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The following 3-D object is composed of identical cubes. The volume of the 3-D object is 56cm cubed. 

The surface area of the 3-D object is 
a) 30cm squared
b) 60cm squared
c) 120cm squared
d) 144cm squared

The following 3D object is composed of identical cubes The volume of the 3D object is 56cm cubed The surface area of the 3D object is a 30cm squaredb 60cm squar class=


Answer :

There are 7 equal cubes by inspection that make up the shape.

Each cube has a volume of: (56 cm^3)/7 = 8 cm^3

To find side dimension of cube (knowing a cube is the 3D extrusion of a square meaning all sides are equal:

s = (side dimension) = (8 cm^3)^(1/3) = 2 cm

Also by inspection, there are 5 exposed faces on 6 of the 7 cubes. To find the total surface area, multiply number of exposed faces per cube by the surface area of a single face:

S.A. = 5(6)(2*2) = 120 cm^2

The correct answer is C). 120cm squared

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