Volume of Rectangular Box Using Unit Cubes

Q.

A unit cube has a volume of $1c{m}^3$.

1. True

2. False

Q. Find the volume of the given cuboid. Volume of each cube is $1c{m}^3$.

1. $12c{m}^3$
2. $10c{m}^3$
3. $18c{m}^3$
4. $16c{m}^3$

Q. What is the volume of a cube whose edge is of length 4cm?

1. 5 cm

2. cm

3. cm

4. Can't be detrmined

Q.

The weight of 1 cubic centimeter of iron is 7.8 grams. In what all ways can we express the relation between the weight of an object made of iron and its volume? Give a shortened version using letters.

Q.

How many cubes of side length 3 cm can be fit in a cuboid of dimension 3 cm × 6 cm × 9 cm?

1. 9

2. 10

3. 6

4. 2

Q.

What is the formula of volume?

Q.

Find the volume of the composite figure given below. The volume of each small cube is $1c{m}^3$.

1. $8c{m}^3$

2. $4c{m}^3$

3. $6c{m}^3$

4. $7c{m}^3$

Q. A container is in the shape of a rectangular prism. The base area of the container is 200 square inches and its height is 24 inches, as shown in the given image. What is the volume of the container?

1. 1440 cu in
   
2. 4800 cu in
   
3. 2000 cu in
   
4. 2400 cu in
   

Q. The shape of an aquarium is that of a rectangular prism. It can hold 1800 cubic inches of water. Observe the diagram of the aquarium in the given image and find its height.
{Hint: Volume of a rectangular prism = length$\times$ width$\times$ height}

1. 8 in
2. 12 in
3. 15 in
4. 10 in

Q.

Find the volume of the cuboid whose dimensions are:
(i) length $=26m$, breadth $=14m$ and height $=6.5m$
(ii) length $=24m$, breadth$=25m$ and height $=6m$

Q.

The measurements of a luggage box are $48\mathrm{cm},36\mathrm{cm},28\mathrm{cm}$. Find the volume of the box. How many square centimeters of cloth is required to make a cover for the box?

Q.

A tanker of capacity $200\mathrm{litres}$ has $120.5\mathrm{litres}$ of milk. How much more milk can be poured into the tanker?

Q.

If each cube is of side 2m, what is the volume of a cuboid made using 6 such cubes?

1. $38m^3$

2. $58m^3$

3. $48m^3$

4. $47m^3$

Q.

What is the volume of the following tower formed by stacking square blocks of different sizes?

1. Sum of volumes of all square blocks

2. Number of square blocks

3. Sum of heights of all square blocks

4. Sum of weights of all square blocks

Q. Four cubes of dimensions 3 cm $\times$ 3 cm $\times$ 3 cm are placed side by side, the length of resulting cuboid is:

1. 12 cm
2. 6 cm
3. 4 cm
4. 9 cm

Q.

Calculate the volume of the given figure. Assume all lengths to be in centimetres

1. $344c{m}^3$

2. $324c{m}^3$

3. $314c{m}^3$

4. $334c{m}^3$

Q.

Find the volume of the cube by measuring the unit cubes.

1. $12c{m}^3$

2. $15c{m}^3$

3. $18c{m}^3$

4. $10c{m}^3$

Q. A rectangular cube is of iron is of side 4 cm. 1 cubic cm of iron weighs 8 grams. What is the weight of the large cube?​

1. 64 grams
2. 512 grams
3. 16 grams
4. 8 grams

Q. The dice resembles which of the following solid figures?

1. Cone
2. Cube
3. Cuboid
4. Cylinder

Q. A rectangular prism sandbox is $0.55$ meters high, $2.5$ meters wide, and $3$ meters long. If the sand in the box is $0.25$ meters deep, what will the volume of sand in the box be?

1. $1.875cum$
2. $4.125cum$
3. $18.75cum$
4. $41.25cum$

Q.

What is the volume of a large block if it is made up of 34 cubes, each of side 1 cm ?

1. $34c{m}^3$

2. $24c{m}^3$

3. $44c{m}^3$

4. $14c{m}^3$

Q.

What is the volume of the following figure?

1. $10c{m}^3$

2. $20c{m}^3$

3. $15c{m}^3$

4. $12c{m}^3$

Q. The volume of the following rectangular prism is .
(Volume of each cube is 1 cm${}^3$.)
[2 Marks]

Q.

Find the volume of the figure given below.

1. $5c{m}^3$

2. $7c{m}^3$

3. $8c{m}^3$

4. $6c{m}^3$

Q. The volume of the following rectangular prism is .
(Volume of each cube is 1 cm${}^3$.)

1. $5c{m}^3$
2. $8c{m}^3$
3. $9c{m}^3$

Q.

A match box measures 4 cm $\times$ 2.5 cm $\times$ 1.5 cm. Which of the following does not represent the volume of a packet containing 12 such boxes?

1. $12\times 15c{m}^3$

2. $180c{m}^3$

3. $(12\times 4\times 2.5\times 1.5)c{m}^3$

4. $(4\times 2.5\times 1.5)c{m}^3$

Q.

A water container can hold 40 litres of water. The number of ice cubes of side 5 cm that can fit in the container are ____

1. 280

2. 480

3. 200

4. 320

Q.

Two blocks: K1 and K2 are made up of 55 and 60 small blocks of the same size respectively.

From the above statement we can conclude that the volume of K1 is greater than K2.

1. False

2. True

Q. ntWhat is the volume of 1.5 N H2O2 solution in 5.6 litren nt(A) 4.8n nt(B) 8.4n nt(C) 3.0n nt(D) 8.0n

Q.

It costs Rs. $\mathbf{2200}$ to paint the inner curved surface of a cylindrical vessel $\mathbf{10}\mathbf{}\mathbf{m}$ deep. If the cost of painting is at the rate of Rs. $\mathbf{20}$ per ${\mathbf{m}}^{\mathbf{2}}$, find

(i) inner curved surface area of the vessel,

(ii) radius of the base,

(iii) capacity of the vessel,