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?

A hollow cube has an edge of 4 cm and a thickness of 2 cm. What is the total cost (in Rs.) of the material required to make 25 such cubes, if the rate of material is Rs. 1.8 per cm³?

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.

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.

A hollow cube has an edge of 4 cm and a thickness of 2 cm. What is the total cost (in Rs.) of the material required to make 25 such cubes, if the rate of material is Rs. 1.8 per cm³?

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?

A cuboidal block of wood is 18 cm long, 8 cm broad and 7 cm in height. From it, small wooden cubes of volume 9 cm³ each are to be made. Find the total surface area of all the cubes that can be made from the block (in cm²).

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 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.

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.

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.

A wall of 12m x 8 m has a door of 3 m x 1.5 m and two windows, each of 1.5 m x 1.5 m. Find the area of the wall that can be painted:

If the brick size is 25 cm × 12 cm × 9 cm, then how many bricks are required to construct a wall of length 10 m, breadth 22.5 cm, and height 6 m?

If the areas of three adjacent faces of a cuboidal box are 729 cm², 529 cm², and 289 cm², respectively, then find the volume of the box.

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 wall 12 m long, 9 m high and 90 cm thick is to be constructed. Given that one pack contains 450 bricks, how many packs of bricks will be required if each brick is of dimensions 10 cm x 7.5 cm x 7 cm and the cement and sand mixture occupies one-eighteenth volume of the wall? (Rounded off to the nearest integer)

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.

If each side of a cube is decreased by 12%, then the percentage decrease in its surface area 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.

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

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?

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 length, breadth, and height of a cuboid are in the ratio of 3 : 4 : 5. If the volume of the cuboid is 1620 m³, find the total surface area of the cuboid.

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

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.

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.

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

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?

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

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

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

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

A metallic cube has each of its side of length 12 cm. It is melted and recast into three small cubes. Out of these cubes, two have their sides as 6 cm and 8 cm, respectively. The length of each side of the third cube is:

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?

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

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 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?

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 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:

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.

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?

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:

If the areas of three adjacent faces of a cuboidal box are 729 cm², 529 cm², and 28,9 cm², respectively, then find the volume of the box.

The length, breadth, and height of a cuboid are in the ratio of 3 : 4 : 5. If the volume of the cuboid is 1620 m³, find the total surface area of the cuboid.

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

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?

If the length and the height of a cuboid are 18 m and 12 m respectively, and its volume is 3024 m³, then find its breadth (in m).

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