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Two same-sized triangular prisms are attached to a rectangular prism as shown below.


If a = 20 cm, b = 13 cm, c = 12 cm, d = 5 cm, and e = 8 cm, what is the surface area of the figure?
a 1,208 square centimeters
b 1,592 square centimeters
c 1,004 square centimeters
d 1,400 square centimeters

Two Samesized Triangular Prisms Are Attached To A Rectangular Prism As Shown Below If A 20 Cm B 13 Cm C 12 Cm D 5 Cm And E 8 Cm What Is The Surface Area Of The class=

Sagot :

jclainwizard
A*E*2=        20*8*2=320
A*C*2=        20*12*2=480
D*C/2*4       5*12*2=120
B*E*2          13*8*2=208
D*E*2          5*8*2=80
320+480+120+208+80=1208
so ur answer is A 
sortingsteering

Answer: a) 1,208 square centimeters

Step-by-step explanation:

The surface area would be the sum of the different areas separated in the figure.

The area of the front and back faces of the rectangular prism:

[tex]a*c*2=20*12*2=480cm^{2}[/tex]

The area of the top and the base of the rectangular prism:

[tex]a*e*2=20*8*2=320cm^{2}[/tex]

The area of the front and back faces of both triangular prisms:

[tex]\frac{d*c}{2}*4=\frac{5*12}{2}*4=30*4=120cm^{2}[/tex]

The area of the side faces of both triangular prisms:

[tex]e*b*2=8*13*2=208cm^{2}[/tex]

The area of the bases of both triangular prisms:

[tex]d*e*2=5*8*2=80cm^{2}[/tex]

Finally, the surface area of the whole figure:

[tex]480+320+120+208+80=1,208cm^{2}[/tex]

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