Question
Interlocking cubes come in different colours. Different shapes can be created by joining them.
Sasha is making large cube using small interlocking cubes. She starts with a yellow cube and then fits one layer of red cubes around it to make the large cube.
On the basis of above given information, answer the following questions.
(i) What is the number of red cubes used?
(a) 9 $~~\quad$ (b) 18
(c) 26 $\quad$ (d) 27
(ii) Sasha considers the red layer as the first layer on the yellow cube. Which equation can be used to find the number of red cubes?
(a) $6 x^2$ $~\qquad$ (b) $x^3$
(c) $x^3+1$ $\quad$ (d) $2(x+2)^2+4 x^2$
(iii) The red cube is surrounded by a layer of green cubes. The resulting figure is also a cube. What is the number of green cubes used?
(iv) Shubham puts $\text x$ layers around the yellow cube. How many small cubes did he use on the top-most face of the large cube so formed?
Sasha is making large cube using small interlocking cubes. She starts with a yellow cube and then fits one layer of red cubes around it to make the large cube.
On the basis of above given information, answer the following questions.
(i) What is the number of red cubes used?
(a) 9 $~~\quad$ (b) 18
(c) 26 $\quad$ (d) 27
(ii) Sasha considers the red layer as the first layer on the yellow cube. Which equation can be used to find the number of red cubes?
(a) $6 x^2$ $~\qquad$ (b) $x^3$
(c) $x^3+1$ $\quad$ (d) $2(x+2)^2+4 x^2$
(iii) The red cube is surrounded by a layer of green cubes. The resulting figure is also a cube. What is the number of green cubes used?
(iv) Shubham puts $\text x$ layers around the yellow cube. How many small cubes did he use on the top-most face of the large cube so formed?
