Problem 05
A vegetable bin built in the form of a cube with an edge of 6 ft. is divided by a vertical partition which passes through two diagonally opposite edges. Find the lateral surface of either compartment.
 

Problem 04
Find the volume and total area of the largest cube of wood that can be cut from a log of circular cross section whose radius is 12.7 inches. See figure.
 

Problem
Find the smallest number which when divided by 2 the remainder is 1, when divided by 3 the remainder is 2, when divided by 4 the remainder is 3, when divided by 5 the remainder is 4, and when divided by 6 the remainder is 5.
 

Problem
Solve for x, y, and z from the following system of equations.
$x(y + z) = 12$   →   Equation (1)

$y(x + z) = 6$   →   Equation (2)

$z(x + y) = 10$   →   Equation (3)
 

Problem
Find the value of x, y, and z from the given system of equations.
$x(x + y + z) = -36$   →   Equation (1)

$y(x + y + z) = 27$   →   Equation (2)

$z(x + y + z) = 90$   →   Equation (3)
 

Problem
Find the value of x, y, and z from the following equations.
$xy = -3$   →   Equation (1)

$yz = 12$   →   Equation (2)

$xz = -4$   →   Equation (3)