FOUNDATIONS OF MATH 10
Chapter 1/2 - Day 8: VOLUME
What does it mean when we something is a "right" cone or a "right" pyramid?
What is volume?
What is capacity?
For each of the 3-dimensional shape shown, write the shape's name and the
formula to find its volume. Note any relationship between the volumes.
Shape name:
Formula for the volume:
Shape name:
Formula for the volume:
Shape name:
Formula for the volume:
Chapter 1/2 - Day 8: VOLUME
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Shape name:
Formula for the volume:
Shape name:
Formula for the volume:
exercise: A cylindrical vase is 5 inches tall and has a radius of 2 inches. A vase in
the shape of a rectangular prism has a base that is 8 cm by 8cm and
has a height of 17 cm. If the cylindrical vase is full of water, can all of
the water be poured into the other vase without it overflowing? Draw
a diagram and show all of your work – keep it neat and organized!
[Answer: yes]
Chapter 1/2 - Day 8: VOLUME
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exercise: The volume of a rectangular pyramid is 720 cm3. If the pyramid has a
square base measuring 6 cm on each side, what is the height of the
[Answer: 60 cm]
pyramid?
exercise: The volume of a cylindrical grain silo is 363 cubic yards. If its height is
30 ft, find is the diameter in feet and inches. Round to the nearest
[Answer: 20′′5″″]
inch.
exercise: A single scoop ice cream cone looks like a cone with a hemisphere on
top. If the cone is 5 inches tall and the radius of the cone at the top is
1.5 inches, what is the total volume of ice cream? Assume the ice
cream fills the entire cone. Round to the nearest cubic inch.
3
[Answer: 19 in ]
Chapter 1/2 - Day 8: VOLUME
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exercise: A child builds a castle out of wooden blocks that looks like the one
below. The small block is a cube with a side length of 3 cm. The
diameter of the cylinders is also 3 cm and they are 4.5 cm tall. The
large box is a rectangular prism with a length of 45 cm, a width of
21 cm and a height of 20 cm. What is the total volume of the castle?
3
[Answer: 19 054 cm ]
What is the surface area of the castle? Do not include the bottom of the castle.
2
[Answer: 3791 cm ]