Question : If the length of the diagonal of a cube is $7 \sqrt{3} \mathrm{~cm}$, then the surface area of the cube is_____.
Option 1: 216 cm2
Option 2: 256 cm2
Option 3: 284 cm2
Option 4: 294 cm2
Latest: SSC CGL Tier 1 Result 2024 Out | SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL Tier 1 Scorecard 2024 Released | SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: 294 cm 2
Solution : We know that the diagonal of a cube = a$\sqrt3$ According to the question, a$\sqrt3$ = 7$\sqrt{3}$ ⇒ a = 7 Now, the Surface area of the cube = 6a 2 = 6(7) 2 = 294 cm 2 Hence, the correct answer is 294 cm 2 .
Candidates can download this ebook to know all about SSC CGL.
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Question : Three cubes of equal volume are joined end to end. Find the surface area of the resulting cuboid if the diagonal of the cube is $6 \sqrt{3} \mathrm{~cm}$.
Question : The sum of the length, breadth, and height of a cuboid is 20 cm. If the length of the diagonal is 12 cm, then find the total surface area of the cuboid.
Question : The length of the longest diagonal of a cube is $7 \sqrt{3}$ cm. Find its volume (in cm3).
Question : If the surface area of a cube is 5046 cm2, then the volume of the cube is:
Question : If the surface area of a sphere is $1386 \mathrm{~cm}^2$, then its volume is: (Take $\pi=\frac{22}{7}$ )
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile