ISEE Upper Level (grades 9-12) Quantitative Reasoning › Solid Geometry
In terms of , give the surface area, in square inches, of a spherical water tank with a diameter of 20 feet.
In terms of , give the volume, in cubic feet, of a spherical tank with diameter 36 inches.
In terms of , give the surface area, in square inches, of a spherical water tank with a diameter of 20 feet.
is a positive number. Which is the greater quantity?
(A) The surface area of a sphere with radius
(B) The surface area of a cube with edges of length
In terms of , give the surface area, in square inches, of a spherical water tank with a diameter of 20 feet.
is a positive number. Which is the greater quantity?
(A) The volume of a cube with edges of length
(B) The volume of a sphere with radius
A large crate in the shape of a rectangular prism has dimensions 5 feet by 4 feet by 12 feet. Give its volume in cubic yards.
What is the surface area of a cylinder of height in, with a radius of
in?
Pyramid 1 has a square base with sidelength ; its height is
.
Pyramid 2 has a square base with sidelength ; its height is
.
Which is the greater quantity?
(a) The volume of Pyramid 1
(b) The volume of Pyramid 2
What is the surface area of a cylinder of height in, with a radius of
in?