Find the volume of a pyramid with a square base, where the area of the base is 17

ft

2

17 ft

2

and the height of the pyramid is

20.1

ft

20.1 ft. Round your answer to the nearest tenth of a cubic foot.

113.9 ft³

Step-by-step explanation:

==>Given:

Base area of square pyramid (B) = 17 ft²

Height of pyramid (h) = 20.1 ft

==>Required:

Volume of the square pyramid (V)

==>Solution:

Using the formula ⅓*B*h, let's find the volume of the pyramid as follows by plugging in our values:

V = ⅓*17*20.1

V = 341.7/3

V= 113.9 ft³

Volume of the square pyramid = 113.9 ft³

3.92 approximately 4

Step-by-step explanation:

let us first find angle at F

40⁰+50⁰+F= 180 (sum of angles in a triangle)

90⁰+F= 180⁰

F= 180⁰-90⁰

F = 90⁰

using sine rule

3/sin 50 = x/sin 90

3/0.7660= x/ 1

0.7660x=3

x= 3/0.7660

x= 3.92 approximately 4