D = RT This is the distance formula. What do the variables represent? D= R= V = lwh This is the formula for volume of a rectangular prism. What do the variables represent? V= l= T= w= Solve the following problems. Be sure to include your units throughout the solution process! 1) D = 525 miles, R = ?, T = 8.5 hours 2) h= Solve the following problems. Be sure to include your units throughout the solution process! 1) V = ?, l = 4 cm, w = 8 cm, h = 12 cm D = ?, R = 55 mph, T = 7.25 hours 2) 3) Mrs. Henry drives 26.6 miles from her home to BHS. It takes her 30 minutes to get to BHS. What is her average speed on the trip? 4) It is 238 miles from Mrs. Henry’s house to her parents’ house. If her average speed on the trip is 60 mph, how long does it take her to get there? V = 77 in.3, l = 14 in., w = ?, h = 11 in. 3) If the volume of a rectangular prism is 44 cubic feet, find the height of it if the length is 4 feet and the width is 2 feet. 4) What is the volume of a rectangular box that is 12 inches long, 6 inches wide, and 3 inches high? V = 𝛑r2h This is the formula for volume of a cylinder. What do the variables represent? V= π= r= h= Solve the following problems. Be sure to include your units throughout the solution process! 1) V = 1256 in3, r = 10 in., h = ? 2) 1 h(b1 + b2) 2 This is the formula for area of a trapezoid. A= What do the variables represent? A= h= b1 = b2 = Solve the following problems. Be sure to include your units throughout the solution process! 1) A = 48 m2, h = ?, b1 = 7 m, b2 = 9 m V = ?, r = 6 cm, h = 20 cm 3) A soda pop can measures 6 centimeters in diameter and 13 centimeters high. What is its volume? 2) A = ?, h = 10 ft., b1 = 9 ft., b2 = 21 ft. 3) A = 59.4 in.2, h = ?, b1 = 7 in., b2 = 15 in. 4) A = 54 cm2, h = 6 cm, b1 = ?, b2 = 10 cm 4) The volume of a glass is 549.5 cm3. If its height is 7 centimeters, what is its radius? d= This is the density formula. m v What do the variables represent? d= m= v= 1 cm3 = 1 mL Solve the following problems. Be sure to include your units throughout the solution process! 1) d = 13.5 g/mL, m = 15 g, v = ? F = ma This is the formula for force. What do the variables represent? F= m= a= Solve the following problems. Be sure to include your units throughout the solution process! 1) F = ?, m = 15 kg, a = 20 m/sec2 2) 2) d = ?, m = 233 g, v = 10.0 mL 3) A rock has a volume of 15 cm3 and a mass of 45 grams. What is its density? 4) You decide you want to carry a boulder home from the beach. It is 30 centimeters on each side, and so has a volume of 27,000 cm3. It is made of granite, which has a typical density of 2.8 g/cm3. How much will this boulder weigh? kg m F = 250 N , m = ?, a = 12.5 m/sec2 2 sec 3) A force of 20 N acts upon a 5 kg block. Calculate the acceleration of the object. 4) An object of mass 300 kg is observed to accelerate at the rate of 4 m/s2. Calculate the force required to produce this acceleration. W = Fd This is the work formula. What do the variables represent? W= F= d= Solve the following problems. Be sure to include your units throughout the solution process! kg m2 1) W = 15,000 J , F = ?, d = 1000 m 2 sec 2) mass mass or 703 (for lbs. & in.) 2 (height) (height)2 This is the Body Mass Index formula. BMI = in2 kg 703 has units of lb m2 Solve the following problems. Be sure to include your units throughout the solution process! 1) BMI = ?, mass = 180 lbs., height = 66.5 in. 2) BMI = ?, mass = 90 kg, height = 1.83 m 3) BMI = 18, mass = ?, height = 66 in. kg m W = ?, F = 27.5 N , d = 12.3 m 2 sec 3) A fork lift moves 34m carrying a 1023N box across the warehouse floor. How much work is done by the fork lift? 4) 55,000J of work is done to move a rock 25m. How much force was applied? 4) BMI = 25, mass = 175 lbs., height = ? (this one is tricky!)
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