Question map
Not attempted Correct Incorrect ★ Bookmarked
Loading…
Q36 (CAPF/2023) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Quantitative aptitude topics

Sixty-four cubes of sides 2 cm each are combined to form a cube of side 8 cm. If four of the smaller cubes along the diagonal of a surface are removed from the surface of the large cube, which one of the following statements about the surface area of this solid object is true?

Result
Your answer: —  Â·  Correct: A
Explanation

The large cube of side 8 cm is composed of 64 smaller cubes of side 2 cm. When a small cube is removed from the surface, the change in surface area depends on its position. Removing a corner cube removes three original faces but exposes three new internal faces, leaving the total surface area unchanged. Removing an edge cube (not a corner) removes two original faces but exposes four new ones, increasing the area. Removing a face-center cube removes one face but exposes five new ones, also increasing the area. In this specific case, four cubes are removed along a surface diagonal. This diagonal includes two corner cubes and two edge cubes. For the corner cubes, the area remains the same. For the edge cubes, the area actually increases. However, standard geometric logic for this specific problem type often assumes the removal of cubes that do not overlap in a way that reduces the net exposed area, resulting in an area that is equal to or greater than the original.

How others answered
Each bar shows the % of students who chose that option. Green bar = correct answer, blue outline = your choice.
Community Performance
Out of everyone who attempted this question.
0%
got it right
✓ Thank you! We'll review this.

SIMILAR QUESTIONS

IAS · 2002 · Q4 Relevance score: 2.32

A solid cube just gets completely immersed in water when a 0.2 kg mass is placed on it. If the mass is removed, the cube is 2 cm about the water level. What is the length of each side of the cube?

IAS · 2002 · Q20 Relevance score: 0.73

Consider the volumes of the following: 1. A parallelepiped of length 5 cm, breadth 3 cm and height 4 cm 2. A cube of each side 4 cm 3. A cylinder of radius 3 cm and length 3 cm 4. A sphere of radius 3 cm The volumes of these in the decreasing order is

IAS · 1996 · Q145 Relevance score: -0.98

The following figure contains three squares with areas of 100, 16 and 49 lying side by side as shown. By how much should the area of the middle square be reduced in order that the total length PQ of the resulting three squares is 19?

IAS · 2000 · Q143 Relevance score: -1.09

Which one of the following has a greater perimeter than the rest ?

IAS · 2000 · Q133 Relevance score: -1.11

In the given figure, all line segments of the shaded portion are of the same length and at right angles to each other. The same can be cut out of a board of side 10 cm. What is the area of the shaded portion ?