Volume of a cube

Q. How many bricks each 25cm by 15cm by 8cm , are required for a wall 32m long, 3m high and 40cm is thick?

1. 13800
2. 12700
3. 12800
4. 13700

Q.

Find the surface area of a cube whose volume is $216c{m}^3$.

1. $216c{m}^3$
2. $362c{m}^2$
3. $216c{m}^2$
4. $362c{m}^3$

Q.

What is the surface area of a solid cube whose side is 4 inches?

1. 74 sq inches

2. 88 sq inches

3. 96 sq inches

4. 70 sq inches

Q. If a square sheet with side 2π units is rolled into a cylinder along one of its sides, the volume of the cylinder so obtained will be _____ cubic units.

Q.

If a brick has length, breadth and height in the ratio 1 : 2 : 3 and the total surface area of the brick is 792 ${\text{m}}^2$, then the volume of the brick is _______.

1. $1,296{\text{m}}^3$

2. $1,396{\text{m}}^3$

3. $1,496{\text{m}}^3$

4. $1,596{\text{m}}^3$

Q. What is the surface area of a cube whose volume is 64 ${cm}^3$?

1. 16 ${cm}^2$
2. 64 ${cm}^2$
3. 128 ${cm}^2$
4. 96 ${cm}^2$

Q. The dimensions of a solid metal cuboid are $72cm\times 30cm\times 75cm.$ it is metaled and recast into identical solid metal cubes with edge of each $6$ cm. Find the number of cubes formed.
Also, find the cost of polishing the surface of all the cubes formed at the rate Rs. $150$ per sq. m.

1. $427$ ; Rs. $2,430$
2. $830$ ; Rs. $2,430$
3. $571$ ; Rs. $2,430$
4. $750$ ; Rs. $2,430$

Q. The volume of a cube is $64$ cubic inches. What is its surface area?

1. $84$ square inches
2. $94$ square inches
3. $96$ square inches
4. $98$ square inches

Q. $A,B,C$ denote the areas of three co-terminus faces of a cuboid. If $P$ and $S$ denote the product and sum of dimensions of the cuboid respectively, which one of the following is correct?

1. $PS=A^2+B^2+C^2$
2. $PS=AB+BC+CA$
3. $P=S(A+B+C)$
4. $SP=(A+B+C){}^2$

Q. The Total Surface Area of a cube in $c{m}^2$ is equal to the volume of the cube in $c{m}^3$ The edge of the cube is____ (in cm)

1. 3
2. 4
3. 5
4. 6

Q.

How many 4-inch quilt blocks do you need to complete a 36-inch row?

1. 9 Blocks

2. 8 Blocks

3. 5 Blocks

4. 6 Blocks

Q. How many small cubes, each of $96c{m}^2$ surface area can be formed from the material obtained by melting a larger cube of $384c{m}^2$ surface area ?

1. $8$
2. $5$
3. $800$
4. $80$

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.

1. $1024{\text{m}}^3$

2. $848{\text{m}}^3$
3. $1184{\text{m}}^3$
4. $988{\text{m}}^3$

Q. How many solid cubes of 3 cm edge can be cut out of a solid cube of 18 cm edge?

1. 36
2. 232
3. 216
4. 484

Q. Find the volume of a cube of side 10 units.

1. 100 cubic units
2. 1000 cubic units
3. 10 cubic units
4. 10000 cubic units

Q.

The volume of a 4 inches wide and 3 inches high box is 36 cubic inches, what is its length?

1. 3 Inches

2. 4 Inches

3. 9 Inches

4. 2 Inches

Q. Half cubic metre of gold-sheet is extended by hammering so as to cover an area of $1$ hectare. Find the thickness of the gold-sheet.