Question

What is the total surface area of the figure shown?

Answer 1

Given:

Composite figure.

The figure splitted into two shapes.

One is vertical cuboid and other is horizontal cuboid

To find:

Total surface area of the figure

Solution:

Vertical cuboid:

Length = 14 inches

Width = 12 inches

Height = 24 inches

Surface area = 2(lw + wh + lh)

                     = 2(14 × 12 + 12 × 24 + 14 × 24)

                     = 2(168 + 288 + 336)

Surface area = 1584 square inches

Horizontal cuboid:

Length = 14 inches

Width = 10 inches

Height = 30 - 12 = 18 inches

Surface area = 2(lw + wh + lh)

                     = 2(14 × 10 + 10 × 18 + 14 × 18)

                     = 2(140 + 180 + 252)

Surface area = 1144 square inches

Total surface area = 1584 + 1144

                              = 2728 square inches

The total surface area of the figure is 2728 square inches.