Question

A rectangular solid has base
area of
40cm square if its total
surface area is 262cm square
and volume is280 cm cube. Find
its length, height, breadth.​

Answer 1

Answer:

Given: Each side of the square base of the solid =4 metres

∴ Area of the square base =4

2

=16 cm

2

Volume of the solid = Area of the square base × height

Given : Volume of the solid =112 cm

2

∴112=16×height

⟹height=

16

112

=7 cm

∴ height of the solid cylinder =7 cm

Surface area of the solid =2(lb+bh+lh), where,

l= length of the base of solid,

b= breadth of the base of the solid

h= height of the solid

∴ Surface area of the solid =2(4×4+4×7+4×7)

=2(16+28+28)

=144m

2