Question

Simon is building a ramp in the shape of a triangular prism. He plans to paint each face of the ramp. What is the total surface

Answer 1

Answer:

Option (3)

Step-by-step explanation:

The ramp shown in the figure is in the shape of a triangular prism.

Therefore, total surface area of this ramp = Area of the triangular sides + Area of the base + Area of the vertical side + Area of the slanting side

Area of the triangular sides = $2[\frac{1}{2}(Base)\times (h)]$

                                              = bh

                                              = 4×3

                                              = 12 square feet

Area of the rectangular base = Length × Width

                                                = 4 × 8

                                                = 32 square feet

Area of the vertical side = Length × Width

                                        = 3 × 8

                                        = 24 square feet

Area of the slanting side = Length × width

                                         = 8×5

                                         = 40 square feet

Total surface area = 12 + 32 + 24 + 40

                              = 108 square feet

Option (3) will be the answer.