Question

Which could be the area of the face of the rectangular prism

5m2

6m2

7m2

9m2

Answer 1

Answer: The correct option is (B) 6 m².

Step-by-step explanation: We are given to select the correct option that could be the area of the face of the rectangular prism in the figure.

From the figure, we note that

the dimensions of the faces of the rectangular prism and the corresponding areas are as follows:

(A) 2m × 3m.

The area of this face will be

`2* 3=6~\textup{m}^2.`

(B) 2m × 4m.

The area of this face will be

`2* 4=8~\textup{m}^2.`

(C) 3m × 4m.

The area of this face will be

`3* 4=12~\textup{m}^2.`

So, the possible areas of the faces are 6 m², 8 m² or 12 m².

Thus, the correct option is (B) 6 m².

Answer 2

Only (2 m)(3 m) = 6 m^2 and (2 m)(4 m) = 8 m^2 could be correct. Make your choice based upon these results.