If the length, breadth, and total surface area of a cuboid are 30 cm, 20 cm, and 2600 cm², respectively, then find its height.

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

An article is of size 9 cm × 6 cm × 3 cm. The number of such articles that can be packed in a box measuring 63 cm × 42 cm × 21 cm is:

Find the surface area (in cm²) of a cardboard box in the shape of a cuboid whose length is 60 cm, breadth is half its length and height is one-third of its breadth.

The total surface area of a closed cube is given as 1152 cm². What is the length (in cm) of each side of the cube?

If the radius of a sphere is increased by 5%, then by what percentage will the surface area of the sphere increase?

If each edge of a cube is increased by \(33\dfrac{1}{3}\%\), find the percentage increase in Its surface area.

A circular shape disk is cut from each face of the cube of side 16 cm long. Find the remaining surface area of the cube if the radius of the circle is 7cm.

The cuboid of length, breadth, and height is 25 × 18 × 21 (in cm) and is open at the top. 6300 cm³ water is filled in that cuboid. What percent of the cuboid is filled?

Rectangular cardboard of area 20cm × 8cm is to be painted on both sides. If the cost of painting 1cm² area is Rs.5 then what is the cost of painting the cardboard?

The length, breadth, and height of a cuboid are three consecutive natural numbers. If the sum of the length, breadth, and height is 15 cm then, what is the volume of the cuboid(in cm³)?

A cube of volume 10648 cm³ is divided into 1331 smaller cubes. What is the increase in the surface area due to this operation?

A box of dimensions 36 × 9 × h is melted into two different cubic boxes such that the volume of the larger box is 8 times that of the smaller box. If the surface area of ​​the smaller cubic box is 216 cm², find the value of h.

Diagonal of a cube is 7√3 cm. Find the total surface area (in cm²) of the cube.

The length and breadth of the cuboid are 20 cm and 30 cm, respectively, and the surface area of the cuboid is 1700 cm². What is the height of the cuboid?

If the edge of the cubical room is 24 m and the cost of painting is Rs. 46/m² then what will be the total cost of painting the curved surface area of the cubical room?

The dimension of the floor of a room is 6 m × 4 m and the height of the room is 3 m. What is the cost of painting the walls of the room at Rs 320/m²?

A box of dimensions 36 × 9 × h is melted into two different cubic boxes such that the volume of the larger box is 8 times that of the smaller box. If the surface area of ​​the smaller cubic box is 216 cm², find the value of h.

Bread is of cuboidal shape of dimensions 9.6 cm × 7.2 cm × 2 cm (l × b × h). It is cut along the diagonal of the larger face into two triangles. Find the area of the new faces of bread formed after slicing into two pieces.

A solid metallic cube having surface area of 54 cm² is melted to form smaller cubes of surface area \(\frac{8}{12}\) cm² each. Find the number of smaller cubes.

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, 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?

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

If the edge of the cubical room is 24 m and the cost of painting is Rs. 46/m² then what will be the total cost of painting the curved surface area of the cubical room?

If a cube of 15 cm side is divided into smaller cubes of 3 cm side, then how many smaller cubes will be formed?

A sphere of a radius of 10 cm is cut into two pieces. Find the percentage increase in total surface area.

If the diagonal of the cube is 2√12 then find the ratio of its volume to its total surface area.

The internal dimension of the open wooden box is 12 cm × 10 cm × 8 cm and the thickness of the wood is 2 cm. Find the external volume of the box.

The length, breadth and height of the room are 15 metres, 18 metres, and 24 metres respectively. What will be the length of the largest rod that can be placed in that room?

A pond is 50 m long, 35 m wide and 2.5 m deep. Find the capacity of the pond.

The sum of the length, breadth, and height of a cuboid box is 20 cm and the total surface area of cuboid is 256 sq. cm. What is the maximum length (in approximate) of a stick that can be placed inside the cuboid box?

A solid cuboid is melted to form a number of cubes. If the length, breadth and height of a cuboid are 20 cm, 16 cm and 8 cm, and the edge of each cube is 4 cm, then the number of cubes is:

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.

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

The ratio of the length and breadth of a rectangle is 5 : 2 and the area of the rectangle is 40 cm². If a cuboid has the same length and breadth as the rectangle and the height is 7 cm, then find the lateral surface area of the cuboid.

The dimension of the floor of a room is 6 m × 4 m and the height of the room is 3 m. What is the cost of painting the walls of the room at Rs 320/m²?

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 × 8 m × 16 m), the total surface area of the cube is:

If a cube of 15 cm side is divided into smaller cubes of 3 cm side, then how many smaller cubes will be formed?

The total surface area of a cube is 8712 cm². What is the length of its biggest diagonal (in cm)?

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 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.

If the radius of a sphere is doubled, then its surface area will be increased by:

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

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

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?

Diagonal of a cube is 7√3 cm. Find the total surface area (in cm²) of the cube.

The ratio of the length and breadth of a rectangle is 5 : 2 and the area of the rectangle is 40 cm2. If a cuboid has the same length and breadth as the rectangle and the height is 7 cm, then find the lateral surface area of the cuboid.

The total surface area of a cube is equal to the area of the bottom of a cuboid. If the volume of the cuboid is 1080 cm³ and height is 9 cm then find the length of a side of the cube.