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Directions: Read carefully. Note: Actual measurements may have been rounded to the nearest tenth.
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This net shows the dimensions, in inches, of a right, regular, triangular pyramid (where all triangles are equilateral). The height has been rounded to the nearest tenth. Find the surface area of this pyramid, in square inches.
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2. |
Cheese is sliced in the shape of a right triangular prism, as shown. If the cheese is to be wrapped in tin foil to preserve its freshness, what is the least amount of tin foil needed to completely cover this wedge of cheese, in square inches?
No overlapping of the tin foil.
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A right, trapezoidal prism with an open face is designed for feeding goats. The bases are isosceles trapezoids. The feeder, inside and out, is to be painted with a covering that will stop it from rotting, but is safe for goats.
a) What is the surface area, in square inches, of the feeder, inside and out?
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Measurements are given in inches. |
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b) If $10 of the coating will cover one square foot, what will it cost to paint the feeder, inside and out?
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4. |
A right rectangular cartoon pyramid has a base measuring 3.8 inches by 1.5 inches. The slant height to the 3.8 inch side measures 5.1 inches. The slant height to the 1.5 inch side measures 5.3 inches. Find the surface area in square inches, rounded to the nearest tenth, of the pyramid.
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A new candy bar is shaped as a right, trapezoidal prism. The bases are isosceles trapezoids, with the dimensions in centimeters as shown. Each candy bar is to be wrapped completely, and then stacked in piles of three.
How many square centimeters of wrapping will be needed for a 3 bar pile of the candy bars? (No overlapping of the wrapping for the candy.)
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Cross Section of Candy Bar
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A right square pyramid will be used to cover young seedlings during the winter (the base will be open). The triangular faces of the pyramid are to be covered with two layers of an insulating cloth. Find the number of square feet of insulating cloth that will be needed for two dozen seedling covers.
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Dimensions in inches.
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7. |
Angela built an outdoor play house, in the shape of a right triangular prism, for her puppy. There is a one foot square door opening on the front. If she used canvas to cover all sides, how many square feet of canvas did she need to cover the entire house (minus the opening)?
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8. |
A right trapezoidal prism is shown at the right. Find the surface area of this prism.
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9. |
A container is designed as shown at the right. The bottom is a square prism and the top is a square pyramid. Find the surface area of the figure in square inches.
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10. |
Find the surface area, in square feet. Figure composed of right rectangular prisms.
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