Cuboid and Cube

The edge of a cube is increased by $100\%$. The surface area of the cube is increased by-

One cubic metre piece of copper is melted and recast limsquare cross-section bar,$36 \mathrm{m}$ long. An exact cube is cut off from this bar. If cubic metre of copper cost $108$, then the cost of this cube is :

A cube of maximum possible volume is cut from the solid right circular cylinder. What is the ratio of volume of cube to that of cylinder if the edge of a cube is equal to the height of the cylinder?

Which of the following pairs is not correctly matched ?

The volume of a wall, $3$times as high as it is broad and 8 times as long as it is high, is $36.864{ \mathrm{m}}^3$. The height of the wall is:

Raju has $64$small cubes of $1{ \mathrm{cm}}^3$. He wants to arrange all of them in a cuboidal shape, such that the surface area will be minimum. What is the diagonal of this larger cuboid?

The elder son of a carpenter picked up a solid wooden cube from his garage and then he removed a few cubical blocks from it so that he can sit on it with his friends comfortably and watch the football match in his house. If the volume of the original cube is $216$ cubic ft. and the volume of each smaller cubic solid that has been removed is $8$ cubic ft, what is the surface area (in cu. ft.) of the remaining solid?

There are six faces in a cube. Rajeev fixes one cube on each of the faces. The dimensions of all the cubes are same. What is the ratio of total surface area of the newly formed solid to the area of a single cube?

If the area of the three adjacent faces of a cuboid are $x, y$ and $z$ respectively, then the volume of the cuboid is

When each side of a cube was increased by $2 \text{cm}$, the volume increased by $1016 {\text{cm}}^3$. Find the side of cube. If each side is decreased by $2 \text{cm}$, by how much will the volume decrease?

Three equal cubes are placed adjacently in a row. The ratio of the total surface area of the resulting cuboid to that of the sum of the surface areas of three cubes, is

$3$ cubes whose edges are $3 cm, 4 cm$ and $5 cm$ respectively are melted to form a single cube. The surface area of the new cube will be?

250 men took a dip in a sacred tank which is 80 m × 50 m. What was the rise in the water level if the average displacement of one man is 4 m³?