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h: 2

w: 4
l: 5

Find the LATERAL surface area of the shape.

40 cm2
2

36 cm2
2

22 cm2
2

76 cm2
2

1 answer

To find the LATERAL surface area of a rectangular prism (also known as a rectangular box), you can use the following formula:

\[ \text{Lateral Surface Area} = 2h(l + w) \]

Where:

  • \( h \) is the height,
  • \( l \) is the length,
  • \( w \) is the width.

Given:

  • \( h = 2 \) cm,
  • \( l = 5 \) cm,
  • \( w = 4 \) cm.

Now, plug in the values into the formula:

\[ \text{Lateral Surface Area} = 2 \times 2 \times (5 + 4) \]

Calculating it step-by-step:

  1. Calculate \( (5 + 4) \): \[ 5 + 4 = 9 \]

  2. Now, multiply: \[ 2 \times 2 = 4 \] and then \[ 4 \times 9 = 36 \]

Thus, the LATERAL surface area is \( 36 , \text{cm}^2 \).

The answer is \( 36 , \text{cm}^2 \).