1.
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 4 m, the volume of the box (in cubic m) is:
2.
A small village, having a population of 5000, requires 50 litres of water per head per day. The village has got an overhead tank of measurement 40 m × 25 m × 15 m. For how many days will the water of this tank last?
3.
The surface area of the three coterminus faces of a cuboid are 4, 5 and 5 sq cm respectively. The volume of the cuboid is…(cubic cm)
4.
A boat having a length 5 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
5.
A go-down is in form of a cuboid of a measure 60m×40m×30m. How many cubical boxes can stored in it if the volume of one box is 0.8 cubic m?
6.
The length of the longest pole that can be put in a room of dimensions (10 m × 10 m × 5m) is
7.
Three cubes of metal whose edges are 6 cm, 8 cm and 10 cm respectively are melted to form a single cube. The diagonal of the new cube is 12 cm
8.
How many bricks, each measuring 25 cm x 10 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
9.
A cistern 3 m long and 4 m wide contains water up to a depth of 1 m 20 cm. The total area of the wet surface is:
10.
A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the large cubes and the smaller cube?
