Q:

WILL GIVE THE BRAINLEST Find the surface area of the triangular prism​

Accepted Solution

A:
Answer:Surface Area =  267 in²   V = 162 in³Step-by-step explanation:The surface area consists of 3 rectangles of the sides, and the two base triangles.The front rectangle has dimensions of 12x9, so it's area is 108 in²The back rectangle has dimensions of 7x12, so it's are is 84 in²The side rectangle has dimensions of 4x12, so it's area is 48 in²The top and bottom triangles have a base of 9 and a height of 3, so their area is A = (1/2)(9)(3) = 27/2, but there are 2 of them, so their combined area is (27/2)(2) = 27 in²The total surface area is 108 + 84 + 48 + 27 = 267 in²The formula for volume of a triangular prism isV = (1/2)bhd    where b is the base of the base triangle, h is the height of the base triangle, and d is the depth of prism.We have b = 9, h = 3, and d = 12, so the volume isV = (1/2)(9)(3)(12)      V = (1/2)(27)(12)            V = (1/2)(324)                 V = 162 in³