Question 2 (3 points) Saving...
What is the surface area of the right triangular prism shown below? The hypotenuse
of each right triangle is 5 cm.
5cm
4 cm
n
Tocm
3 cm
A) 120 centimeters squared. B) 132 centimeters squared. C) 144 centimeters squared. D) 160 centimeters squared.

Respuesta :

Answer:

Option C) 144 centimeters squared.

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The surface area of a prism is equal to

[tex]SA=2B+PL[/tex]

where

B is the area of the base of the prism

P is the perimeter of the  base

L is the length or height of the prism

Find the area of the base B

[tex]B=\frac{1}{2}(3)(4)=6\ cm^2[/tex] ---> the base is a right triangle

Find the perimeter of the base P

[tex]P=3+4+5=12\ cm[/tex] ---> is the perimeter of a triangle

we have

[tex]L=11\ cm[/tex]

Find the surface area SA

[tex]SA=2(6)+12(11)=144\ cm^2[/tex]

Ver imagen calculista

Answer:

144

Step-by-step explanation: