Answer:
Volume of pentagon = 27.52 yd² (Approx.)
Step-by-step 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.)
