Question

question 6 (multiple choice worth 2 points) (surface area of rectangular prisms and pyramids mc) an image of a right rectangular prism is shown. 6.7 cm, 6 cm, 5 cm. what is the surface area of the prism? ○103.7 cm² ○201 cm² ○207.4 cm² ○402 cm²

Explanation:

Step1: Recall surface area formula for rectangular prism

The formula for the surface area \( SA \) of a rectangular prism with length \( l \), width \( w \), and height \( h \) is \( SA = 2(lw + lh + wh) \).
Here, \( l = 6 \) cm, \( w = 6.7 \) cm, \( h = 5 \) cm.

Step2: Calculate each term inside the formula

First, calculate \( lw \): \( 6\times6.7 = 40.2 \)
Then, calculate \( lh \): \( 6\times5 = 30 \)
Next, calculate \( wh \): \( 6.7\times5 = 33.5 \)

Step3: Sum the terms and multiply by 2

Sum: \( 40.2 + 30 + 33.5 = 103.7 \)
Multiply by 2: \( 2\times103.7 = 207.4 \)

Answer:

\( 207.4 \, \text{cm}^2 \) (corresponding to the option with \( 207.4 \, \text{cm}^2 \))