Question

The cross section of a 6m long piece of metal is shown in the figure.Calculate. 1) Area of the cross section. 2) The volume of a piece of metal in cubic cm.​

Answer 1

Step-by-step explanation:

1) area of rectangle=length × breadth

=6.5×8

=52cm²

sides of triangle = 5cm,5cm and 8 cm

area of isoceles triangle=(b/4)(4a²-b²)^½

=(8/4)(4×5²-8²)^½

=2(100-64)^½

=2×36^½

=2×6

=12 cm²

area of cross section = sum of area of triangle and rectangle

=52+12 =64cm²

2) volume = area of cross section × length

=64cm²× 6m

=64cm²×600cm

=38400cm³