>
Exams
>
Mathematics
>
Volume of Cube, Cuboid and Cylinder
>
an open box with square base is to be made out of
Question:
An open box with square base is to be made out of a given quantity of cardboard of area
\(P^2\)
sq. units. The maximum volume of the box is :
CUET (UG) - 2023
CUET (UG)
Updated On:
Sep 3, 2024
\(\frac{P^3}{6}\)
\(\frac{P}{6\sqrt{3}}\)
\(\frac{P^2}{6\sqrt{3}}\)
\(\frac{P^3}{6\sqrt{3}}\)
Hide Solution
Verified By Collegedunia
The Correct Option is
D
Solution and Explanation
The correct option is (D):
\(\frac{P^3}{6\sqrt{3}}\)
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Volume of Cube, Cuboid and Cylinder
If the volume of a cylinder is 500 m
3
and the area of its base is 25 m
2
, then its height (in m) is
AP POLYCET - 2024
Mathematics
Volume of Cube, Cuboid and Cylinder
View Solution
What is the volume of a 6m deep tank having rectangular shaped top 6mx4m and bottom 4mx2m (compound through the use of prismoidal formula)
CUET (PG) - 2023
Mathematics
Volume of Cube, Cuboid and Cylinder
View Solution
Which of the following statements are incorrect?(A) Volume of a cone = \(\frac{1}{3} \pi r^3 h\) (B) Volume of a cone = \(\frac{1}{3} \pi r^2 h\) (C) Volume of a hemisphere = \(\frac{2}{3} \pi r^2\) (D) Volume of a hemisphere = \(\frac{2}{3} \pi r^3\) (E) Volume of a cylinder = \(\frac{1}{3} \pi r^3 h\) Choose the
correct
answer from the options given below:
CUET (UG) - 2023
Mathematics
Volume of Cube, Cuboid and Cylinder
View Solution
Which of the following statements are incorrect?
(A) Volume of a cone = \(\frac{1}{3} \pi r^3 h\)
(B) Volume of a cone = \(\frac{1}{3} \pi r^2 h\)
(C) Volume of a hemisphere = \(\frac{2}{3} \pi r^2\)
(D) Volume of a hemisphere = \(\frac{2}{3} \pi r^3\)
(E) Volume of a cylinder = \(\frac{1}{3} \pi r^3 h\)
Choose the
correct
answer from the options given below:
CUET (UG) - 2023
Mathematics
Volume of Cube, Cuboid and Cylinder
View Solution
The perimeter of one face of a cube is 24cm, its volume must be :
CUET (UG) - 2023
Mathematics
Volume of Cube, Cuboid and Cylinder
View Solution
View More Questions
Questions Asked in CUET exam
A molecule X associates in a given solvent as per the following equation:
X ⇌ (X)
n
For a given concentration of X, the van’t Hoff factor was found to be 0.80 and the
fraction of associated molecules was 0.3. The correct value of ‘n’ is:
CUET (UG) - 2024
Solutions
View Solution
Who devised the concept of Intelligence Quotient (IQ)?
CUET (UG) - 2024
Psychological attributes
View Solution
Two pipes A and B can fill a tank in 32 minutes and 48 minutes respectively. If both the pipes are opened simultaneously, after how much time B should be turned off so that the tank is full in 20 minutes?
CUET (UG) - 2024
Time and Work
View Solution
If
\(A = \begin{bmatrix} 3 & 2 \\ -1 & 1 \end{bmatrix} \quad \text{and} \quad B = \begin{bmatrix} -1 & 0 \\ 2 & 5 \\ 3 & 4 \end{bmatrix},\)
then \((BA)^T\) is equal to:
CUET (UG) - 2024
Matrices
View Solution
The spin-only magnetic moment of Hexacyanomanganate(II) ion is.........BM
CUET (UG) - 2024
Magnetic moment
View Solution
View More Questions