Unit 7 Review Volume= Length x Width x Height The following box needs to be partitioned into 3 boxes. What would be the total volume? 5 cm 4 cm 4 cm • Joe created the following model with centimeter cubes in his math class. How many centimeter cubes did Joe use? • If each cube is 1 inch wide, 1 inch long, and 1 inch high, what is the volume for this shape? • Connor is tracking how much salt she is eating and saw that her noodles contain 560 mg of salt per serving. How many grams is this? • Use this conversion rule: 1,000 mg = 1 g • Seth must drink 96 ounces of water per day to have the amount suggested by his doctor. How many cups of water will Seth drink per day? • Use this rule: 8 fl. Oz = 1 c • 8 cm = ______ m • Use 100 cm = 1 m • A teacher buys ten small bags of candy to give to her class The weight of the candy bags in pounds are shown on the line plot. What is the total weight of all the candy bags? X x 1 / 8 X 2 / 8 X x 3 / 8 X x 4 / 8 5 / 8 6 / 8 7 / 8 1 • If the teacher divides the candy up evenly into 2 bags, what will each of the bags weigh? • Lee made these layers of cubic cm in his math class. If he stacked the layers together, what would the total volume of the figure be? • Carey created the following model with cm cubes in class. How many cm cubes did he use? • What is the volume of a rectangular prism with a base area of 24 square cm, and a height of 6 cm? • A dozen donuts come in a box that measure 3 in. x 12in. X 14in. How many boxes should fit into a 36in. X 12in. X 14in. Container? • A garden box measures 3ft. X 4ft. X 5 ft. If the gardener fills half the box with soil, how many cubic feet of soil will he need? • Lily bought a 3 L bottle of coke. If he fills 6 cups equally, how many mL will be in each cup? Use 1 L = 1,000 mL. • Brandon wakes up for school at 5:30 am. in the morning. If schools starts at 7 am., how many minutes does he have from the time he wakes up until school starts? • The area of the base of a cube is 36cm². What is the volume of the cube? • Jason made 3 boxes. The boxes he made had the following dimensions: • Box A: 4 in. x 3in. X 2in. • Box B. 1 in. x 5in. X 4in. • Box C: 4in. X 4in. X 3in. • What box will hold the most? • A large rectangular container has a volume of 1, 500 cubic meters. The container is 10 meters wide and 5 meters high. What is the length of the rectangular container? • Brian is filling his new fish tank. The tank is 4 feet long, 12 inches high, and 24 inches deep. What is the volume of the fish tank in cubic inches? • The total volume of the tissue box is 24,000 cubic cm. If the height of the box is 12 cm, what could the other dimensions be? • What is the volume of the following model if each cube represents 1 cubic centimeter? • Mr. Jones is building a cement walkway for his mom. How much space is needed to build the walkway that is 18 ft. long, 3 ft. wide and 2 ft. high. • If each bag’s mixture fills a space of 6 cubic feet, then how many bags of mixture will Mr. Jones need to buy? • The base of a 3 dimensional shape is 81 square inches. • What is the possible value for the length and width? • Length= ____ in. Width = _____ in. • If the height is 6 inches, what is the total volume? • Total volume= ______ cubic inches. • A toy company produces puzzles that come in boxes that are 4 inches long x 4 inches high by 4 inches tall. How many puzzles can fit into a shipping container that is 8 in. long x 8 in. high by 8 inches tall? • Tyler picked up a handful of tiny stones from his backyard and brought them into his house to weigh them. He recorded the weight of each stone below: • 1/8g. 1/4g. 1/8g. 3/8g. 1/4g. 1/8g. 3/4g. • Plot these measurements on the line plot below and answer the questions. • • • • Which weight occurred the most frequently? How many weighed less than 5/8? What was the total weight of the stones? If the weights were “evened out”, what would the average weight be?