Question

2 points

Answer 1

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 = $\pi r^{2} h$

Volume of half cylinder = $\frac{1}{2} \pi r^2h$

                                      $=\frac{1}{2} \times 3.142\times 10^2 \times45$

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.