Welcome to your ACT 1 Geo: Identify and classify two and three

$Q_{1}:$ A right circular cone can have a cross section in the shape of all of the following EXCEPT:

$Q_{2}:$ The cross section of a rectangular prism is

$Q_{3}:$ What is the dimensions of the cross section below?

$Q_{4}:$ Which of the following is the cross section of this solid?

$Q_{5}:$ Which of the following is the cross section of this solid?

$Q_{6}:$ One of the following arrange is true?

$Q_{7}:$ Find the cross sectional area of a plane perpendicular to the base of a cube of volume equal to $64$ $cm^{3}$?

$Q_{8}:$ Which of the following best encompasses both two-dimensional works of art as well as three-dimensional works of art and architecture?

$Q_{9}:$ A chef wants to wrap a string around a giant wheel of cheese to support a paper label. The wheel of cheese has a diameter of $24$ inches. How much string is needed to go around the wheel of cheese exactly once?

$Q_{10}:$ One of the following shapes is not three dimensional?

$Q_{11}:$ The surface area of a cube is $96$ square feet. How many cubic feet are there in the volume of the cube?

$Q_{12}:$ The front, side, and top views of a three-dimensional figure made of identical cubes are shown below. Which diagram best represents this three-dimensional figure?

$Q_{13}:$ The main entrance to the Louvre art museum is shaped like a pyramid. The pyramid is $71$ feet tall and has a slant height of approximately $91$ feet. Each side of the square base measures $115$ feet. Which of the following is closest to the lateral surface area of the pyramid?

$Q_{14}:$ In the figure given, the volume of the right circular cylinder is $4\pi $ cubic feet. What is the diameter, in feet, of the base of the cylinder?

$Q_{15}:$ An aquarium in the shape of a rectangular prism is $36$ inches long, $24$ inches wide, and $19$ inches deep. The tank is filled with water to a level $1$ inch below the top. If the density of water is $62.4$ pounds per cubic foot, what is the weight of the water to the nearest pound?

Hint

$Q_{16}:$ A right circular cone has a volume of $96\pi $ cubic centimeters. If the radius of the cone is $4$ centimeters, what is the height, in centimeters, of the cone?

$Q_{17}:$ In the figure given, if the height of the right circular cylinder is $12$ yards, what is the volume, in cubic feet, of the cylinder?

Hint

$Q_{18}:$ Which of the following is the part of polyhedron?

$Q_{19}:$ The points $A, B,$ and $C$ in polar coordinates define which of the following?

$Q_{20}:$ What is the surface area of this solid?

$Q_{21}:$ $VABCD$ is a square-based pyramid with vertex $V$ and base $ABCD$, with $V$ vertically above the center of the square base. The height of the pyramid is $4$ cm and the side length of the base is $6$ cm, what is the surface area of the pyramid?

$Q_{22}:$ Consider a cube of side length $2x$. If we draw the four long diagonals, then we obtain?

$Q_{23}:$ Find the volume of the diamond, with height $24$ cm and side length $10$ cm as shown.

$Q_{24}:$ What is the surface area of the solid with dimensions.

$Q_{25}:$ What is the volume of this solid?