University:
Missouri State University
Course:
MTH 460 | College Geometry
Academic year:

2019
Views:

434

Pages:

2
Author:

Trevon Bernard

Geometry/Trig 2 12-3 Applications Name Date Block Directions: Solve each word problem. Show any formulas used and express your answers in the specified form. 1) The container shown has the shape of a rectangular solid. When it is filled with water, the water reaches a height of 20cm (NOTE - this is not the maximum height of the container). After a rock is submerged in the tank, this causes the water level to rise 0.5cm. Find the volume of the rock. 20cm No Pock w/Rock 30cm 45cm V = BH V = BH V Rock = 675CM³ V = (1350)(20cm) V = 13.5(20.5) V = 27000cm V = 27, 6 * 75C * n_{7} ^ 3 2) A cement block has two rectangular holes, which have a length of 12cm and a width of 10cm. Find the weight, to the nearest kilogram, of the cement block shown. Cement weighs 0.0017kg / c * m ^ 3 (Bl*alpha*K)/(V = BH) (H * de * 2)/(V = BH) T Volume V = 800 * 20 V =120.\% V =Y 1 000-4800 v = 2400 x * 2 = 4800 V = 11, 200 V = 16000 40cm 20cm 20cm Weight = 11,200..0017 = 19.04kg / c * m ^ 3 19 kg 3) A model of a house is being constructed out of cardboard. There will need to be a base for the house, but the inside of the house will be completely hollow (the square pyramid will not require a base). If the cardboard costs $0.68 per 100 square centimeters, approximately how much will it cost to construct this model house? 9cm 20cm Hosse A + B LA - ph LA = 96.2 LA = 1926 + 576 =2496 PyrAniniL LA * 1/z * pP LA = 1/2 * 96.15 LA = 720 24cm T Area 3,216 3216/100 * 0.68 = boxed \$21.87 4) Water is pouring into a conical (cone-shaped) reservoir at the rate of 1. overline 8m ^ 3 per minute. Find, to the nearest minute, the number of minutes it will take to fill the reservoir. Use pi = 3.14 5.2m. 6-78 6.8m V = 1/3 * pi * r ^ 2 * h V = 1/3 * pi * (2.6) ^ 2 * 6.28 v = 44.43m ^ 3 44.42 = 24.69 1.8 25 minutes