PROBABILITY GEOMETRY B LATEST
ASSESSMENT SCRIPT QUESTIONS WITH
COMPLETE SOLUTIONS GRADED A+
●● The base of the prism in the diagram is rectangular, but the edges
that are not parallel to the base are tilted. What is the volume of the
prism?
Answer: D. 648 cm ^3 (cm squared by 3)
●● Type the correct answer in the box.
Answer: The volume of clay used to build a cylindrical pillar with a
height of 9 centimeters is 324π cubic centimeters. The area of the base
of the pillar is
(36) π square centimeters.
●● An artist wants to make alabaster pyramids using a block of alabaster
with a volume of 576 cubic inches. She plans to make each pyramid
with a square base area of 3 square inches and a height of 4 inches. At
most, how many pyramids can the artist make from the block of
alabaster?
Answer: B. 144
, ●● A satellite launch rocket has a cylindrical fuel tank. The fuel tank can
hold V cubic meters of fuel. If the tank measures d meters across, what
is the height of the tank in meters?
Answer: D. 4V / πd ^2 (2 squared)
●● An action movie production team needs glass spheres to hold a green
liquid that looks like an explosive. If all of the available 3,392.92 cubic
inches of the liquid is to be poured into 30 glass spheres, what should the
diameter of each sphere be? Assume that each sphere is filled to the top.
Answer: C. 6 inches
●● The radii of Earth and Pluto are 6,371 kilometers and 1,161
kilometers, respectively. Approximately how many spheres the size of
Pluto does it take to have the same volume as Earth?
Answer: C. 165
●● A hexagonal pyramid is cut by a plane as shown in the diagram.
What is the shape of the resulting cross section?
Answer: A. a hexagon
●● A two-dimensional shape is rotated to form the solid object shown in
the figure.
Answer: This two-dimensional shape can be created by rotating a
(trapezoid) about its base. Another two-dimensional shape that can give
ASSESSMENT SCRIPT QUESTIONS WITH
COMPLETE SOLUTIONS GRADED A+
●● The base of the prism in the diagram is rectangular, but the edges
that are not parallel to the base are tilted. What is the volume of the
prism?
Answer: D. 648 cm ^3 (cm squared by 3)
●● Type the correct answer in the box.
Answer: The volume of clay used to build a cylindrical pillar with a
height of 9 centimeters is 324π cubic centimeters. The area of the base
of the pillar is
(36) π square centimeters.
●● An artist wants to make alabaster pyramids using a block of alabaster
with a volume of 576 cubic inches. She plans to make each pyramid
with a square base area of 3 square inches and a height of 4 inches. At
most, how many pyramids can the artist make from the block of
alabaster?
Answer: B. 144
, ●● A satellite launch rocket has a cylindrical fuel tank. The fuel tank can
hold V cubic meters of fuel. If the tank measures d meters across, what
is the height of the tank in meters?
Answer: D. 4V / πd ^2 (2 squared)
●● An action movie production team needs glass spheres to hold a green
liquid that looks like an explosive. If all of the available 3,392.92 cubic
inches of the liquid is to be poured into 30 glass spheres, what should the
diameter of each sphere be? Assume that each sphere is filled to the top.
Answer: C. 6 inches
●● The radii of Earth and Pluto are 6,371 kilometers and 1,161
kilometers, respectively. Approximately how many spheres the size of
Pluto does it take to have the same volume as Earth?
Answer: C. 165
●● A hexagonal pyramid is cut by a plane as shown in the diagram.
What is the shape of the resulting cross section?
Answer: A. a hexagon
●● A two-dimensional shape is rotated to form the solid object shown in
the figure.
Answer: This two-dimensional shape can be created by rotating a
(trapezoid) about its base. Another two-dimensional shape that can give
