Q:

What is the total surface area of the figure shown

Accepted Solution

A:
Given:Composite figure.The figure splitted into two shapes.One is vertical cuboid and other is horizontal cuboidTo find:Total surface area of the figureSolution:Vertical cuboid:Length = 14 inchesWidth = 12 inchesHeight = 24 inchesSurface area = 2(lw + wh + lh)                      = 2(14 × 12 + 12 × 24 + 14 × 24)                      = 2(168 + 288 + 336)Surface area = 1584 square inchesHorizontal cuboid:Length = 14 inchesWidth = 10 inchesHeight = 30 - 12 = 18 inchesSurface area = 2(lw + wh + lh)                      = 2(14 × 10 + 10 × 18 + 14 × 18)                      = 2(140 + 180 + 252)Surface area = 1144 square inchesTotal surface area = 1584 + 1144                               = 2728 square inchesThe total surface area of the figure is 2728 square inches.