Question

Can someone please help me I really need help please help me thank you

Answer 1

Answer:

Surface area of the triangular prism = 144 cm²

Step-by-step explanation:

Surface area of a triangular prism = Area of two triangular bases + Area of 3 lateral sides(rectangular sides)

Area of triangular base = $\frac{1}{2}(\text{Base})(\text{height})$

                                       = $\frac{1}{2}(3)(4)$

                                       = 6 cm²

Area of one rectangular lateral side with sides 3 cm and 11 cm

= Length × width

= 3 × 11

= 33 cm²

Area of the lateral rectangular side with sides 4 cm and 11 cm

= 4 × 11

= 44 cm²

Area of the lateral rectangular side with sides 5 cm and 11 cm  

= 5 × 11

= 55 cm²

Total area of lateral sides = 33 + 44 + 55 = 132 cm²

Surface area of the triangular prism = 2(6) + 132

                                              = 144 cm²

Therefore, Surface area of the triangular prism = 144 cm²