A solid rectangular block has a square base with side (√3-√2)m The volume of the block is (3√18-7√3)mcube The - Maths - Surface Areas and Volumes

Question

A solid rectangular block has a square base with side
(√3-√2)m The volume of the block is
(3√18-7√3)mcube The height of the block in the form
(a√2+b√3)m, where a and b are integers

Rahul Swain · Answer

it will be a cube so sides are equal
so,root3-root2=aroot2+broot3
comparing both sides
so a=-1 and b=1

A solid rectangular block has a square base with side (√3-√2)m.The volume of the block is (3√18-7√3)mcube .The height of the block in the form (a√2+b√3)m, where a and b are integers.