Surface Area of Composite Objects

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1) A cube has side length 6 cm. A smaller cube with a side length of 3 cm is glued on top, sharing one face. What is the total surface area?
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Surface Area Of Composite Objects - Quiz

Want to get hands-on with real objects made from more than one solid? In this quiz, you’ll calculate total surface area for models like bins, domes, silos, and stacks. You’ll decide which faces show, which faces don’t, and how to add flat and curved areas. Bit by bit, you’ll turn... see morea tricky shape into easy parts you can measure. see less

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2) A rectangular prism measures 8 cm m 6 cm m 4 cm. A second identical prism is stacked on top along the 8 m 6 face. What is the total surface area?
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3) A cylinder of radius 5 cm and height 10 cm stands on top of a cube of side 10 cm. Find the approximate total surface area.
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4) A cone of radius 3 cm and slant height 5 cm sits on top of a cylinder of radius 3 cm and height 8 cm. Find the approximate total surface area.
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5) A hemisphere of radius 4 cm is attached to the top of a cylinder with the same radius and a height of 6 cm. What is the approximate total surface area?
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6) A cube of side 8 cm has a cylinder of radius 4 cm and height 8 cm passing through it. Find the total surface area of the shape.
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7) A square pyramid with base side 10 cm and slant height 12 cm is placed on top of a cube of side 10 cm. Find the total surface area.
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8) A silo is shaped like a cylinder (radius 6 m, height 12 m) with a hemisphere roof. Find the approximate total surface area excluding the base of the silo.
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9) A house in the shape of a rectangular prism measures 8 m m 6 m m 10 m. A triangular prism roof (with base 8 m, height 3 m, and length 6 m) is placed on top, sharing the 8 m 6 face. What is the total approximate surface area of the composite solid?
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10) A cone of radius 7 cm and slant height 10 cm is placed on a cylinder of radius 7 cm and height 14 cm. Find the approximate total surface area.
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11) A rectangular tank 12 m m 8 m m 6 m has a half-cylinder roof (radius 4 m, length 12 m). Find the approximate total surface area.
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12) A cube of side 5 cm has a pyramid of height 6 cm with a square base (5 cm m 5 cm) attached on top. Find the total surface area.
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13) A hemisphere of radius 6 cm sits on top of a cylinder with radius 6 cm and height 10 cm. Find the approximate total surface area.
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14) A cube with a side length of 4 cm has a hole cut through it in the shape of a cylinder (radius 2 cm, height 4 cm). Find the approximate surface area of the remaining solid.
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15) A rectangular prism 20 m m 10 m m 5 m has a quarter cylinder of radius 5 m attached along one 20 m 5 face. Find the approximate total surface area.
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16) A cylinder has radius 3 cm and height 9 cm. A cone with the same base radius (3 cm) and height (9 cm) is removed from the top of the cylinder, leaving an open cone-shaped cavity inside. Find the approximate total surface area of the solid (include the outside of the cylinder, its bottom, and the slanted interior of the cone cavity).
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17) A rectangular prism 10 m 8 m 4 has a half-sphere of radius 4 attached on top. Find the approximate total surface area.
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18) A cube has side length 10 cm. A triangular prism with a right-triangle base (legs 6 cm and 8 cm) and length 10 cm is attached to one face of the cube so that their 10 m 10 rectangular faces coincide. What is the total surface area of the composite solid?
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19) A dome-shaped observatory is modeled as a cylinder (radius 10 m, height 15 m) with a hemisphere roof. Find the approximate total surface area including the base of the observatory.
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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, slant height 6.5 m). Find the approximate total surface area.
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A cube has side length 6 cm. A smaller cube with a side length of 3 cm...
A rectangular prism measures 8 cm m 6 cm m 4 cm. A second identical...
A cylinder of radius 5 cm and height 10 cm stands on top of a cube of...
A cone of radius 3 cm and slant height 5 cm sits on top of a cylinder...
A hemisphere of radius 4 cm is attached to the top of a cylinder with...
A cube of side 8 cm has a cylinder of radius 4 cm and height 8 cm...
A square pyramid with base side 10 cm and slant height 12 cm is placed...
A silo is shaped like a cylinder (radius 6 m, height 12 m) with a...
A house in the shape of a rectangular prism measures 8 m m 6 m m 10 m....
A cone of radius 7 cm and slant height 10 cm is placed on a cylinder...
A rectangular tank 12 m m 8 m m 6 m has a half-cylinder roof (radius 4...
A cube of side 5 cm has a pyramid of height 6 cm with a square base (5...
A hemisphere of radius 6 cm sits on top of a cylinder with radius 6 cm...
A cube with a side length of 4 cm has a hole cut through it in the...
A rectangular prism 20 m m 10 m m 5 m has a quarter cylinder of radius...
A cylinder has radius 3 cm and height 9 cm. A cone with the same base...
A rectangular prism 10 m 8 m 4 has a half-sphere of radius 4 attached...
A cube has side length 10 cm. A triangular prism with a right-triangle...
A dome-shaped observatory is modeled as a cylinder (radius 10 m,...
A composite storage bin is shaped like a cube of side 5 m with a cone...
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