Question

Three cubes each of side 15 cm joined end to end. Find the total surface area of the rusting cuboid.

Answer 1

Given: Three cubes each of side 15 cm are joined end to end to form a cuboid.

Step-wise calculation:

1. Dimensions of the resulting cuboid:

Length = 3 × 15 = 45 cm

Width = 15 cm

Height = 15 cm

2. Use the total surface area formula for a cuboid:

TSA = 2(lw + lh + wh)

3. Compute face areas:

lw = 45 × 15

= 675 cm²

lh = 45 × 15

= 675 cm²

wh = 15 × 15

= 225 cm²

Sum = 675 + 675 + 225

= 1575 cm²

4. Total surface area = 2 × 1575

= 3150 cm²

Total surface area of the rusting cuboid = 3150 cm².