Question

What type of figure is shown above?

Answer 1

See below

Explanation:

This is a triangular prism:

h = Perpendicular height of prism

Base shape = Triangle

t = Perpendicular height of triangle

Volume of triangular prism = Base Area × h

= Area of triangle × h

= [
`(1)/(2)` × Base of triangle × t] × h

= [
`(1)/(2)` × 5 in × 1.7 in] × 10 in

= 42.5 cubic inches

Total Surface Area = [2 × Base Area] + Lateral Surface Area

= [2 × Area of triangle] + [(Perimeter of triangle) × h]

= {2× [
`(1)/(2)` × 5 in × 1.7 in]} + [(5 in + 3 in + 3 in) × 10 in]
= 8.5
`in^(2)` + 110
`in^(2)`

= 118.5 square inches