Name Class Date © Houghton Mifflin Harcourt Publishing Company
Performance Task
UNIT 3
1.
A candle maker has a block of paraffin that is 4 centimeters high by
8 centimeters long by 6 centimeters wide. He melts it into a cone-shaped
candle that is 5 centimeters wide at the base and 25 centimeters tall.
Does the candle maker use all of the paraffin from the original block?
How do you know?
2.
An inflatable spherical exercise ball and an inflatable cylindrical ottoman both have
a diameter of 24 inches. Both hold the same amount of air. What is the height of the
ottoman? Use 3.14 for π. Justify your answer.
3.
A potter makes a cylindrical vase that is 14 inches high and 8 inches wide.
The base and sides of the vase are 0.25 inch thick.
MCC8.G.9
a.How tall and wide is the hollow cylindrical interior of this vase?
Explain your reasoning.
b.What is the volume of the interior? Use 3.14 for π. Round your answer
to the nearest cubic inch.
Unit 3
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Performance Task
c.Another vase having the same outside dimensions has thicker sides.
Choose a side thickness and calculate the volume. Is the inside volume
of this vase greater or less than the volume of the original vase?
4.
A company makes snow globes. Each snow globe is in the shape of a sphere,
and the diameter of the sphere is 8 centimeters.
a.One cubic centimeter of water has a mass of about 1 gram. If the snow globe
is filled with water, what is the total mass of the water in the snow globe?
Explain how you found your answer. Use 3.14 for π and round to the nearest
whole gram.
Unit 3
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Performance Task
© Houghton Mifflin Harcourt Publishing Company
b.The company has another snow globe with a diameter of 9 centimeters
and a mass of 934 grams. The plastic shell, decorations, and base make
up 454 grams of that mass. Is the snow globe filled with water? Explain
your reasoning.