Question

What is the volume of the shed?

Answer 1

38m^3 after working it all out (took ages lol)

Answer 2

Answer:

38 m^3

Step-by-step explanation:

The shape of the shed is a prism.

volume = area of base * height

The base of the prism is the front face of the shed. The height of the prism is the 2 m distance between the front base and the back base.

area of base = area of rectangle + area of triangle

The front base consists of a rectangle with length 5 m and width 3 m and a triangle with base 5 m and height 1.6 m

area of base = LW + (1/2)bh

area of base = (5 m)(3 m) + (1/2)(5 m)(1.6 m)

area of base = 15 m^2 + 4 m^2

area of base = 19 m^2

height of prism = 2 m

volume = area of base * height

volume = 19 m^2 * 2 m

volume = 38 m^3