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Measure liquid volume and mass

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5160043
A large pineapple weighs \(925\,\text{g}\). The peel and tough core weigh \(387\,\text{g}\) altogether. How many grams of fruit remain?

Hints

- Think about what remains after the peel and core are removed from the whole pineapple. - Which operation finds a difference or a remaining amount?

Solution

1. Subtract the weight of the peel and core from the total weight: \(925\,\text{g} - 387\,\text{g} = 538\,\text{g}\).

Answer

\(538\,\text{g}\) of fruit remain.
5166703
Match each object with a reasonable capacity. Objects: a teaspoon, a small yogurt cup, a mop bucket, a full bathtub Capacities: \(5\,\text{mL}\), \(150\,\text{mL}\), \(10\,\text{L}\), \(150\,\text{L}\)

Hints

- Order the objects from least capacity to greatest capacity. - Milliliters describe smaller capacities than liters. - Compare each object with a familiar water bottle or container.

Solution

1. A teaspoon holds about \(5\,\text{mL}\). 2. A small yogurt cup holds about \(150\,\text{mL}\). 3. A mop bucket holds about \(10\,\text{L}\). 4. A full bathtub holds about \(150\,\text{L}\).

Answer

Teaspoon: \(5\,\text{mL}\); small yogurt cup: \(150\,\text{mL}\); mop bucket: \(10\,\text{L}\); full bathtub: \(150\,\text{L}\)
5166803
A bottle holds \(600\,\text{mL}\) of juice. Four full cups fill the bottle exactly. How many milliliters does each cup hold?

Hints

- The four cups hold \(600\,\text{mL}\) altogether. - Divide the total volume into four equal parts. - Check by multiplying your answer by \(4\).

Solution

1. Four equal cupfuls have a total volume of \(600\,\text{mL}\). 2. Divide the total volume by \(4\): \(600\,\text{mL} \div 4 = 150\,\text{mL}\).

Answer

Each cup holds \(150\,\text{mL}\).
5217753
Give a reasonable estimate for each measurement. Include an appropriate metric unit. a) The mass of a chicken egg b) The amount of juice in a small juice box c) The mass of a packed elementary-school backpack d) The amount of water in a filled bathtub

Hints

- Compare each item with a familiar object or container. - Decide whether grams or kilograms are more suitable for each mass. - Decide whether milliliters or liters are more suitable for each liquid volume.

Solution

1. A chicken egg has a mass of about \(60\,\text{g}\). 2. A small juice box holds about \(250\,\text{mL}\). 3. A packed elementary-school backpack may have a mass of about \(4\,\text{kg}\). 4. A filled bathtub may contain about \(150\,\text{L}\) of water. Other nearby estimates with suitable units are also reasonable.

Answer

Sample estimates: a) About \(60\,\text{g}\) b) About \(250\,\text{mL}\) c) About \(4\,\text{kg}\) d) About \(150\,\text{L}\)
5160053
Lucas wants to know which fruit gives him more to eat. A mango weighs \(453\,\text{g}\). Its pit and peel weigh \(165\,\text{g}\) altogether. An avocado weighs \(312\,\text{g}\). Its pit and peel weigh \(88\,\text{g}\) altogether. Which fruit has more edible fruit? How many more grams of edible fruit does it have?

Hints

- First find the edible amount for each fruit separately. - Compare the two results. - To find the difference, subtract the smaller result from the larger result.

Solution

1. Find the edible part of the mango: \(453\,\text{g} - 165\,\text{g} = 288\,\text{g}\). 2. Find the edible part of the avocado: \(312\,\text{g} - 88\,\text{g} = 224\,\text{g}\). 3. Compare the amounts: \(288\,\text{g} > 224\,\text{g}\), so the mango has more edible fruit. 4. Find the difference: \(288\,\text{g} - 224\,\text{g} = 64\,\text{g}\).

Answer

The mango has more edible fruit. It has \(64\,\text{g}\) more than the avocado.
5160063
A honeydew melon weighs \(870\,\text{g}\). After the rind and seeds are removed, \(615\,\text{g}\) of fruit remain. a) How much do the rind and seeds weigh? b) How much rind and seeds would there be altogether from two identical honeydew melons?

Hints

- For part a, find the difference between the whole melon and the edible fruit. - After you know the amount for one melon, how can you find the amount for two melons?

Solution

1. Find the weight of the rind and seeds from one melon: \(870\,\text{g} - 615\,\text{g} = 255\,\text{g}\). 2. Double that amount for two melons: \(255\,\text{g} + 255\,\text{g} = 510\,\text{g}\).

Answer

a) The rind and seeds weigh \(255\,\text{g}\). b) Two melons produce \(510\,\text{g}\) of rind and seeds altogether.

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