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.