Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

Two cubes each of edge 9 cm are joined to form a single cuboid. What is the total surface area of the cuboid formed?

Options:

775 cm²

810 cm²

990 cm²

1024 cm²

Correct Answer:

810 cm²

Explanation:

The cuboid formed by joining two cubes is:

The dimensions of the newly formed cuboid is = 18 x 9 x 9

Total surface area of a cuboid (a x b x c) = 2(ab + bc + ac) 

Total surface area of cuboid of dimensions 18 x 9 x 9 = 2[(18x9) + (9x9) + (18x9)]

                                                     = 2[162 + 81 162] = 2 x 405

                                                     = 810 cm²