Sarvesh K Verma Solutions for Chapter: Mensuration, Exercise 5: Introductory Exercise

$3$ 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?

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

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

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:

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