A wedding tent is built in the shape of a right rectangular prism topped with a
rectangular pyramid. The dimensions of the prism are 21 ft by 27 ft by 8 ft,
and the height of the pyramid is 2 ft. Find the total volume of the tent. Round
your answer to the nearest tenth if necessary.

Respuesta :

Lanuel

Based on the calculations, the total volume of this wedding tent is equal to 4,914 [tex]ft^3[/tex]

Given the following data:

  • Dimensions of prism (LWH) = 21 ft x 27 ft x 8 ft.
  • Height of pyramid = 2 ft.

How to calculate  the total volume of the tent.

First of all, we would determine the volume of the right rectangular prism by using this formula:

[tex]V=LWH\\\\V=21 \times 27 \times 8\\\\V=4536\;ft^3[/tex]

Also, we would determine the volume of the pyramid by using this formula:

[tex]V=\frac{1}{3} BH\\\\V=\frac{1}{3}\times (21\times 27)\times 2\\\\V=378\;ft^3[/tex]

For the total volume:

Total volume = [tex]4536+378[/tex]

Total volume = 4,914 [tex]ft^3[/tex]

Read more on rectangular prism here: brainly.com/question/3867601