Question

8 QUESTIONS
RECEIVE 8 MEDALS
2 ESSAY QUESTIONS
6 MULTIPLE CHOICE

Answer 1

Question 1 (Essay Worth 4 points)

The area of this cylinder's base is one hundred fifty square inches. The height of the cylinder is 6 inches. What is the volume of the cone that has the same base area and height? Show the steps of your solution and explain your work.

Answer 2

Question 2 (Essay Worth 4 points)

The pyramids at Giza include several square-based pyramids that were built in honor of the Egyptian gods. One of these incredible monuments is the Khafre pyramid, built as part of a temple complex, with the famous Sphinx at its base. The base length of this pyramid is seven hundred five feet, and its height is four hundred seventy-one feet. Massive dimensions indeed! Calculate the volume of the Khafre pyramid. Show the steps of your solution and explain your work.

Answer 3

Question 3 (Multiple Choice Worth 2 points)

Massie bought a glass figure as a souvenir at a museum gift shop. The area of the rectangular base of the pyramid is twelve square centimeters. Its height is 7 centimeters. What is the volume of the pyramid?

twenty-eight cubic centimetres

eighty-four cubic centimeters

four hundred twenty cubic centimeters

one thousand, eight cubic centimeters


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Question 4 (Multiple Choice Worth 2 points)

A rectangular base pyramid has a volume of eighty-four cubic millimeters. What is the volume of a rectangular prism that has the same base length and width, and same overall height?

twenty-eight cubic millimeters

forty-two cubic millimeters

two hundred fifty-two cubic millimeters

five hundred ninety-two thousand, seven hundred four cubic millimeters


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Question 5 (Multiple Choice Worth 2 points)

Which of these formulas could not be used to calculate the volume of this square-based pyramid?

square-based pyramid

volume equals one-third times base area times height

volume equals one-third times length times width times height

volume equals one-third times side squared times height

volume equals one-third times pi times radius squared times height


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Question 6 (Multiple Choice Worth 2 points)

A rectangular pyramid has a volume of seven hundred fifty-six cubic feet. If the base has a length of 9 feet and a width of fourteen feet, what is the height of the pyramid?

1 point five feet

6 feet

twelve point five feet

eighteen feet


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Question 7 (Multiple Choice Worth 2 points)

The formula volume equals one-third times base area times height can be used to find the volume of each of the following figures, except which of the following?

cone

cylinder

hexagonal base pyramid

rectangular base pyramid


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Question 8 (Multiple Choice Worth 2 points)

A snow cone stand sells crushed, flavored ice in cone-shaped paper cups. The opening of the cup is 8 centimeters wide and the height of the cup is twelve centimeters. What is the approximate volume of the cup itself?

two hundred point nine six cubic centimeters

six hundred two point eight eight cubic centimeters

eight hundred three point eight four cubic centimeters

two thousand, four hundred eleven point five two cubic centimeters

Answer 4

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