Answer:
Option (B)
Step-by-step explanation:
Given shed is a composite figure having a rectangular solid at the base and a triangular prism on the top.
Volume of the shed = Volume of the rectangular prism + Volume of the triangular prism
Volume of the rectangular prism = length × width × height
= 5 × 2 × 3
= 30 m³
Volume of the triangular prism = Area of the base × height of the prism
= [tex]\frac{1}{2}(\text{Base})(\text{height of the triangular bsae})[/tex] × height of the prism
= [tex][\frac{1}{2}(5)(1.6)]\times 2[/tex]
= 8 m³
Volume of the shed = volume of the rectangular prism + volume of the triangular prism
= 30 + 8
= 38 m³
Therefore, Option (B) will be the answer.
