Question

What is the lateral area of the rectangular prism? Its bases have a length of 16 centime

and a width of 5 centimeters.
16 cm
square cetimeters
5 cm
7.7 cm

Answer 1

The lateral area of the rectangular prism is
`\(323.4 \, \text{cm}^2\).`

The lateral area (
`\(A_l\)`) of a rectangular prism is given by the formula:

`\[ A_l = 2 * (l + w) * h \]`

where:

- I is the length of the base,

- w is the width of the base, and

- h is the height or depth of the prism.

In this case, the length (I) is 16 cm, the width (w) is 5 cm, and the depth (h) is 7.7 cm.

`\[ A_l = 2 * (16 + 5) * 7.7 \]`

`\[ A_l = 2 * 21 * 7.7 \]`

`\[ A_l = 2 * 161.7 \]`

`\[ A_l = 323.4 \, \text{cm}^2 \]`

Therefore, the lateral area of the rectangular prism is
`\(323.4 \, \text{cm}^2\).`

The probable question may be:

What is the lateral area of the rectangular prism? Its bases have a length of 16 cm and a width of 5 centimeters and a depth of 7.7 cm.