Volume
Practice finding the volume and surface area of three-dimensional solids.
21 questions
Drill this topic- View question →
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?
Hard - View question →
A right circular cylinder has a base diameter of 22 centimeters and a height of 6 centimeters. What is the volume, in cubic centimeters, of the cylinder?
Medium - View question →
A right rectangular prism has a height of 9 inches. The length of the prism’s base is x inches, which is 7 inches more than the width of the prism’s base. Which function V gives the volume of the prism, in cubic inches, in terms of the length of the prism’s base?
Medium - View question →
The length of each edge of a box is 29 inches. Each side of the box is in the shape of a square. The box does not have a lid. What is the exterior surface area, in square inches, of this box without a lid?
Medium - View question →
Rectangles ABCD and EFGH are similar. The length of each side of EFGH is 6 times the length of the corresponding side of ABCD. The area of ABCD is 54 square units. What is the area, in square units, of EFGH?
Medium - View question →
For an electric field passing through a flat surface perpendicular to it, the electric flux of the electric field through the surface is the product of the electric field’s strength and the area of the surface. A certain flat surface consists of two adjacent squares, where the side length, in meters, of the larger square is 3 times the side length, in meters, of the smaller square. An electric field with strength 29.00 volts per meter passes uniformly through this surface, which is perpendicular to the electric field. If the total electric flux of the electric field through this surface is 4,640 volts·meters, what is the electric flux, in volts·meters, of the electric field through the larger square?
Hard - View question →
A cylinder has a volume of 45π in. 3 . Which of the following could be the radius and height of the cylinder?
Easy - View question →
Terri fills with water 2 ⁄ 3 of a glass that is 15 cm tall. If the radius of the glass is 2 cm, what volume of water is in Terri’s glass?
Medium - View question →
The height of cylinder B is three times the height of cylinder A, and the radius of cylinder B is 1 ⁄ 3 the radius of cylinder A. Which of the following statements is true?
Medium - View question →
The radius of a cylinder is 2x and the height of the cylinder is 8x + 2. What is the volume of the cylinder in terms of x?
Medium - View question →
The height of a cylinder is four times the radius of the cylinder. If the volume of the cylinder is 256π cm 3 , what is the radius of the cylinder?
Medium - View question →
The length of a rectangular solid is twice the sum of the width and height of the rectangular solid. If the width is equal to the height and the volume of the solid is 108 in. 3 , what is the length of the solid?
Medium - View question →
The area of one face of a cube is 9x 2 square units. What is the volume of the cube?
Medium - View question →
The volume of rectangular solid A is equal to the volume of rectangular solid B. If the length of solid A is three times the length of solid B, and the height of solid A is twice the height of solid B, then
Hard - View question →
The volume of Stephanie’s cube is equal to 64x 6 . What is the area of one face of her cube?
Hard - View question →
The length of a rectangular solid is 6 units, and the height of the solid is 12 units. If the volume of the solid is 36 cubic units, what is the width of the solid?
Easy - View question →
A rectangular solid measures 4 units by 5 units by 6 units. What is the surface area of the solid?
Medium - View question →
Danielle’s cube has a volume of 512 in. 3 . What is the surface area of her cube?
Medium - View question →
The surface area of a rectangular solid is 192 cm 2 . If the height of the solid is 4 units and the length of the solid is 12 units, what is the width of the solid?
Medium - View question →
The volume of a cube is x 3 cubic units, and the surface area of the cube is x 3 square units. What is the value of x?
Hard - View question →
The width of a rectangular solid is twice the height of the solid, and the height of the solid is twice the length of the solid. If x is the length of the solid, what is the surface area of the solid in terms of x?
Hard