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44 items match · Math · Area and volume

Medium Math · Geometry and Trigonometry · Area and volume · MCQ figure

A right circular cylinder has a volume of 45 pi. If the height of the cylinder is 5, what is the radius of the cylinder?

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Hard Math · Geometry and Trigonometry · Area and volume · SPR

Square A has side lengths that are 166 times the side lengths of square B. The area of square A is k times the area of square B. What is the value of k ?

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Easy Math · Geometry and Trigonometry · Area and volume · MCQ

The side length of a square is 55 centimeters cm. What is the area, in cm2, of the square?

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Medium Math · Geometry and Trigonometry · Area and volume · MCQ figure

What is the length of one side of a square that has the same area as a circle with radius 2 ?

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Medium Math · Geometry and Trigonometry · Area and volume · MCQ

Square X has a side length of 12 centimeters. The perimeter of square Y is 2 times the perimeter of square X. What is the length, in centimeters, of one side of square Y?

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Easy Math · Geometry and Trigonometry · Area and volume · MCQ

The area of a square is 64 square inches. What is the side length, in inches, of this square?

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Medium Math · Geometry and Trigonometry · Area and volume · SPR figure

What is the volume, in cubic centimeters, of a right rectangular prism that has a length of 4 centimeters, a width of 9 centimeters, and a height of 10 centimeters?

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Hard Math · Geometry and Trigonometry · Area and volume · MCQ

A cube has an edge length of 68 inches. A solid sphere with a radius of 34 inches is inside the cube, such that the sphere touches the center of each face of the cube. To the nearest cubic inch, what is the volume of the space in the cube not taken up by the sphere?

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Hard Math · Geometry and Trigonometry · Area and volume · MCQ figure

The figure shown is a right circular cylinder with a radius of r and height of h . A second right circular cylinder (not shown) has a volume that is 392 times as large as the volume of the cylinder shown. Which of the following could represent the radius R , in terms of r , and the height H , in terms of h , of the second cylinder?

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Medium Math · Geometry and Trigonometry · Area and volume · MCQ

A cube has an edge length of 41 inches. What is the volume, in cubic inches, of the cube?

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Medium Math · Geometry and Trigonometry · Area and volume · MCQ

A cylinder has a diameter of 8 inches and a height of 12 inches. What is the volume, in cubic inches, of the cylinder?

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Medium Math · Geometry and Trigonometry · Area and volume · MCQ figure

A manufacturing company produces two sizes of cylindrical containers that each have a height of 50 centimeters. The radius of container A is 16 centimeters, and the radius of container B is 25% longer than the radius of container A. What is the volume, in cubic centimeters, of container B?

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Easy Math · Geometry and Trigonometry · Area and volume · MCQ

A rectangle has an area of 63 square meters and a length of 9 meters. What is the width, in meters, of the rectangle?

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Hard Math · Geometry and Trigonometry · Area and volume · SPR

A cube has a volume of 474,552 cubic units. What is the surface area, in square units, of the cube?

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Hard Math · Geometry and Trigonometry · Area and volume · SPR

A right circular cone has a height of 22 centimeters cm and a base with a diameter of 6 cm. The volume of this cone is nπ cm3. What is the value of n ?

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Medium Math · Geometry and Trigonometry · Area and volume · SPR

A circle has a circumference of 31π centimeters. What is the diameter, in centimeters, of the circle?

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Hard Math · Geometry and Trigonometry · Area and volume · MCQ figure

A manufacturer determined that right cylindrical containers with a height that is 4 inches longer than the radius offer the optimal number of containers to be displayed on a shelf. Which of the following expresses the volume, V, in cubic inches, of such containers, where r is the radius, in inches?

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Easy Math · Geometry and Trigonometry · Area and volume · MCQ figure

Triangle ABC and triangle DEF are similar triangles, where line segment A B and line segment D E are corresponding sides. If the length of line segment D E equals, 2 times the length of line segment A B and the perimeter of triangle ABC is 20, what is the perimeter of triangle DEF ?

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Hard Math · Geometry and Trigonometry · Area and volume · SPR

A rectangular poster has an area of 360 square inches. A copy of the poster is made in which the length and width of the original poster are each increased by 20 %. What is the area of the copy, in square inches?

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Hard Math · Geometry and Trigonometry · Area and volume · SPR

A right rectangular prism has a length of 28 centimeters cm, a width of 15 cm, and a height of 16 cm. What is the surface area, in cm2, of the right rectangular prism?

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Easy Math · Geometry and Trigonometry · Area and volume · SPR

What is the area, in square centimeters, of a rectangle with a length of 34 centimeters cm and a width of 29 cm?

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Hard Math · Geometry and Trigonometry · Area and volume · MCQ figure

A right circular cone has a volume of one third, pi  cubic feet and a height of 9 feet. What is the radius, in feet, of the base of the cone?

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Easy Math · Geometry and Trigonometry · Area and volume · MCQ

A rectangle has a length of 13 and a width of 6 . What is the perimeter of the rectangle?

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Medium Math · Geometry and Trigonometry · Area and volume · SPR

A triangular prism has a height of 8 centimeters cm and a volume of 216 cm3. What is the area, in cm2, of the base of the prism? (The volume of a triangular prism is equal to B h , where B is the area of the base and h is the height of the prism.)

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Easy Math · Geometry and Trigonometry · Area and volume · MCQ figure

  • The lengths of the sides are x, y, and z.
  • A note indicates the figure is not drawn to scale.

 

The triangle shown has a perimeter of 22 units. If x=9 units and y=7 units, what is the value of z , in units?

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