Find the volume of the solid shown or described. If necessary round to the nearest tenth. What is the volume of the shed?

Volume of shed = 38 m³

Step-by-step explanation:

Given:

Length = 5 m

Width = 2 m

Height of wall = 3 m

Height of triangular shed = 1.6 m

Find:

Volume of shed

Computation:

Volume of shed = Volume of walls + Volume of triangular shed

Volume of shed = [lbh] + [1/2][Base area]h

Volume of shed = [(5)(2)(3)] + [1/2][(5)(2)]1.6

Volume of shed = [30] + [8]

Volume of shed = 38 m³

To obtain the quadratic equation for the data set given, i have used excel spread sheet, this is shown in the attachment below. the equation is: y=-0.4931x²+23.38x+996.03b]the density of the sample at depth of 20 m will be : f(20)=-0.4931(20)²+23.38(20)+996.03f(20)=1266.39