Question

4 a rectangular prism has the dimensions shown, where the top and bottom represent the bases. image of a rectangular prism with dimensions 6.3 cm, 8.5 cm, 16.2 cm what is the lateral surface area of the prism?

Explanation:

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

The lateral surface area \(LSA\) of a rectangular prism is given by \(LSA = 2h(l + w)\), where \(h\) is the height, \(l\) is the length and \(w\) is the width.

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

From the problem, \(h=16.2\) cm, \(l = 8.5\) cm and \(w=6.3\) cm.

Step3: Substitute the values into the formula

$$
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$$

Step4: Calculate the result

\(32.4\times14.8=479.52\)

Answer:

\(479.52\) cm²