Question

The figure shows a solid with a trapezium as its area of cross section. find its
volume
surface area

Answer 1

Answer:

Hey!!!

Area of trapezium= 1/2 × (Sum of parallel sides)× height

Volume of tapezium based 3d= area of trapezium × height

Surface area of trapezium based 3d= 2×Area of trapezium+Area of 4 other faces.

Thus,

Volume= [1/2×(9+6)×4]×8

=[30]×8=240 cubic cm

Total surface area= [2×30]+[8×5]+[6×8]+[6×4]+[9×8]

=60+40+48+24+72

=244 sq. cm

Therefore, the surface area of figure is 244 cm² and volume is 240 cm³.

I hope it helps you ^_^