the surface area of a prism is 218 square feet. the base of the prism is a triangle which has a base of 6…
the surface area of a prism is 218 square feet. the base of the prism is a triangle which has a base of 6 feet and a height of 9 feet. what is the lateral area of the prism? \n____ square feet
Answer
Explanation:
Step1: Calculate area of one triangular base
The area of a triangle is $\frac{1}{2} \times \text{base} \times \text{height}$. $\frac{1}{2} \times 6 \times 9 = 27$ square feet
Step2: Find total area of two bases
Multiply single base area by 2. $27 \times 2 = 54$ square feet
Step3: Subtract base area from total surface area
Lateral area = Total surface area - Total base area. $218 - 54 = 164$ square feet
Answer:
164