Question

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6
Here is a net made of right triangles and rectangles. All measurements are given in centimeters.
What is the surface area of the polyhedron?
square centimeters

Answer 1

84 cm²

Explanation:

Surface area of the polyhedron = the sum of the areas of each parts of the net = area of 2 triangles + area of each of the 3 rectangles

Area of 2 triangles:

Base = 4 cm

Height = 3 cm

Area of the 2 triangles = 2(½*base*height)

= 2(½*4*3) = 4*3 = 12 cm²

Area of rectangle with the following dimensions:

Length = 6 cm

Width = 4 cm

Area = length * width = 24 cm²

Area of rectangle with the following dimensions:

Length = 6 cm

Width = 5 cm

Area = length * width = 30 cm²

Area of rectangle with the following dimensions:

Length = 6 cm

Width = 3 cm

Area = length * width = 18 cm²

Surface area of the polyhedron = 12 + 24 + 30 + 18 = 84 cm²