Volume of Cube

Q.

Each edge of a cube is increased by $20\%.$ What is the percentage increase in the volume of the cube?

Q. If the side of a cube is reduced to half, then its volume is _____.

1. reduced by 8 times
2. reduced by 6 times
3. reduced by 4 times
4. reduced by 12 times

Q.

Two cubes with sides $6cm$ are placed one above the other, forming a cuboid. Find the total surface area of the cuboid thus formed

1. $320c{m}^2$
2. $360c{m}^2$
3. $380c{m}^2$
4. $440c{m}^2$

Q.

A wall $15m$ long , $30cm$ wide, and $4m$ high is made of bricks, each measuring $22cm\times 12cm\times 7.5cm.$ If $\frac{1}{12}$ of the total volume of the wall consists of mortar, how many bricks are there in the wall?

Q. Two cubes have volumes in the ratio $1:64$. The ratio of their sides is ____.

1. $1:3$
2. $1:4$
3. $1:8$
4. $8:1$

Q.

How many cubes of side 3 cms each can be cut from wooden block in the form of a cuboid whose length, breadth and height are 24 cm, 12 cm and 9 cm respectively?

1. 96
2. 69
3. 45
4. 89

Q. The perimeter of face of a cube is 20 cm. Find the volume of cube.

1. $125{\text{cm}}^3$
2. $120{\text{cm}}^3$
3. $135{\text{cm}}^3$
4. $145{\text{cm}}^3$

Q. The surface area of a cube is $384{\text{cm}}^2$. Find its volume.

1. $512{\text{cm}}^3$
2. $456{\text{cm}}^3$
3. $364{\text{cm}}^3$
4. $556{\text{cm}}^3$

Q.

How many bricks of 25cm by 20cm by 12cm are required to build a wall 3m long, 3m high and 30cm thick?

Q.

The volume of a cubical box is 13824 cm ³ . Find the length of the side of the box .

Q. Questions and their alternative answers are given. Choose the correct alternative answer.
(1) Find the circumference of a circle whose area is 1386 cm².
(A) 132 cm²
(B) 132 cm
(C) 42 cm
(D) 21 cm²
(2) The side of a cube is 4 m . If it is doubled, how many times will be the volume of the new cube, as compared with the original cube?
(A) Two times
(B) Three times
(C) Four times
(D) Eight times

Q.

A rectangular paper of width 42 cm is rolled along its length and a cylinder of radius 20 cm is formed. Find the volume of the cylinder.

1. 50 Litres

2. 52.8 Litres

3. 60 Litres

4. 25 Litres

Q.

If the volume of two cubes are in the ratio $27:1$, the ratio of their edges is :

1. $3:1$

2. $27:1$

3. $1:3$

4. $1:27$

Q. Two cube each of side 6cm are joined together name the new solid formed and also find its volume

Q.

A solid metallic cuboid of dimensions $10cm\times 5cm\times 3cm$ is melted and cast into a box, of thickness $0.5$ cm without lid. If the outer measurements of the base are $12cm\times 5cm$. find the height of the box.

Q. A cube of edge ‘k’ is divided into ‘n’ equal cubes. Determine the edge of the new cube.

1. $\sqrt{nk}$
2. $\frac{k}{\sqrt[3]{3n}}$
3. $\sqrt[3]{3n}$
4. $\frac{\sqrt[3]{3n}}{k}$

Q. The perimeter of a cube is 60 cm. Its volume will be _________.

1. $125c{m}^3$
2. $115c{m}^3$
3. $100c{m}^3$
4. $118c{m}^3$

Q. Find the edge of a cube of volume 10.648 M cuboid

Q.

A closed cuboid water tank is made of steel sheet that is $2.5cm$ thick. The outer dimensions of the tank are $2.15m,$ $1.5m$ and $1.1m.$ Find the total surface of the cuboidal tank.

1. $14.48c{m}^2$
2. $16.36c{m}^2$
3. $15.12c{m}^2$
4. $13.86c{m}^2$

Q.

The smallest surface area of a cuboid made up of $12.1c{m}^3$ will be?

Q. There is a big cubical box of edge 22 cm. There are small sweet boxes in the shape of cubes of edge 2 cm which are to be packed in the box, so that no space is left. Find how many sweet boxes can be packed in the big cubical box?

1. 1331
2. 1231
3. 1131
4. 1334

Q.

How many cubes of edge 1/3cm are required to build a cube of side 4cm

Q. A small cubical box is considered as 2 units. Can you find the number of cubical box present in a large one if it is considered as 2 raised to power 4.

Q. Three cubes of metal whose edges are 6 cm, 8 cm and 10 cm respectively are melted to form a single cube. The edge of the new cube is:

Q.

Barkha purchase and ice box in which age does not melt before 6 hours the dimension of the box was 20 CM x 10 cm x 5 cm how many eyes cuboids of length 2 cm breadth 2 cm and height 1 cm can she keep in the ice box

Q. Calculate the radius (in inches) of the base of a cylindrical container of volume $440{\text{in}}^3$. Height of the cylindrical container is 35 inches. $(\text{Take}\pi =\frac{22}{7})$

1. $3$
2. $5$
3. $2$
4. $4$

Q.

The perimeter of one face of a cube is 20 cm. Its volume will be _________.

1. $125c{m}^3$

2. $400c{m}^3$

3. $250c{m}^3$

4. $625c{m}^3$

Q.

Two cubes of edges 12 cm each are joined edge to edge. The volume of the new solid is:

1. 1860 cubic cm

2. 3145 cubic cm

3. 3456 cubic cm

4. 3208 cubic cm

Q. A cuboid is made up of wood. It's outer dimensions are 9, 10 and 11m and inner dimensions are 5, 6 and7m. Find the wood used to made it.
( This question is made by me only so it might become impossible to solve so if the situation comes like this then you can do changes)

Q. A cube of edge ‘4k’ is divided into ‘n’ equal cubes. Find the edge of the new cube.

1. $\frac{\sqrt[3]{3n}}{k}$
2. $\sqrt[3]{3n}$
3. $\frac{4k}{\sqrt[3]{3n}}$
4. $\sqrt{nk}$