A right circular cylinder has a volume of . If the height of the cylinder is 5, what is the radius of the cylinder?
44 items match · Math · Area and volume
Square A has side lengths that are times the side lengths of square B. The area of square A is times the area of square B. What is the value of ?
The side length of a square is . What is the area, , of the square?
What is the length of one side of a square that has the same area as a circle with radius 2 ?
Square X has a side length of centimeters. The perimeter of square Y is times the perimeter of square X. What is the length, in centimeters, of one side of square Y?
The area of a square is square inches. What is the side length, in inches, of this square?
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?
A cube has an edge length of inches. A solid sphere with a radius of 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?
The figure shown is a right circular cylinder with a radius of and height of . A second right circular cylinder (not shown) has a volume that is times as large as the volume of the cylinder shown. Which of the following could represent the radius , in terms of , and the height , in terms of , of the second cylinder?
A cube has an edge length of inches. What is the volume, in cubic inches, of the cube?
A cylinder has a diameter of inches and a height of inches. What is the volume, in cubic inches, of the cylinder?
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?
A rectangle has an area of square meters and a length of meters. What is the width, in meters, of the rectangle?
A cube has a volume of cubic units. What is the surface area, in square units, of the cube?
A right circular cone has a height of and a base with a diameter of . The volume of this cone is . What is the value of ?
A circle has a circumference of centimeters. What is the diameter, in centimeters, of the circle?
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?
Triangle ABC and triangle DEF are similar triangles, where and
are corresponding sides. If
and the perimeter of triangle ABC is 20, what is the perimeter of triangle DEF ?
A rectangular poster has an area of square inches. A copy of the poster is made in which the length and width of the original poster are each increased by . What is the area of the copy, in square inches?
A right rectangular prism has a length of , a width of , and a height of . What is the surface area, , of the right rectangular prism?
What is the area, in square centimeters, of a rectangle with a length of and a width of ?
A right circular cone has a volume of cubic feet and a height of 9 feet. What is the radius, in feet, of the base of the cone?
A rectangle has a length of and a width of . What is the perimeter of the rectangle?
A triangular prism has a height of and a volume of . What is the area, , of the base of the prism? (The volume of a triangular prism is equal to , where is the area of the base and is the height of the prism.)
- 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 units. If units and units, what is the value of , in units?