Answer:
L = 324 cm²
S = 359.1 cm²
Step-by-step explanation:
Lateral surface area of a triangular prism is given by,
Lateral surface area = Perimeter of the triangular base × Height
= (9 + 9 + 9)×12
= 27 × 12
= 324 cm²
Surface area area of the triangular prism = Lateral area of the prism + Area of the triangular bases
= 324 + 
= 324 + 
= 324 + 35.1
= 359.1 cm²
Answer:
Step-by-step explanation:
(x – 5)^2 + 3(x – 5) + 9 = 0
This is a quadratic equation in x - 5.
Let u = x - 5, then the quadratic equation becomes:
u^2 + 3u + 9 = 0
We can use the quadratic formula to solve for u.
Since u = x - 5, now we substitute x - 5 for u and solve for x.
24 divided by 6( the amount of sides) is 4. The square root of 4 is 2 so each side is 2 cm. 2 cm tripled is 6 cm. 6 times 6 is 36 ( that is the surface area of one face). 36 times 6 (the number of faces) is 216 so the answer is 216 cm squared.
