Question

What is the surface area of a rectangular prism with the following dimensions?

length: 8 cm

width: 13 cm

height: 10.5 cm

63 cm 2
1,092 cm 2
2,184 cm 2
649 cm 2

Answer 1

We are given the three dimensions of a rectangular prism which is length, width, and height. Surface area is the combined area of all the sides. So, we would add up the areas of the rectangles on the front/back, left/right, top/bottom. We can use the formula below to help us complete what we want.

`S=2(lw +wh+lh)`

`S=2((8\ cm * 13\ cm) +(13\ cm * 10.5\ cm)+(8\ cm * 10.5\ cm))`

`S=2((104\ cm^2) +(136.5\ cm^2) + (84\ cm^2))`

`S=2(324.5\ cm^2)`

`S=649\ cm^2`

Therefore, the surface area of the rectangular prism is 649
`cm^2`

Hope this helps!