What is the surface area of a right rectangular prism where each edge length measures 15.10 cm?(1 point) Responses 1,368.06 cm2 1,368.06 cm squared 900 cm2 900 cm squared 8,208.36 cm2 8,208.36 cm squared 1,350 cm2

Answer 1

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

$$\text{Surface Area}=2(lw+lh+wh)$$

where $l$, $w$, and $h$ are the lengths of the edges of the prism. Since all edge lengths are equal in this case (the prism is a cube), we have:

• $l=15.10,\text{cm}$
• $w=15.10,\text{cm}$
• $h=15.10,\text{cm}$

Substituting these values into the surface area formula gives:

$$\text{Surface Area}=2(15.10\times 15.10+15.10\times 15.10+15.10\times 15.10)$$

Calculating $15.10\times 15.10$:

$$15.10\times 15.10=228.01,{\text{cm}}^2$$

Now substituting this value back into the formula:

$$\text{Surface Area}=2(228.01+228.01+228.01)=2(684.03)=1368.06,{\text{cm}}^2$$

Thus, the surface area of the right rectangular prism is:

1,368.06 cm² (or 1,368.06 cm2).