Areas of three adjacent sides of a cuboid are a,b,c. Volume of the cuboid is N.

Question

Areas of three adjacent sides of a cuboid are a,b,c. Volume of the cuboid is N. The value of N $^{2}$ equals to?

Options:

A . abc

B . (ab+ac+bc)

C .

\sqrt{(a^{3} + b^{3} + c^{3})}

D . None of these

Answer: Option A
:
A

Assume sides to be x,y,z. Then xy=a, yz=b, xz=c.

Multiplying: (xyz) $^{2}$ = abc; =N $^{2}$ . (Vol=xyz)

Hence Ans: (a)

Was this answer helpful ?

Next Question

More Questions on This Topic :

Question 1. A string of certain length n makes one perfect turn around a cube of side A, starting from corner X and ending at Y (as....(as in the fig). Find the length of the string.

Question 2. Three coins are placed in such a way that one coin touches the other two (in the same plane). If the radius of each coin....area of the triangle that circumscribes this arrangement of coins.

Question 3. Two spheres of radii 6 cm and 1 cm are inscribed inside a right circular cone. The bigger sphere touches the smaller sph....of the cone. What is the height of the cone?

Question 4. A sphere of radius 13 cm is cut by a plane whose distance from the centre of the sphere is 5cm. What is the circumfere....5cm. What is the circumference of the section so obtained?

Question 5. A square hole of cross sectional area 4 cm2 is drilled across a cube with its length parallel to a side of the cube. I....is the total surface area of the structure so formed?

Question 6. What’s the area of the shaded region? Given that the side of the square = 1 unit.....

Question 7. An equilateral triangle plate is to be cut into n number of identical small equilateral triangle plates. Which of the ....Which of the following can be a value of n.

Question 8. A fan has 3 equally spaced blades. The central dial has an area of 3π cm2. Length of each blade is (20-√3)cm. If a tr....is drawn from the tips of the blades, find its area.

Question 9. A goat is tied to two poles P and Q with 15 m ropes. P and Q are 20 m apart. What is the area the goat is likely to graz....What is the area the goat is likely to graze.

Question 10. If a, b, c are sides of a triangle such that a2+b2+c2=ab+bc+ac. Then the triangles are: ....

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

DSP Combined 1 Free Revision Test SAIL JO E-0

GPOE / GPA Combined 1 Free Revision Test SAIL JO E-0

BSP Plant Specific Review Test SAIL JO E-0

BSL Combined 1 Free Revision Test SAIL JO E-0

GFM Combined 1 Free Revision Test SAIL JO E-0