Question

Which of the following is the other name of a cube?
(A). Tetrahedron
(B). Regular hexahedron
(C). Square antiprism
(D). Cuboctahedron

Answer 1

Hint: We will observe each of the given options and then try to identify if any of them is the other name of cube. The observation is based on if any shape has 6 square faces of equal length then it is called a cube.

Complete step-by-step solution -
It is given in the question that to name the other name of cube also we have four options –Tetrahedron, Regular hexahedron, Square antiprism and Cuboctahedron. We will look over all the four shapes and decide our answer accordingly. Basically, a cube is a symmetrical three dimensional shape having six equal squares.
Clearly the first option, Tetrahedron is wrong because Tetrahedron does not have 6 square faces. It has 4 faces. Therefore Tetrahedron cannot be the other name of the cube.

Second option Regular hexahedron is a cube because a regular hexahedron has six square faces. Therefore, this can be our correct answer because it best matches the cube. But let us see other options too.

Third option is also wrong because square antiprism has some of its faces as square shaped while some of its shapes as triangle shaped. Therefore Square antiprism cannot be the other name of cube.

Fourth option is Cuboctahedron. It also cannot be the correct answer as it has more than six faces. Therefore Cuboctahedron cannot be the other name of the cube.

So, the best match of cube amongst the given choices is Regular hexahedron. Therefore, option b) is our correct answer.

Note: Usually students confuse in square antiprism and hexahedron but hexahedron is the other name of cube. These types of questions are very basic and straightforward and are needed to be memorized.