SOLUTION: Please help me solve these with proper steps: 1.) the dimensions of a cuboid are 40cm x 20cm x 80cm.find the length of a cube (edge) which has the same volume. 2.) the volume

Question 825040: Please help me solve these with proper steps:
1.) the dimensions of a cuboid are 40cm x 20cm x 80cm.find the length of a cube (edge) which has the same volume.
2.) the volume of a cube is 343 cubic cm.find its total surface area.
3.)how many buckets of capacity 15 litres can be filled from a tank 4m long,2m broad,1.2m high,full of water?
4.) a solid cylinder total surface area of 462 square cm.its curved surface area/lateral surface area is one third of its total surface area.find the volume.
Thank you.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
1)

A cube of edge length has the same volume as the 40cm x 20cm x 80cm cuboid.

2) so a cube with a volume of 343 cubic cm has an edge length of 7 cm.
Each face will have a surface area of
square cm,
and the total surface area of all 6 faces of the cube will be

.

3) the volume of the tank, in cubic meters, is

A cubic meter is 1000 cubic decimeters, or 1000 liters.
A tank containing can fill a bucket

4) For a cylinder,

the remaining

is the area of both bases.
The area of each base is

(rounded)
so
Going back to the lateral area, and substituting for in
we get

(rounded)
So, (approximately).
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