Which of the following statements are true?
(i) All cubes are cuboids.
(ii) All cuboids are cubes.
(iii) A cube has 6 faces, 8 corners, and 12 edges.
(iv) A cube has 8 faces, 12 corners, and 6 edges.
Which of the following statements are true?
(i) All cubes are cuboids.
(ii) All cuboids are cubes.
(iii) A cube has 6 faces, 8 corners, and 12 edges.
(iv) A cube has 8 faces, 12 corners, and 6 edges.
The correct option is B (i) and (iii)
A cube is a pile of squares whereas a cuboid is a pile of rectangles. A square is a special kind of rectangle, it is one where all the sides have the same length. Thus, every square is a rectangle. Hence, all cubes are cuboids and not all cuboids are cube. Therefore (i) is true and (ii) is false.
In the figure, the corners are highlighted with yellow circles that are 8 in number. The edges are highlighted with orange lines that are 12 in number. The faces are highlighted in black that are 6 in number. Hence (iii) is true. So, statements (i) and (iii) are true.
(i) and (iii)
A cube is a pile of squares whereas a cuboid is a pile of rectangles. A square is a special kind of rectangle, it is one where all the sides have the same length. Thus, every square is a rectangle. Hence, all cubes are cuboids and not all cuboids are cube. Therefore (i) is true and (ii) is false.
In the figure, the corners are highlighted with yellow circles that are 8 in number. The edges are highlighted with orange lines that are 12 in number. The faces are highlighted in black that are 6 in number. Hence (iii) is true. So, statements (i) and (iii) are true.
