Find the volume specified. Use 3.14 as the approximate value of x, and round your answer to the nearest tenth.
Find the volume of a tent having the shape of a rectangular solid of length 15 ft, width 13 ft, and height 8 ft topped by a rectangular pyramid of the same width and length with height
6 ft.
The volume of the rectangular solid can be found using the formula V = lwh, where V represents the volume, l represents the length, w represents the width, and h represents the height.
V_rectangle = 15 ft * 13 ft * 8 ft
V_rectangle = 1560 ft³
The volume of the rectangular pyramid can be found using the formula V = (1/3)Bh, where V represents the volume, B represents the area of the base, and h represents the height.
The base of the rectangular pyramid has the same length and width as the rectangular solid, so the area of the base can be found using the formula A = lw.
A_base = 15 ft * 13 ft
A_base = 195 ft²
V_pyramid = (1/3) * 195 ft² * 6 ft
V_pyramid = 390 ft³
The total volume of the tent is the sum of the volumes of the rectangular solid and the rectangular pyramid.
V_total = V_rectangle + V_pyramid
V_total = 1560 ft³ + 390 ft³
V_total = 1950 ft³
Rounded to the nearest tenth, the volume of the tent is approximately 1950 ft³.