Given:
Width of rectangular prism = 20 ft
height of rectangular prism = 12 ft
Length of rectangular prism = 45 ft
Cylindrical diameter = 20 ft
To find:
Volume of the tent
Solution:
Volume of the rectangular prism = length × width × height
= 45 × 20 × 12
Volume of the rectangular prism = 10800 ft³
Radius of cylinder = 20 ÷ 2 = 10 ft
Height of cylinder = length of rectangular prism
Volume of cylinder =
Volume of half cylinder =
Volume of half cylinder = 7069.5 ft³
Volume of tent = volume of rectangular prism + volume of half cylinder
= 10800 ft³ + 7069.5 ft³
= 17869.5 ft³
= 17869 ft³ (nearest cubic foot)
The volume of the tent is 17869 cubic feet.