University:
Augusta University
Course:
MATH 4800 | Secondary Mathematics from an Advanced Perspective
Academic year:

2024
Views:

151

Pages:

2
Author:

Autumn Cox

Question 1 Find the length of a rectangular prism having a volume of 2,830.5 cubic meters, width of 18.5 meters, and height of 9 meters. Answer Data: Volume = 2830.5 w = 18.5 h = 9 2: Write the following formula to calculate a prism's volume: volume = lwh. l = (volume) / (wh) substitute values: l = 2830.5/(18.59) Evaluate: length = 17 meters Question 2 The diameter of a regulation basketball hoop is 18 inches. What is the circumference of a regulation basketball hoop? (Use 3.14 for π) Answer r = 18 / 2 = 9 inches c = πr = 9 * 3.14 = 28.26 inches Question 3 How to find the volume of a 3D trapezoid? Answer 1 Firstly, find the area of the trapezidal face A = (1/2)h(b₁ + b₂). Then, multiply it by the length of the entire prism. Answer 2 Area of Trapezium Base: (1/2) * (a + b) * h Volume = Area * Height between trapezium ends Question 4 Determine the volume of a triangular prism not right in which the base has sides of 26 cm, 28 cm and 30 cm. One lateral edge is 52 cm and its Answer The altitude of our prism is √(52² - 20²) = √(13² - 5²) * 4 = 4 * 12 = 48 and the area of the base its Question 5 A regular hexagon is dilated by a scale factor of 4/3 to create a new hexagon. How does the perimeter of the new hexagon compare with the original perimeter? Answer When a figure is dilated by a scale factor of a/b, then the new perimeter is a/b of the original perimeter and the new area is a²/b² of the original area. Therefore, if the hexagon is dilated by a scale factor of 4/3, then the new perimeter is 4/3 of the original perimeter.