CUBE AND CUBOID
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1) A pit 7.5 metre long, 6 metres wide and 1.5m deep is a dug in a field in a field. find the volume of soil removed. 67.5m³
2) Find the length of the longest pole that can be placed in an Indoor Stadium 24 metre long. 18 metre wide and 16m high. 34m
3) The Length, breadth and the height of a room are in the ratio of 3:2:1. If volume be 1296m³, find its breadth. 12m
4) The whole surface of a rectangular block is 8788 square cm. If Length, breadth and height are in the ratio of 4:3:2, find its length. 52cm
5) Three metal cubes with edges 6cm, 8cm and 10cm respectively are melted together and formed into a single cube. Find the side of the resulting cube. 12cm
6) Find the number of bricks, each measuring 25cm x 12.5cm x 7.5cm, required to construct a wall 12m long, 5m high and 0.25m thick, while the sand and cement mixture occupies 5% of the total volume of wall. 6080
7) Seven equal cubes each of side 5cm are joined end to end. Find the surface area of the resulting cuboid. 750cm²
8) In a swimming pool measuring 90m by 40m, 150 men take a dip. If the average displacement of water by a man is 8 cubic metres, what will be the rise in water level?
33.33cm
9) A closed wooden box measures externally 10cm long, 8 cm broad and 6cm high. Thickness of wood is 0.5 cm. find the volume of wood used. 165
10) A cuboid of dimension 24cm x 9cm x 8cm is melted and smaller cubes are of side 3cm is formed. Find how many such cubes can be formed? 64
11) Three cubes each of volume of 216m³ are joined end to end. find the surface area of the resulting figure. 504m²
12) The area of of three adjacent faces of a cuboid are are x,y, z. if the volume is V, then V² will be equals to. xyz
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