alleryThe volume of a cube of side 5 cm is
- 150 cm^3
- 75 cm^3
- 100 cm^3
- 125 cm^3
Show answer and solution
Correct answer: D. 125 cm^3
We have V = a^3.
That is V = 5 x 5 x 5.
So V = 125 cm^3.
GRE Mensuration — practice questions — page 2
Explore 57 free Mensuration questions in GRE Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 31–57 of 57.
The volume of a cube of side 5 cm isRead the answer and worked solution →The total surface area of a cube of side 6 cm isRead the answer and worked solution →The volume of a sphere of radius 7 cm is (use pi = 22/7)Read the answer and worked solution →The slant height of a cone with radius 6 cm and height 8 cm isRead the answer and worked solution →The lateral (curved) surface area of a cone with radius 5 cm and slant height 13 cm isRead the answer and worked solution →The value of cos 0 degrees + sin 90 degrees isRead the answer and worked solution →The value of sin^2(30) + cos^2(30) isRead the answer and worked solution →If sin(theta) = 3/5, then cos(theta) is (theta acute)Read the answer and worked solution →The value of sin(60) x cos(30) isRead the answer and worked solution →Compute 99² (without long multiplication, using (a + b)² or (a − b)²):Read the answer and worked solution →Using the identity (2m, m² − 1, m² + 1) for Pythagorean triplets, the triplet generated by m = 4 is:Read the answer and worked solution →Solve for z: 3(5z − 7) − 2(9z − 11) = 4(8z − 13) − 17Read the answer and worked solution →The square root of 0.81 is:Read the answer and worked solution →Square root of 144 is:Read the answer and worked solution →Which of these cannot possibly be the LAST digit (units digit) of a perfect square?Read the answer and worked solution →How many non-square natural numbers lie between 9² and 10² (exclusive of both)?Read the answer and worked solution →What is 35² without direct multiplication?Read the answer and worked solution →By how much does (n+1)² exceed n²?Read the answer and worked solution →A Pythagorean triplet has one member equal to 12, and the OTHER TWO members differ by 2. The triplet is:Read the answer and worked solution →What is the smallest natural number by which 180 must be MULTIPLIED so that the product becomes a perfect square?Read the answer and worked solution →What is the smallest natural number by which 1620 must be DIVIDED so that the quotient is a perfect square?Read the answer and worked solution →Compute 105² without direct multiplication:Read the answer and worked solution →Compute the square root of 12.96 (a decimal).Read the answer and worked solution →What is the units digit of (1234)²?Read the answer and worked solution →How many digits will be in the square root of a perfect square with EXACTLY 8 digits?Read the answer and worked solution →Two square fields have areas in the ratio 16 : 9. The ratio of their PERIMETERS is:Read the answer and worked solution →A square garden has area 2025 m². What is its side?Read the answer and worked solution →
Worked practice questions
The total surface area of a cube of side 6 cm is
- 216 cm^2
- 108 cm^2
- 144 cm^2
- 180 cm^2
Show answer and solution
Correct answer: A. 216 cm^2
TSA = 6 a^2 = 6 x 36 = 216 cm^2.
The volume of a sphere of radius 7 cm is (use pi = 22/7)
- 1232 cm^3
- 1372 cm^3
- 1438 cm^3
- 1540 cm^3
Show answer and solution
Correct answer: C. 1438 cm^3
V = (4/3) pi r^3 = (4/3) x (22/7) x 343 = (4 x 22 x 343) / 21 = 30184/21 ≈ 1437.3. Closest = 1438 cm^3.
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