Question

What is the total surface area?

the area that forms into a rectangle shows sides with these numbers

2 cm 2cm 3 cm 2cm 2cm 3 cm 6cm 3cm 3cm

(1 point)
Responses

26 cm2
26 cm2

34 cm2
34 cm 2

70 cm2
70 cm 2

72 cm2

1 answer

To find the total surface area of the rectangular solid (or 3D shape), we need to first understand the provided dimensions. It appears that you provided the lengths of the edges of a rectangular prism.

Assuming the solid is a rectangular prism, the dimensions can be interpreted as follows:

  • Length (l) = 6 cm
  • Width (w) = 3 cm
  • Height (h) = 2 cm

The formula for the surface area (SA) of a rectangular prism is: \[ SA = 2(lw + lh + wh) \]

Now, substituting in the values: \[ SA = 2((6 \times 3) + (6 \times 2) + (3 \times 2)) \] \[ SA = 2(18 + 12 + 6) \] \[ SA = 2(36) \] \[ SA = 72 , \text{cm}^2 \]

Thus, the total surface area is 72 cm².