length______

width 14
height 11
surface area_______
volume 2029.72

length*width*height gives you volume, which you know. But you can solve for length.

To find the surface area, you need to know the length, width, and height of the object. The formula for the surface area of a rectangular prism is given by:

Surface Area = 2lw + 2lh + 2wh

Considering the given dimensions, the width is 14, and the height is 11. To determine the length, we can rearrange the volume formula and solve for length:

Volume = length * width * height

2029.72 = length * 14 * 11

To solve for length, divide both sides of the equation by (14 * 11):

2029.72 / (14 * 11) = length

Length ≈ 13.84

Now that we have all three dimensions (length = 13.84, width = 14, height = 11), we can calculate the surface area using the formula:

Surface Area = 2 * (13.84 * 14) + 2 * (13.84 * 11) + 2 * (14 * 11)

Surface Area ≈ 665.92 + 304.24 + 308 = 1278.16

Therefore, the approximate surface area of the rectangular prism is 1278.16 square units.