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Three same-sized cubes are attached to the top of a rectangular prism as shown below.
If a=10 cm, b = 26 cm, and c = 6 cm, what is the surface area of the figure?
ANSWER ASAP PLEASE!!! IT WOULD MEAN ALOT

Three Samesized Cubes Are Attached To The Top Of A Rectangular Prism As Shown Below If A10 Cm B 26 Cm And C 6 Cm What Is The Surface Area Of The Figure ANSWER A class=

Sagot :

Answer:

Surface area of the figure = 1672 [tex]cm^{2}[/tex]

Step-by-step explanation:

Surface area of the figure = surface area of the prism + surface area of the 3 cubes

The surface area of the rectangular prism = sum of the area of its individual sides

                                             = 2(26 x 10) + 2(10 x 10) + 2(26 x 10)

                                             = 520 + 200 + 520

The surface area of the rectangular prism = 1240 [tex]cm^{2}[/tex]

Surface area of one of the cubes = 5(6 x 6)

                                                      = 180 [tex]cm^{2}[/tex]

The surface area of the 3 cubes = 3 x 180

                                                     = 540 [tex]cm^{2}[/tex]

Thus, the surfaces of the cubes on the prism covers a total area of 108 [tex]cm^{2}[/tex].

So that;

The surface area of the figure = (1240 - 108) + 540

                                               = 1132 + 540

                                                = 1672 [tex]cm^{2}[/tex]