Comparison of 1D, 2D and 3D Objects

Q.

How do we find the volume of a rectangular block using its length, breadth and height? Let l denote the length, b the breadth, h the height and v the volume of the block. How do we express a method of finding the volume?

Q.

The ______ of an object tells us how long or short the object is.

1. time

2. mass

3. length

4. capacity

Q.

Find the Volume of the given cuboid.

$l=6cm,b=4cm,h=2cm$

Q.

D1, D2, D3 and D4 are rectangles with areas $8m^2,6m^2,9m^{2}and4m^2$ respectively. Which is the 'biggest' rectangle?

1. D4

2. D1

3. D2

4. D3

Q.

Volume of a rectangular box (cuboid) with $\mathrm{length}=2\mathrm{ab}$, $\mathrm{breadth}=3\mathrm{ac}$ and $\mathrm{height}=2\mathrm{ac}$ is

1. $12{\mathrm{a}}^3{\mathrm{bc}}^2$

2. $12{\mathrm{a}}^3\mathrm{bc}$

3. $12{\mathrm{a}}^2\mathrm{bc}$

4. $2\mathrm{ab}+3\mathrm{ac}+2\mathrm{ac}$

Q.

R1, R2, R3 and R4 are 4 rectangles with areas $15m^2,6m^2,9m^{2}and2m^2$ respectively. Which is the 'biggest' rectangle?

1. R2

2. R3

3. R1

4. R4

Q.

Four rectangular blocks R1, R2, R3 and R4 have volumes $4m^3,10m^3,7m^{3}and9m^3$ respectively. Which one is the smallest ?

1. R1

2. R2

3. R3

4. R4

Q.

Four rectangular blocks R1, R2, R3 and R4 have volumes $4m^3,6m^3,8m^{3}and2m^3$ respectively. Which one is the smallest ?

1. R1

2. R3

3. R2

4. R4

Q.

The smaller of two sticks t1 and t2 having lengths 5 m and 8 m respectively is t2.

1. True

2. False

Q.

In case of two rectangular blocks, which of the following can be used to determine which one is larger ?

1. Volume

2. Area

3. Length

4. Height

Q.

Z1, Z2, Z3 and Z4 are 4 rectangles with areas $18m^2,16m^2,28m^{2}and26m^2$ respectively. The biggest rectangle is ____

1. Z4

2. Z1

3. Z2

4. Z3

Q.

The 'bigger' of the two sticks t1 and t2 having lengths 8 m and 10 cm respectively is t2.

1. True

2. False

Q.

The area of the rectangle of length = 1 m and width = 2 m is $2m^2$ . What will be the volume of a rectangular block with the same base area and height = 1 m ?

1. $4m^3$

2. $1m^3$

3. $2m^3$

4. $3m^3$

Q.

Which of the following statement is true about the interior and exterior portion of a circle?

1. Interior portion is a restricted area whereas exterior extends indefinitely

2. Both interior and exterior portion extend indefinitely

3. Both interior and exterior portion is a restricted area

4. Exterior portion is a restricted area whereas interior portion extends indefinitely

Q. If the length of a matchbox is 5 cm, breadth 3 cm and height 1 cm, find its volume.

Q.

___________is the space occupied by plane figure on a surface.

Q.

Two blocks X1 and X2 are made up of 784 and 994 smaller blocks of same size respectively.

The volume of X1 is more than X2.

1. True

2. False

Q.

Which one of the following has volume?

1. Hexagon

2. Square

3. Triangle

4. Rectangular block

Q.

Two blocks M1 and M2 are made up of 85 and 105 smaller blocks of the same size respectively. The volume of M1 is greater than M2.

1. True

2. False

Q.

The bigger of two sticks t1 and t2 having lengths 7 m and 9 m respectively is t2.

1. True

2. False

Q.

What is the volume of a large block if it is made up of 144 cubes of side 1 m?

1. $124m^3$

2. $174m^3$

3. $134m^3$

4. $144m^3$

Q. A storage tank in the form of a cube has water up to its brim. The amount of water in the tank is 4096 m³. After sometime some water was used and , it is found that the depth of water present is 12 m. Find the volume of water used. [3 Marks]

Q.

Which one of the following has volume?

1. 

2. 

3. 

4. 

Q.

Which of the following criteria is used to determine whether a rectangular block is larger or smaller than another?

1. Angle

2. Length

3. Volume

4. Width

Q.

Four blocks k1, k2, k3 and k4 are made up of 6, 8, 5 and 10 smaller blocks of the same size respectively. Which is the smallest block among k1, k2, k3 and k4 ?

1. k1

2. k2

3. k3

4. k4

Q.

Select the criterian that can be used to determine which of any two given circles is 'bigger'?

1. Area

2. Length

3. Height

4. Volume

Q.

Which is the biggest one among rectangles R1, R2, R3 and R4 having areas $78m^2,56m^2,98m^{2}and46m^2$ respectively.

1. R4

2. R1

3. R2

4. R3

Q.

The 'bigger' of two sticks t1 and t2 having lengths 0.25 m and 0.45 m respectively is t2.

1. True

2. False

Q.

Four rectangular blocks B1, B2, B3 and B4 have volumes $100m^3,300m^3,50m^{3}and95m^3$ respectively. The smallest block is___

1. B2

2. B1

3. B3

4. B4

Q.

Which of the following is equal to 2 cubic metres?

1. 3000000 cubic centimetres.

2. 2000000 cubic centimetres.

3. 1000000 cubic centimetres.

4. 4000000 cubic centimetres.