What is the formula for calculating the length of the space diagonal of a right rectangular prism on the basis of the prism's length L, width W, and height H?
A. d = L² + w² + h²
B. h² = L² + w²
C. d = √L + W + H
D. d = √L² + W² + H²
What is the volume of a prism that has a base area of 24 cm² and a height of 12 cm?
A. 336 cm³
B. 576 cm³
C. 288 cm³
D. 216 cm³
What are the coordinates of point R?
A. (0, -2, 5)
B. (2, -5, 0)
C. (0, 2, 5)
D. (-2, 5, 0)
What is the distance between (5, 6, 4) and (4, -4, -2)? Round to the nearest tenth of a unit.
A. 41
B. 5.9
C. 6.3
D. 6.4
What is the equation of the plane that contains the triangle shown in the diagram?
A. 2x + 3y + z = 6
B. 2x + 3y + 6z = 6
C. 3x + 2y + 6z = 0
D. 6x + 2y + 3z = 18
Which statement is true of planes in three-dimensional space?
A. Every plane must have tree intercepts.
B. Every plane must have at least two intercepts.
C. Some planes only have one intercept.
D. Some planes have no intercepts.
What is the total number of edges of an octagonal prism?
A. 8
B. 10
C. 16
D. 24
Which line segment represents the depth of the cube?
A. DE
B. AD
C. EF
D. BC
The endpoints of a line segment are at the coordinates (3, -4, 6) and (5, 7, -2). What is the midpoint of the segment?
A. (4, 1.5, 2)
B. (7, 18, -10)
C. (1, -15, 14)
D. (1.5, -2, 3)
In the rectangular prism side IJ is parallel to side GF. The measure of ÐEAJ is 50°. What is the measure of the dihedral angle that is formed between plane ADIJ and plane ABCD?
A. 90°
B. 180°
C. 40°
D. 50°