Answer:
The answer is number 4. 21.3 cm
Step-by-step explanation:
In the picture you can see the draw of the triangle and the formula of the Pythagorean Theorem.
We substitute the values in the Pythagorean Theorem
c² = a² + b²
We clear the equation for b
b² = c² - a²
b² = (24)² - (11)²
b² = 576 - 121
b² = 455
√b² = √455
b = 22.3 cm
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 =
Volume of half cylinder =
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.