Question

The figure shown below is a right prism with triangular bases. The sides of its bases are each 6 centimeters and the approximate height of one of the bases is 5.2 centimeters. The length of the prism between the bases is 9 centimeters.
What is the approximate surface area of this right triangular prism?
A. 128.5 cm
B. 162 cm
C. 193.2 cm
D. 196 cm

Answer 1

The approximate surface area of this right triangular prism is 193.2cm

Surface area of prism

The surface area of a triangular prism is expressed as:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)

Perimeter of the base = 6 + 6 + 6

Perimeter of the base = 18cm

Length of the prism = 9cm

Base area = 1/2 * 5.2 * 6
Base area  = 15.6cm

Determine the surface area

Surface area = (18 * 9) + 2(15.6)

Surface area = 162 + 31.2

Surface area = 193.2 cm

Hence the approximate surface area of this right triangular prism is 193.2cm

learn more on rectangular prism here; brainly.com/question/477459