Composite Volumes

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1) A cylinder (radius 5 cm, height 10 cm) is attached to a cube with a side length of 10 cm. Find the approximate total volume.
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About This Quiz
Composite Volumes - Quiz

Let's put your volume skills to work on bigger builds! In this quiz, you’ll combine volumes for joined shapes, handle half or quarter solids, and subtract parts that are removed. You’ll match each piece to a formula (prism, cylinder, cone, sphere), plug in the numbers, and finish with neat unit-labeled... see moreanswers. see less

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2) A rectangular prism measures 8 cm m 6 cm m 4 cm. A triangular prism with base 8 cm m 4 cm and height 3 cm is placed on top. Find the total volume of the figure.
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3) A cone (radius 3 cm, height 6 cm) is placed on top of a cylinder (radius 3 cm, height 8 cm). Find the total volume.
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4) A rectangular prism measures 10 cm m 8 cm m 6 cm. A half-cylinder with radius 4 cm and length 8 cm is attached to the top. Find the approximate total volume.
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5) A sphere of radius 5 cm is cut in half. Find the volume of one half.
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6) A cylinder with radius 4 m and height 10 m is attached to a rectangular prism that measures 8 m m 8 m m 4 m, sharing their 8 m 8 base. What is the approximate total volume of the composite solid?
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7) A pyramid of height 9 cm sits on top of a cube with a side length of 6 cm. Find the total volume.
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8) A silo is shaped like a cylinder (radius 4 m, height 10 m) with a hemisphere of radius 4 m on top. Find the approximate total volume.
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9) A rectangular prism measures 8 cm m 8 cm m 5 cm. On top is a triangular prism roof with base 8 cm m 5 cm and height 4 cm. Find the volume.
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10) A cone of radius 7 m and height 12 m is placed on top of a cylinder of radius 7 m and height 20 m. Find the approximate total volume.
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11) A water tank is shaped like a rectangular prism (6 m 6 m 12) with a half cylinder of radius 3, length 6 on top. Find the approximate volume.
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12) A cube has side length 8 cm. On top of it sits a square pyramid with base 8 cm m 8 cm and height 6 cm. Find the total volume.
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13) A hemisphere of radius 6 cm is placed on top of a cylinder of radius 6 cm and height 10 cm. Find the total volume.
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14) A cube of side 4 cm has a cylinder (radius 2 cm, height 4 cm) removed from it. Find the approximate remaining volume.
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15) A rectangular prism measures 20 cm m 10 cm m 5 cm. A quarter cylinder with radius 5 cm and height 10 cm is attached to the side. Find the approximate total volume. 
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16) A cube has a side length of 12 cm. A hemisphere with radius 6 cm is placed on top of the cube. Find the approximate total volume of the solid.
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17) A rectangular prism measures 10 cm m 8 cm m 4 cm. A hemisphere with radius 4 cm is attached on top. Find the approximate total volume.
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18) A triangular prism of base 12 cm and height 8 cm, length 10 cm, is attached to a cube of side 10 cm. Find the total volume.
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19) A dome-shaped observatory consists of a cylinder with radius 10 m and height 15 m, topped by a hemisphere of radius 10 m. Find the approximate total volume.
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20) A composite storage bin is shaped like a cube of side 5 m with a cone on top, radius 2.5 m and height 6 m. Find the approximate total volume.
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A cylinder (radius 5 cm, height 10 cm) is attached to a cube with a...
A rectangular prism measures 8 cm m 6 cm m 4 cm. A triangular prism...
A cone (radius 3 cm, height 6 cm) is placed on top of a cylinder...
A rectangular prism measures 10 cm m 8 cm m 6 cm. A half-cylinder with...
A sphere of radius 5 cm is cut in half. Find the volume of one half.
A cylinder with radius 4 m and height 10 m is attached to a...
A pyramid of height 9 cm sits on top of a cube with a side length of 6...
A silo is shaped like a cylinder (radius 4 m, height 10 m) with a...
A rectangular prism measures 8 cm m 8 cm m 5 cm. On top is a...
A cone of radius 7 m and height 12 m is placed on top of a cylinder of...
A water tank is shaped like a rectangular prism (6 m 6 m 12) with a...
A cube has side length 8 cm. On top of it sits a square pyramid with...
A hemisphere of radius 6 cm is placed on top of a cylinder of radius 6...
A cube of side 4 cm has a cylinder (radius 2 cm, height 4 cm) removed...
A rectangular prism measures 20 cm m 10 cm m 5 cm. A quarter cylinder...
A cube has a side length of 12 cm. A hemisphere with radius 6 cm is...
A rectangular prism measures 10 cm m 8 cm m 4 cm. A hemisphere with...
A triangular prism of base 12 cm and height 8 cm, length 10 cm, is...
A dome-shaped observatory consists of a cylinder with radius 10 m and...
A composite storage bin is shaped like a cube of side 5 m with a cone...
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