Question

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

Answer 1

Surface area of the figure = 1672
`cm^(2)`

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
`cm^(2)`

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

= 180
`cm^(2)`

The surface area of the 3 cubes = 3 x 180

= 540
`cm^(2)`

Thus, the surfaces of the cubes on the prism covers a total area of 108
`cm^(2)`.

So that;

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

= 1132 + 540

= 1672
`cm^(2)`