step4: Sum the terms inside the parentheses.

\( lw + lh + wh = 30 + 70 + 21 = 121 \).

Step5: Multiply by 2 to get the surface area.

\( SA = 2\times121 = 242 \).

Answer:

242