Question

Calculate the surface area of the triangular prism below.

Give your answer in mm².
18 mm
14 mm
27 mm
21 mm
9 mm
Not drawn accurately

Answer 1

Surface area = 972 mm^2

Explanation:

One of the formula we can use for surface area of a triangular prism is

SA = bh + L(s1 + s2 + s3), where

• SA is the surface area in square units,
• b is the base of one of the triangles,
• h is the height of one of the triangles,
• L is the length (links the two triangles together),
• and s1, s2, and s3 are the three sides of one of the two triangles:

In the figure, the base (b) is 27 mm, the height (h) is 14 mm, the length (L) is 9 mm, and we can use 18, 27, and 21 for s1, s2, and 23:

SA = 27 * 14 + 9(18 + 27 + 21)

SA = 378 + 9(66)

SA = 378 + 594

SA = 972 mm^2

Thus, the surface area of the figure is 972 mm^2