Question

What is the surface area of the following triangular prism?

Answer 1

Answer:

$\mathbf{surface \ area} = \mathbf {64.5 cm^2}$

Explanation:

The missing diagram is attached in the file below:

The formula for calculating the surface of triangular prism is expressed as:

$\mathbf{surface \ area} = \mathbf {bh + (s_1 + s_2 + s_3)H}$

where ;

base b = 28 mm = 2.8 cm

height h of the triangle = 3.75 cm

the sides of the triangle $s_ 1, s_2 . s_3$ = 2.8 , 4 and 4 respectively

the height if the prism H = 5 cm

$\mathbf{surface \ area} = \mathbf {(2.8*3.75)+ (0.28 + 4+ 4)5}$

$\mathbf{surface \ area} = \mathbf {(10.5)+ (8.28)5}$

$\mathbf{surface \ area} = \mathbf {(10.5)+ (54)}$

$\mathbf{surface \ area} = \mathbf {64.5 cm^2}$