Question

3

Find the volume of the solid. Round answer to the nearest tenths.
4 yd
2 yd
apothem (rounded to nearest tenths) =
Area of the Base (rounded to nearest tenths) =
The volume of the solid =
ya

Answer 1

Volume of pentagon = 27.52 yd² (Approx.)

Explanation:

Given:

Length of base of pentagon = 2 yd

Height of pentagon = 4 yd

Find:

Volume of given figure

Computation:

Volume of given figure = Volume of pentagon

Volume of pentagon = (1/4)(a²)(h)√5(5+2√5)

Volume of pentagon = (1/4)(2²)(4)√5(5+2√5)

Volume of pentagon = (4)√5(5+2√5)

Volume of pentagon = (4)√5[5+2(2.236)]

Volume of pentagon = (4)√5[5+4.472]

Volume of pentagon = (4)√5[9.472]

Volume of pentagon = (4)√47.36

Volume of pentagon = 4[6.8818]

Volume of pentagon = 27.52 yd² (Approx.)