Problems in Everyday Life

Q.

$1$ meter is equal to how many feet $?$

Q.

A cupcake recipe makes $12$ cupcakes. The recipe calls for $2$ cups of granulated sugar and $2$ cups of powdered sugar. How many total cups of sugar will be required to make $42$ cupcakes?

1. $8$

2. $10$

3. $12$

4. $14$

5. 16

Q. If each edge of a cube of volume V is doubled, then the volume of the new cube becomes .

1. 2V
2. 4V
3. 8V

Q.

A rectangular container with base of $200c{m}^2$ is filled with water to a height of 15cm.If the container has a height of 20cm, how much water should be added to fill it completely?

1. 2l

2. 3l

3. 1l

4. The container is already full

Q.

Ravi had $\frac{5}{6}$ of a cake. He ate $\frac{2}{3}$ of it. What part of the cake did he eat?

1. $\frac{5}{9}$

2. $\frac{10}{12}$

3. $\frac{10}{6}$

4. $\frac{10}{3}$

Q. If 4 bags can hold $\frac{1}{2}$ kg of rice, then 48 bags can hold kg of rice.

1. 6
2. 8
3. 7

Q.

A tailor uses $3\mathrm{m}$ of clothes to make $2$ dresses for the dancers. How much cloth does he use to make$18$ dresses?

Q.

If you can eat $\frac{2}{3}$ pizza containing 6 slices, how many slices can you eat?

1. 1

2. 2

3. 3

4. 4

Q.

How many litres of water can a rectangular vessel of length 3 cm, breadth 17 cm and height 12 cm contain when it is completely filled?

1. 0.612 litres

2. 0.512 litres

3. 0.712 litres

4. 0.312 litres

Q. If 4 bags can hold $\frac{1}{2}$ kg of rice, then how many kgs of rice can 48 bags hold?

Q.

Express $6km705m$as kilometers using decimals

Q. What is the maximum number of cuboids of dimension $2cm\times 3cm\times 1cm$, that can be accommodated in a cuboid of dimension $6cm\times 12cm\times 4cm$?

1. 48

Q.

Question 125 (i)

The plan and measurement for a house are given in the figure. The house is surrounded by a path 1 m wide.

Find the cost of paving with bricks at the rate of ₹ 120 per $m^2$.

Q.

The length, breadth and height of a rectangular iron block are 8 centimetres, 5 centimetres and 2 centimetres. What is its volume?

The weight of 1 cubic centimeter of iron is 7.8 grams. What is the weight of the iron block?

Q. A cubical container with a side of 5 cm is filled with water up to a height of 2 cm.
extra water should be added to fill the container.

1. $50c{m}^3$
2. $100c{m}^3$
3. $75c{m}^3$

Q. small cuboids with dimensions 20 cm $\times$ 25 cm $\times$ 40 cm each, can be accommodated in a cubical box of a 2-m edge.

1. 40
2. 4
3. 400

Q.

External dimensions of a wooden cuboid are 30 cm, 25 cm and 20 cm. If the thickness of the wood is 2 cm all around, find the volume of the wood contained in the cuboid formed.

1. $6264c{m}^3$

2. $6236c{m}^3$

3. $5264c{m}^3$

4. $6364c{m}^3$

Q.

$120$ apples are packed in $x$ Cartons equally. How many apples are packed in each carton?

Q.

A bus covers $24\mathrm{km}$ in $\frac{2}{5}\mathrm{hours}$. How long will it take to cover $135\mathrm{km}$?

Q. For what side length, the perimeter and area of the square will be numerically equal?

1. 4 cm
2. 3 cm
3. 2 cm
4. 11 cm

Q.

$3$ lemons are used to make $5$ glasses of lemon shake .How many lemons will be needed to make $20$ glasses of shake ?

Q. A cubical box of side 30 cm is filled with some cubical boxes of side 2 cm. How many small boxes are there?

1. 3375

Q.

A rectangular tank has dimensions 4 m × 3 m × 3 m. The amount of water it will contain when it is two-third filled is___

1. 44000 Litres

2. 34000 Litres

3. 24000 Litres

4. 14000 Litres

Q.

$Costof$ $6kg$ $ofwheatisRs$ $72$.

a) $Whatisthecostof$ $8kg$ $ofwheat?$

b) $WhatquantityofwheatcanbepurchasedforRs$ $61$?

1. Rs $96$ and $5.08kg$
2. Rs $12$ and $30.5kg$
3. Rs $84$ and $12kg$
4. Rs $108$ and $5.48kg$

Q.

A rectangular pit $1.4m$ long, $90cm$ broad and $70cm$ deep was dug and $1000$ bricks were made from the earth dug out. Find the volume of one brick.

Q. Find the volume of the figure (in ${\text{inch}}^3$).

1. 100

Q. Sam has bricks of height 10 cm, he wants to stack them one above the other to achieve a height of 2 meter. How many bricks will he require?

1. 200
2. 0.2
3. 2
4. 20

Q. When 32 litres of water is added, 50% of a cubical aquarium is filled. The height of the aquarium is cm.

1. 40
2. 35
3. 50

Q. If each edge of a cube is doubled, the its volume :

1. is doubled
2. become $4$ times
3. become $6$ times
4. become $8$ times

Q. A solid cubical block of fine wood costs ₹ 729 at the rate of ₹ 27 per cubic metre. The length of each side of cubical block is .

1. 27 metres
2. 3 metres
3. 9 metres