Volume of Cuboid

Q. A cuboid is 25 cm long, 15 cm broad and 8 cm high. How much of its volume will differ from that of a cube with the edge of 16 cm?

Q. Find the volume of a cuboid whose breadth is half of its length and height is double the length.

Q.

A building is in the form of a cuboid with an overhead tank in the form of a cylinder such that the tank spans halfway across the length of the building. Find the volume of the entire structure if the dimensions of the building is $20m\times 10m\times 20m$ and the height of the tank is 5m.

1. $4000+500\pi$

2. $4000+125\pi$

3. $4000+250\pi$

4. $4400+250\pi$

Q. Question 4
A cuboid is of dimensions 60 cm $\times$ 54 cm $\times$ 30 cm. How many can small cubes with side 6 cm be placed in the given cuboid?

Q.

Question 118

Solve the following question:

Find the length of each side of a cube, if its volume is $512c{m}^3$

Q. Capacity of water tank is 1000 $l$. If the shape of tank is cube then find the side of the cube.

Q. The product of the areas of the bottom, side and front faces of a rectangular box is .

1. its volume
2. 2×Volume
3. volume${}^2$

Q.

Find the volume of a cuboid of dimensions 20 × 10 × 5 units.

1. 100

2. 500

3. 1000

4. 1500

Q. A solid cubical block of fine wood costs ₹256 at the rate of ₹500/m${}^3$. Find the length of each side.

1. 90 cm

2. 80 cm

3. 70 cm
4. 120 cm

Q. A cuboid is of dimensions 60 cm $\times$ 54 cm $\times$ 30 cm. How many small cubes with side 6 cm can be placed in the given cuboid?

1. 400
2. 460
3. 425
4. 450

Q. A solid cubical block of fine wood costs ₹256 at the rate of ₹500/m${}^3$. Find the length of each side.

1. 90 cm

2. 80 cm

3. 70 cm
4. 120 cm

Q. Hameed has built a cubical water tank with lid for his house, with each outer edge 1.5 m long. He gets the outer surface of the tank excluding the base, covered with square tiles of side 25 cm. Find how much he would spend for the tiles, if the cost of the tiles is ₹360 per dozen.

Q. A rectangular cardboard sheet measures $48$ cm $\times$ $36$ cm. From each of its corners, a square of $8$ cm is cut off. An open box is made of the remaining sheet. The volume of the box is:

1. $5120c{m}^3$
2. $6400c{m}^3$
3. $8960c{m}^3$
4. $2560c{m}^3$

Q. A cuboid is of dimensions $60cm\times 54cm\times 30cm$. How many small cubes with side $6cm$ can be placed in the given cuboid?

Q. Capacity of water tank is 1000 $l$. If the shape of tank is cube then find the side of the cube.

Q. Find the volume of a cuboid of dimensions 30 m, 20 m, and 5 m.

1. 6, 000 $m^3$
2. 3, 000 $m^3$
3. 12, 000 $m^3$
4. 6, 000 $m^2$

Q.

What is the volume of the given rectangular prism? ( Area of each cube is 1 unit${}^2$)

1. $5c{m}^3$

2. $8c{m}^3$

3. $4c{m}^3$

4. $9c{m}^3$

Q. Find the height (in cm) of a cuboid whose volume is $275{cm}^3$ and base area is $25{cm}^2$.

Q. Find the area of a sector with an arc length of $20cm$ and a radius of $6cm$.

1. $20$ $c{m}^2$
2. $40$ $c{m}^2$
3. $80$ $c{m}^2$
4. $60$ $c{m}^2$

Q.

Determine the ratio of the length of the longest rod that can be fitted in a sphere to the length of the longest rod that can be fitted in a cube, given that the sphere exactly fits inside the cube.

1. 2 : 1

2. $\sqrt{3}:1$

3. 1 : 1

4. $1:\sqrt{3}$

Q. Mary serves juice to her guests in cylindrical cups of radius 7 cm having a height of 10 cm. If she serves 25 cups, she will need cm${}^3$ of juice.

1. 77000
2. 1540
3. 3850
4. 38500

Q. Parikshit makes a cuboid of plasticine of sides $5$ cm, $2$ cm and $5$ cm. How much such cuboids will he need to form a cube?