Question

Find the total surface area of this triangular prism.
30 cm
18 cm
7 cm
24 cm

Answer 1

936 cm²

Explanation:

The surface area is the sum of all the faces.

The base is a rectangle with

area = 24 × 7 = 168 cm²

The back is a rectangle with

area = 18 × 7 = 126 cm²

The sloping face is a rectangle with

area = 30 × 7 = 210 cm²

The 2 triangular faces are congruent with

area = 2 ×
`(1)/(2)` bh ( b is the base and h the height ), then

area = 2 ×
`(1)/(2)` × 24 × 18 = 24 × 18 = 432 cm²

Then

surface area = 168 + 126 + 210 + 432 = 936 cm²