Answer:
54 square feet
Step-by-step explanation:
We need to find the area of the surface touching the floor and deduct it from the total surface area of the block.
The surface area of the entire block is given as:
A = 2(lw + lh + wh)
where l = length
w = width
h = height
The dimensions of the block are 2 feet by 3 feet by 6 feet. This means that:
l = 2 feet, h = 3 feet, w = 6 feet
Therefore, the total surface area is:
A = 2[(2 * 3) + (2 * 6) + (3 * 6)]
A = 2(6 + 12 + 18)
A = 2(36)
A = 72 square feet
The area of the surface that does not need covering is:
A = 3 * 6 = 18 square feet
The surface area of the part of the block that needs covering is therefore:
A = 72 - 18 = 54 square feet
