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Volume = 2880m²

Surface area = 1632m²

Step-by-step explanation:

The prism shown is a triangular prism

The volume of the prism can be found by multiplying the area of the base by the length of the prism

The base being a triangle.

The area of a triangle can be calculated by using this formula

where b = base length and h = height

The base length of the particular base is 12 m and the height is 16

That being said we plug in the values into the formula

Hence the area of the base is 96 square meters

Finally we multiply the area by the length of the prism ( which is 30 m )

So volume = 96 * 30

96 * 30 = 2880

Hence the volume of the triangular prism is 2880m²

Now to find the surface area

Kindly check the image below for information on the formula for surface area of a triangular prism

Formula =

where b = base length

h = height of base

L = length of prism

S1 also = base

S2 = base height

S3 = slant height of base

The shown triangle has the following dimensions

b = 12

h = 16

L = 30

S1 = 12

S2 = 16

S3 = 20

Now that we have identified each dimension, we plug in the values into the formula

So we can conclude that the surface area of the triangular prism is 1632m²