# Volume of Cuboid

## Trending Questions

**Q.**Find the surface area of a sphere, if its volume is 38808 cubic cm.($\mathrm{\pi}=\frac{22}{7}$)

**Q.**Find the radius of a sphere if its volume is 904.32 cubic cm. ($\mathrm{\pi}$= 3.14)

**Q.**

The volume of a wall, 5 times as high as it is wide and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall in cm.

- 40

**Q.**

The volume of a wall, 5 times as high as it is wide and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall in cm.

- 40

**Q.**

Find the volume of a box of length $80cm$, breath $50cm$ and depth 40 cm in ${m}^{3}$.

**Q.**Find the height(in metres) of the cubical tank that contains 27, 000 liters of water in it.

- 3

**Q.**

Volume of the largest cut diamond is 1.84 cubic inches. What is its volume in cubic centimetre and cubic metres? [1 inch = 2.54 cm]

**Q.**Find:

**Q.**

The diameter of a right circular cylinder is decreased by $10\%$ The volume of the cylinder remains the same then the percentage increase in height is:

$20\%$

$23.45\%$

$5\%$

$20.5\%$

**Q.**

A hexagonal hole with each side 2m is dug in a school ground to collect rain water. It is 5m deep. Currently it has water, 1 m deep. How much water is collected in the hole?

6√3m3

6m3

5√3m3

4√3m3

**Q.**

The volume of a cone of radius 12 cm and slant height 20 cm is 16896 cm3.

True

False

**Q.**

Question 2

A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold? (1m3=1000l)

**Q.**

**A piece of metal in the form of a cone of radius **$\mathbf{3}\mathbf{}\mathbf{cm}$** and height **$\mathbf{7}\mathbf{}\mathbf{cm}$** is melted and cast into a cube. Find the side of the cube. **

**Q.**Find the volume of a cuboidal block of length 26 cm, breadth 13 cm and height 9 cm.

- 3042 cm3
- 3052 cm3
- 3242 cm3
- 4042 cm3

**Q.**The time taken to empty a water tank of capacity 1024 m3 at the rate of 64 m3min is

- 16 minutes
- 24 minutes
- 32 minutes

**Q.**

Question 3

A cuboidal vessel is 10 m long and 8 m wide. How high must it be made to hold 380 cubic metres of a liquid?

**Q.**Find the volume of a cuboid whose length is 24 cm , breadth is 12 cm and height is 13 cm.

- 37454 cm3
- 3764 cm3
- 3744 cm3
- 3794 cm3

**Q.**

Water is flowing at the rate of 15 km/hr through a pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m wide. Find the time in which the level of water in the tank will rise by 21 cm.

4 hrs

5 hrs

3 hrs

2 hrs

**Q.**

The picture below is of a water trough:-

The front and back faces are identical isosceles trapeziums. How many litres of water can it hold?

766 m3.

1242 litres.

875 litres.

1000 litres.

**Q.**

The radius and height of a right circular cone are in the ratio 1:2. If its volume is 144π cm3, find its slant height.

5 √5 cm

6 √5 cm

4 √5 cm

5 √6 cm

**Q.**

Find the volume of a cubical box whose surface area is 13.50 cm^{2}.

9.1000 cm

^{3}8.475 cm

^{3}3.375 cm

^{3}3.750 cm

^{3}

**Q.**The volume of a wall, 5 times as high as it is wide and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall.

- 40 cm
- 30 cm
- 20 cm
- 10 cm

**Q.**Arrange the following cylindrical and cuboidal shaped containers in increasing order of their volume.

- R=r, H=h
- R=2r, H=h2
- R=2r, H=h
- L=r, B=r, H=h

**Q.**If V is the volume of a cuboid of dimensions x, y, z and A is its surface area, then $\frac{A}{V}$

(a) x

^{2}y

^{2}z

^{2}

(b) $\frac{1}{2}\left(\frac{1}{xy}+\frac{1}{yz}+\frac{1}{zx}\right)$

(c) $\left(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}\right)$

(d) $\frac{1}{xyz}$

**Q.**Milk is pouring into a reservoir at the rate of 90 litres per minute. If the volume of reservoir is 108 m3. Find the number of minutes it will take to fill the reservoir.

- 1600 minutes
- 1200 minutes
- 1400 minutes
- 2000 minutes

**Q.**Find the volume of cuboid with 6 cm, 8 cm, 10 cm as its dimensions

**Q.**Find the area of the base of a cuboid if its volume is 48 cubic m and its height is 4 m.

- 16 sq. m
- 12 sq. m
- 44 sq. m
- 24 sq. m

**Q.**A match box measures 4 cm×2.5 cm×1.5 cm. Volume of a packet containing 12 such boxes (no space is left in the packet) is ____________.

- 170 cm3
- 150 cm3
- 180 cm3
- 120 cm3

**Q.**A cuboidal tank can hold 650 litres of milk. If it is 130 cm long and 250 cm wide, then the height of the tank is

- 20 cm
- 25 cm
- 30 cm

**Q.**If V is the volume of a cuboid of dimensions a, b, c and S is its surface area, then prove that

$\frac{1}{V}=\frac{2}{S}\left(\frac{1}{a}+\frac{1}{b}+\frac{1}{c}\right)$