1) What must be the side of an equilateral triangle so that its area should be equal to the area of an isosceles triangle with base 12m and equal sides 10m. 2) Find the length of the longest pole that can be placed in a room 12m long, 8m wide, 9m high.
3) Given that on cubic cm of marble weighs 25grams and the weight of a marble block 28cm in width and 5cm thick is 112kg. Calculate the length of the block.
4) The dimensions of an open box are 50cm, 40cm and 23cm. Its thickness is 3cm. If 1 cubic cm of metal used in the box weighs 0.5 grams, find the weight of the box.
5) Two metallic right circular cones with heights 4.1cm and 4.3cm and base radii 2.1cm, are melted together and recast into a sphere. Find the diameter of the sphere.