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Directions: Read carefully. Note: Actual measurements may have been rounded to the nearest tenth.
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The bases of this right triangular prism are right triangles, as shown. Find the volume of this prism.
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2. |
A right regular square pyramid is shown at the right. Find the volume of this pyramid, in cubic feet.
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3. |
The volume of the right triangular prism, shown at the right, is 816 cubic feet. What is the height, h, of the prism, in feet?
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4. |
A wedge of cheese is a right triangular prism. How many cubic inches of cheese are shown?
Disregard the hole with the mouse.
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5. |
A right trapezoidal prism is used for feeding goats. The dimensions on the diagram are given in inches.
How many cubic feet, to the nearest tenth of a cubic foot, of grain can this feeder hold when filled to the top?
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Dimensions are given in inches. |
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6. |
Each participant at a conference receives a "Pyramid of Success" paperweight. The dimensions of the base of the right rectangular pyramid are 2½ inches by 1½ inches, and its volume is 5 cubic inches. Find the height of the pyramid, in inches.
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7. |
The Pyramid of Khafre was built for the son of Khufa, for whom the Great Pyramid was built. It is slightly smaller in size than the Great Pyramid. The height is 447.5 ft. and the base side length is 706 ft.
Find the volume of the Pyramid of Khafre to the nearest cubic foot.
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A right, square pyramid. |
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8. |
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When a pyramid is sliced parallel to its base, the bottom portion that remains is called a "frustum". Given the information shown above
find the volume of the frustum, in cubic inches.
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9. |
A large die is being molded for a children's board game. Each die is a cube with a side length of 1.2 inches. Each mold tray contains one dozen die molds. If the liquid plastic used to fill the molds is measured in cubic inches, how much liquid plastic is needed to fill one tray?
Round to nearest tenth of a cubic inch.
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10. |
A camping tent is a right triangular prism with isosceles triangle bases, as shown.
a) What is the volume of the tent in cubic feet?
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b) The tent is covered in canvas on all surfaces. Find the number of square feet of canvas needed to cover the faces of this tent.
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