A solid cube, whose each edge is of length 48 cm, is melted. Identical solid cubes, each of volume 64 cm³, are made out of this molten cube, without any wastage. How many such small cubes are obtained?

The breadth ‘b’ of a room is twice its height and half of its length. Find the length of the longest diagonal of the room.

The ratio of the length, width, and height of a closed cuboid is given as 6 : 3 : 2. The total surface area of this cuboid is given as 1800 cm². Find the volume (in cm³) of this cuboid.

If radius of a sphere is decreased by 48%, then by what percent does its surface area decrease?

The length of the largest possible rod that can be placed in a cubical room is 42√3m. The surface area (in m²) of the largest possible sphere that fit within the cubical room is:  [Use π =22/7]

The volume of a cube is four times the volume of a cuboid. If the sides of the cuboid are 32 cm, 8 cm and 4 cm, then find the ratio of the total surface area of the cube to that of the cuboid.

The sides of a cuboid are in the ratio 3 : 4 : 5 and its surface area is equal to the surface area of the cube with side 6 units. What is the approximate volume of the cuboid?

The surface area of a cube is 486 cm². Find the volume.

The length of the longest rod that can be placed in a cubical room is 50√3 cm. What is the volume of the cube?

The length of each side of a cube is 24 cm. The volume of the cube is equal to the volume of a cuboid. If the breadth and the height of the cuboid are 32 cm and 12 cm, respectively, then what will be the length of the cuboid?

The length, the breadth, and the height of a cuboidal room are given as 80 m, 70m, and 80 m, respectively. What will be the total cost of painting the four walls of this room, at the rate of 50 paise per square metre?

What will be the length of the longest diagonal of the cuboid having a length of 13 cm width of 11 cm and a height of 20 cm?

Find the length of the diagonal of a closed cube 'whose total surface area is 96m^2.

Two cubes, each having a total surface area of 150 cm², are joined together to form a cuboid. Find the total surface area of the resulting cuboid.

If the base radius and the height of a right circular cone are increased by 10%, then the percentage increase in the volume is:

The diameter of a sphere is increased by 30%. What is the percentage increase in its volume?

The difference between the total surface area and the lateral surface area of a cube of side 12 cm is:

A hollow cube is made of paper and has a volume of 512 cubic units. How much paper in square units will be required to make the cube?

The sides of the three cubes of metal are 15 cm, 18 cm, and 25 cm, respectively. Find the side (in cm) of the new cube formed by melting these cubes together.

The length, breadth, and height of a room are 7 m, 5 m, and 3m, respectively. Find the cost of whitewashing the walls of the room and the ceiling at the rate of Rs. 16 per m²

A right rectangular box’s measurement are 1.6 m long, 90 cm wide, 60 cm in height. Soap cakes of measurement 6 cm × 5 cm × 40 mm are to be packed in the box, so that no space is left. How many cakes can be packed in the box?

A cube of side 5 cm, has been assembled using 125 cubes each of 1 cm edge. One cube is removed from the middle of each of the faces of the cube. What is the surface area (in cm²) of the remaining solid?

The length, breadth and height of a cuboid are in the ratio 1: 2: 3. The length, breadth and height of the cuboid are increased by 200%, 300% and 300%, respectively. Then, compared to the original volume, the increase in the volume of the cuboid will be:

The volume of a cuboid is twice that of a cube. If the dimensions of the cuboid are (8 m x 8 m x16 m), the total surface area of the cube is:

Find the total surface area (in cm²) of a cuboid having dimensions 5 cm, 7 cm and 11cm.

If the surface area of a cube is 5046 cm², then the volume of the cube is:

Three cubes with sides in the ratio of 3 : 4 : 5 are melted to form a single cube whose diagonal is 18√3 cm. The sides of the three cubes are:

What is the volume of a cube if the perimeter of one face of the cube is 40 cm?

If the total surface area of a cube is 24 square units, then what is the volume of the cube?

A cube of side 12 cm is painted green on all the faces and then cut into smaller cubes of sides 2 cm each. Find the number of smaller cubes that have only one face painted.

A cube of side 18 cm is painted yellow on all the faces and then cut into smaller cubes of sides 3 cm each. Find the number of smaller cubes that have only two faces painted.

Deepak ordered a pizza of radius 10 cm from Zomato. But due to some problem, Zomato replaced his 10 cm radius pizza with 8 cm radius pizza. Find the percentage change in the area of the pizza.

The total surface area of a cube is equal to the total surface area of a cuboid. The ratio of the sides of the cuboid is 4 : 5 : 6 and its volume is 3240 cm³ then what is the approximate length of the side of cube?

A cuboid has the same surface area as that of a cube with length [2√33] cm. If the height of the cuboid is 8 cm and the product of length and breadth is 180, then find the sum of the length and breadth of the cuboid.

The total surface area of a cube is 600 cm². Find the maximum length of a rod placed inside it.

What is the total surface area of a cuboid with dimensions 80 cm × 60 cm × 50 cm (in cm)?

The total surface area of a cube of side 15 cm is equal to the total surface area of a cuboid of height 9 cm and breadth 5 cm. Calculate the volume of the cuboid.

There is a cube having a length of 10 cm and a cuboid having a length of 10 cm width of 6 cm and a height of 4 cm. Find the difference in the total surface area of the cube and cuboid.

The volume of a cube is 216 meter³ and there is a cuboid with of the same volume. The length of cube is double of the height of cuboid and ratio of length of cube to length of cuboid is 3 : 2. What is the ratio of length of cuboid to breadth of the cuboid?

The breadth of a cuboid is 10 cm, and length and height are given as L × H = 35 and L + H = 12. (length is greater than height)

Statement (I): Length = 7 cm

Statement (II): Volume = 350 cm³

Statement (III):  C.S.A = 175 cm²

The volume of a cube is given as 64 m³. There is cuboid of same length as cube and the breadth of cuboid is twice the height of cuboid. The surface area of cuboid is same as volume of cube. What is the height of cuboid?

If the curved surface area of a cuboid is 128 cm² and the height of the cuboid is 8 cm, length and breadth of the cuboid are equal. Find the volume of the cuboid.

The length, width and the height of the cuboid is 61 cm, 6 cm, and 2 cm. If the ratio of the surface area of a cuboid and volume of a cube is 1 : 1, then what is the length of the cube?

If it requires 100 gm paint for painting a door 15 cm × 10 cm, how much paint is required for painting a 5 cm × 6 cm? 

A large sheet of square paper of the side 24 cm is folded to make a cube then find the volume of that cube.

The dimension of the cuboid is 12 × 5 × 8 cm³. The cuboid is cut into parts and a cube (side = 2 cm) is formed from it and the cube is arranged in a row, find the length of the row?

The total surface area of a cube is 864 cm². The values of length, width, and height of the cuboid are consecutive numbers and their average is equal to the side of the cube. What is the total surface area of the cuboid?

If the height of both cubes (Cube 1 and Cube 2) is the same, what is the approximate height of the cubes? (in cm)

Qazi Technology decided to recycle the 5000 discarded cuboidal cellphones. They invented a technology with the help of scientist Ajeet that all the volume of old cellphones can be used to make new cellphones. The dimensions of the old cellphone were 140dm, 60dm, and 2.5dm then how many new cuboidal cellphones of dimensions 160dm, 75dm, and 2dm can be made?

Lalit a gift shop owner wants to get some of his old unsold gift boxes painted so that they may get a new look. The boxes are made of metal and are cubical shaped such that on every face of the box there is a circular cut design with a radius of 10% of the length of the edge of the cube. If the length of each edge of the box is 28 cm, find expenditure of Lalit on getting painted 6 such boxes at the rate of Rs. 2/cm2.(Approx)