Question

what is the surface area of this prism? 5 cm 4 cm 5 cm 10 cm 6 cm square centimeters submit

Explanation:

Step1: Identify the prism type (triangular prism)

The prism has a triangular base with sides 5 cm, 5 cm, 6 cm and height 4 cm, and length 10 cm.

Step2: Calculate area of triangular bases

Area of one triangle: $\frac{1}{2} \times 6 \times 4 = 12$ cm². Two triangles: $2 \times 12 = 24$ cm².

Step3: Calculate area of rectangular faces

• Face with base 6 cm and length 10 cm: $6 \times 10 = 60$ cm².
• Two faces with base 5 cm and length 10 cm: $2 \times (5 \times 10) = 100$ cm².

Step4: Sum all areas

Total surface area: $24 + 60 + 100 = 184$ cm².

Answer:

184