There are five similar solid wooden logs of base dimensions 10 cm × 6 cm and a height of 4 cm. The logs are attached one above the other to attain the minimum possible height. What is the total surface area (in cm²) of the cuboid thus obtained?

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.

If the ratio of length, breadth, and height of a cuboid is 5 : 3 : 4 respectively and the volume is 60000 cm³, then find the length, breadth, and height of the cuboid.

There is a rectangular carton box for packing gifts, the base of the box is square in shape, the height is 24 cm and the volume of the box is 3456 cm³. It was later realized that larger boxes were not needed, so they cut the height of the box to cubical size and reduced its volume to 1728 cm³. Find the height of the new box.

The cost of painting the outer portion of a cuboidal box which is open at the top at the rate of Rs. 2.5/m² is Rs. 570. If the length of the box is 20% more than its breadth and the height of the box is 50% more than its length, then find the cost of painting the only curved surface of the box at the same rate.

What is the length (in cm) of each side of a cube if the volume of a cube is 13,824 cm³?

If the total surface area of a cube is 3456 cm² , then its lateral surface area is:

Find the surface area (in m²) of a cuboid that is 11 m long, 7 m broad and 4 m high.

How many cubes of side 8 cm can be formed by melting a cuboid of length 24 cm, breadth 16 cm and height 16 cm?

The ratio of the length, the breadth, and the height of a solid cuboid is given as 3 : 2 : 1, and the breadth of this cuboid is given as 12 cm. Find the volume (in cm³ ) of the cuboid

Find the percentage increase in the surface area of a cube by tripling each side.

If the radius of a sphere is increased by 11%, then what is the percentage (correct to two decimal places) increase in its volume?

The volumes of two cubes are in the ratio of 8 : 27. If the volume of the larger cube is 513 cm³ more than that of the smaller cube, find the length of each side of the smaller cube.

Find the volume of a rectangular box whose dimensions are 2 m, 3 m, and 4 m.

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?

A cuboid of length 18 m, breadth 12 m, and height 8 m is melted and recast into a cube. Find the length of the diagonal of the cube.

If the side of a cube is 3, which of the following options is equal to the ratio between the surface area and the volume of the cube?

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

Find the length of longest stick (in cm) that can be fit inside a cube of side √2 cm.

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?

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

How many cubes of side 8 cm can be formed by melting a cuboid of length 24 cm, breadth 16 cm and height 16 cm?

The length, breadth, and height of a cuboid are 25 m, 15 m, and 10 m respectively. Find the total surface area of ​​the cuboid and the maximum length of a stick that can be placed inside.

If the volume of a cube is 729 cm³, then find the total surface area of the cube.

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 cuboid with sides 4, 6 and 8 units is covered with paper. The paper is removed, and a square is made from it. What is the side (in units) of the square?

The area of the four walls of a room is 216 m². If the length and height of the room are in the ratio of 5 : 2 and the breadth and height in the ratio 5 : 4, then the area of the floor of the room will be ______.

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.

A covered wooden box has the inner measures as 128 cm, 90 cm, 25 cm and the thickness of wood is 5.5 cm. Find the volume of the wood.

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 length, breadth, and height of a room are 10 m, 8 m, and 6 m respectively. Find the cost of whitewashing the walls of the room and the ceiling at the rate of Rs. 7.50 per m².

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 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?

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

If the cuboid whose length, breadth, and height are 12 cm, 17cm, and 23 cm respectively, and a circle with a radius 14.7 cm then, find the ratio of the volume of the cuboid to the volume of the circle.

The length, breadth, and height of a cuboid are 25 m, 15 m, and 10 m respectively. Find the total surface area of ​​the cuboid and what is the maximum length of a stick that can be placed inside?

A cube of side 8 cm is cut into some cubes of side 2 cm. Calculate the total surface area of all the small cubes.

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

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?

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 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 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 cube has an edge length of 7 cm. One of the sides is painted green and the other sides are painted blue. Find the area of the sides painted blue. 

Find the area of the ceiling and the floor of the cubical room with a length of wall 12 m.

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?

If the side of a cube is 3, which of the following options is equal to the ratio between the surface area and the volume of the cube?

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 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)?

How many cubes of volume 16 cm³ can be made from a cuboid of volume 40 m³?