Question

Lisa is building a structure to be used in the school play. The structure is in the shape of a right triangular prism. A sketch is shown.

Answer 1

Solution:

Note that:

• Surface area = Area of all faces

Finding the area of the two triangles

• 2(1/2 x 8 x 6)
• => 8 x 6
• => 48 ft²

Finding the area of rectangle₁

• 12.6 x 10
• => 126 ft²

Finding the area of rectangle₂

• 12.6 x 6
• => 75.6 ft²

Finding the area of rectangle₃

• 12.6 x 8
• => 100.8 ft²

Finding the surface area of the figure

• 48 + 126 + 75.6 + 100.8
• => 350.4 ft²