Page 73 - NUMINO Challenge_D2
P. 73
Type 8-1 Surface Area of a Cube with Holes

The solid figure on the right is made up of 27
cubes. Several cubes are removed so that it has
holes at the center. If the solid figure is completely
dipped in a bucket of paint, what is the surface area
of the solid figure in cm2? (The area of each face of
the cube is 1 cm2.)

1 All the views are the same as shown below. What is the total number of
colored faces that can be seen?

Top, Front, Side

2 The colored faces that cannot be seen are located where the cubes are
removed from the center of each face. How many colored faces are there
for each space where one cube is taken out?

3 What is the total number of colored faces that cannot be seen?

4 What is the total number of colored faces?

5 Since the area of each face of the cube is 1 cm2, the number of colored
faces equals the surface area of the solid figure. What is the surface area
of the solid figure in cm2?

70 NUMINO Challenge D2
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