Question

1. find the surface area of this rectangular solid. dimensions are in meters.

(the image shows a rectangular solid with length 30 meters, width 15 meters, and height 5 meters.)

Explanation:

Step1: Recall the formula for the surface area of a rectangular solid (cuboid). The formula is \( SA = 2(lw + lh + wh) \), where \( l \) is the length, \( w \) is the width, and \( h \) is the height.

Here, from the diagram, we can identify the dimensions: length \( l = 30 \) meters, width \( w = 15 \) meters, and height \( h = 5 \) meters.

Step2: Substitute the values into the formula.

First, calculate \( lw \), \( lh \), and \( wh \):

• \( lw = 30\times15 = 450 \)
• \( lh = 30\times5 = 150 \)
• \( wh = 15\times5 = 75 \)

Then, add these results together: \( 450 + 150 + 75 = 675 \)
Finally, multiply by 2: \( SA = 2\times675 = 1350 \)

Answer:

The surface area of the rectangular solid is 1350 square meters.