Three cubes each of edge 8 cm are joined end to end. Find the surface area of the resultingcuboid.

Sure, here's how to solve this problem:

Step 1: Understand the problem Three cubes of 8 cm edge are joined end to end. This forms a cuboid.

Step 2: Determine the dimensions of the cuboid Since the cubes are joined end to end, the length of the resulting cuboid is the sum of the lengths of the three cubes, which is 8 cm + 8 cm + 8 cm = 24 cm. The width and the height of the cuboid are the same as the edge of one cube, which is 8 cm.

Step 3: Calculate the surface area of the cuboid The formula for the surface area of a cuboid is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Substituting the given values, we get:

Surface area = 2(24 cm * 8 cm) + 2(24 cm * 8 cm) + 2(8 cm * 8 cm) = 2(192 cm^2) + 2(192 cm^2) + 2(64 cm^2) = 384 cm^2 + 384 cm^2 + 128 cm^2 = 896 cm^2

So, the surface area of the resulting cuboid is 896 cm^2.