A cube has a surface area of 24 sq cm. Find its volume.
Show answer Hide answer
Answer: A. 8 cc
Explanation
The total surface area of a cube is calculated using the formula six times the square of the side length. Dividing the surface area of twenty-four by six gives a side squared value of four, meaning the side length is two. Cubing the side length of two centimeters results in a total volume of eight cubic centimeters. A cube is a regular three-dimensional geometric solid featuring six identical square faces meeting at right angles. Surface area measures the total combined area covered by all outer faces of a solid geometric object. Volume measures the total three-dimensional capacity enclosed within the physical boundaries of a solid object.
Option B suggests sixteen cubic centimeters, which results from an incorrect side length calculation. Option C proposes thirty-two cubic centimeters, overestimating the capacity of a cube with a surface area of twenty-four. Option D offers sixty-four cubic centimeters, which corresponds to a cube with a much larger side length.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
Related questions
Q1. The true discount on a bill due in 9 months at 16% per annum is Rs. 189. Find the total bill amount:
Show answer Hide answer
Answer: B. Rs. 1764
Substituting the true discount, interest rate, and time period into the discount formula yields the principal. Solving the equation for the total bill amount incorporates the nine month duration at sixteen percent. The e...
Q2. Haroon's motorcycle tank of petrol lasts 10 days. If he starts using 25% more fuel daily, how many days will a full tank last?
Show answer Hide answer
Answer: D. 8days
An increase in daily fuel consumption by twenty five percent raises the daily usage rate proportionally. Dividing the original tank capacity duration by the new consumption multiplier determines the remaining days. Calcu...
Q3. A two-digit number has a tens digit two greater than its units digit, and equals 7 times the sum of its digits. Find the units digit.
Show answer Hide answer
Answer: B. 2
Expressing the two-digit number algebraically using tens and units variables sets up a linear equation. Substituting the condition that the tens digit exceeds the units digit by two into the equation. Solving the resulti...
Q4. The true discount on Rs. 2562 due in 4 months is Rs. 122. What is the interest percentage:_________?
Show answer Hide answer
Answer: C. 15%
Deriving the principal from the total amount and true discount establishes the base value of twenty four forty. Applying the simple interest formula with a four month time period yields the unknown rate variable. Solving...
Q5. An article sells for Rs. 616 including a 10% sales tax. If the vendor earns a 12% profit, what is the article's cost price:
Show answer Hide answer
Answer: A. Rs. 500
Dividing the selling price by one point ten removes the ten percent sales tax to find the pre tax price. Dividing the pre tax price by one point twelve accounts for the twelve percent vendor profit margin. Executing thes...
Q6. A cube has a volume of 1728 cc. Find its surface area.
Show answer Hide answer
Answer: A. 864 cm2
Extracting the cube root of the given volume seventeen twenty-eight determines the cube side length as twelve. Squaring the side length of twelve gives one hundred forty-four for the area of a single square face. Multipl...