Question

What is the surface area of a rectangular prism with dimensions of 2 cm by 3 cm by 4 cm? a) 16 cm² b) 34 cm² c) 44 cm² d) 52 cm²

Answer 1

d) 52 cm²

Explanation:

2x3+2x3+10x4

6+6+40

52

Answer 2

(d) 52 cm²

Explanation:

The surface area (SA) of a rectangular prism is given by the formula:

`\sf SA = 2lw + 2lh + 2wh`

where:

-
`\sf l` is the length,

-
`\sf w` is the width,

-
`\sf h` is the height.

Given the dimensions of the rectangular prism as
`\sf l = 2 \, \textsf{cm}`,
`\sf w = 3 \, \textsf{cm}`, and
`\sf h = 4 \, \textsf{cm}`, let's substitute these values into the formula:

`\sf SA = 2(2 \, \textsf{cm} * 3 \, \textsf{cm}) + 2(2 \, \textsf{cm} * 4 \, \textsf{cm}) + 2(3 \, \textsf{cm} * 4 \, \textsf{cm})`

`\sf SA = 12 \, \textsf{cm}^2 + 16 \, \textsf{cm}^2 + 24 \, \textsf{cm}^2`

`\sf SA = 52 \, \textsf{cm}^2`

Therefore, the correct answer is option (d) 52 cm².