find the volume of a tent having the shape of a rectangular solid of length 13 ft, width 12 ft, and heihght 8 ft topped by a rectangular pyramid of the same width and length with height 5 ft

[13 * 12 * 8] + [(1/3) * 13 * 12 * 5 ]

5454

To find the volume of the tent, we can calculate the volume of the rectangular solid and the rectangular pyramid separately, then add them together.

Volume of the rectangular solid:
The volume of a rectangular solid (or a box) is calculated by multiplying its length, width, and height. Therefore, the volume of the rectangular solid is:
Volume of rectangular solid = length × width × height
= 13 ft × 12 ft × 8 ft
= 1,248 ft³

Volume of the rectangular pyramid:
The volume of a rectangular pyramid is calculated by multiplying the base area and the height, then dividing by 3. Since the base of the pyramid is a rectangle, its area is given by length × width. Therefore, the volume of the rectangular pyramid is:
Volume of rectangular pyramid = (length × width × height) / 3
= (13 ft × 12 ft × 5 ft) / 3
= 260 ft³

Finally, to find the total volume of the tent, we add the volumes of the rectangular solid and the rectangular pyramid:
Total volume = Volume of rectangular solid + Volume of rectangular pyramid
= 1,248 ft³ + 260 ft³
= 1,508 ft³

Therefore, the volume of the tent is 1,508 cubic feet.

To find the volume of the tent, we need to find the volumes of the rectangular solid and the rectangular pyramid separately, and then add them together.

The volume of a rectangular solid is calculated by multiplying its length, width, and height. So, for the rectangular solid:

Volume of rectangular solid = length * width * height
= 13 ft * 12 ft * 8 ft
= 1248 ft³

The volume of a rectangular pyramid is calculated by multiplying one-third of the base area by the height. The base area of the pyramid is equal to the length multiplied by the width. So, for the rectangular pyramid:

Volume of rectangular pyramid = (1/3) * base area * height
= (1/3) * (length * width) * height
= (1/3) * (13 ft * 12 ft) * 5 ft
= 260 ft³

Now, to find the total volume of the tent, we add the volume of the rectangular solid and the volume of the rectangular pyramid:

Total volume of the tent = volume of rectangular solid + volume of rectangular pyramid
= 1248 ft³ + 260 ft³
= 1508 ft³

Therefore, the volume of the tent is 1508 ft³.