Answer:
Volume: 762 in³
LA: 448 in²
SA: 544 in²
Explanation:
So first, the volume, the formula to find the area is base x height, so we have to find the base first:
8 x 12 ÷ 2 = 48
48 x 14 = 672
So the volume of the prism is 762 in³
Now, the lateral area, which is basically the surface area without the bases, or, in this case, the triangles:
10 x 14 = 140 x 2 = 280
12 x 14 = 168
168 + 280 = 448
So the LA = 448 in²
Now, for the surface area:
12 x 8 = 96 (usually, it would then be ÷ 2, but because there are two triangles, it isn't necessary)
96 + 448 (the LA) = 544
So the SA = 544 in²
hope this is right:)