Your Understanding on Plane and Solid Shapes

Multiple Choice

A ___________is any closed, two-dimensional shape.

• quadrilateral

• figure

• plane figure

• solid figure

Multiple Choice

A ______________ is three-dimensional, having length, width and height.

• plane figure

• solid figure

• triangle

• quadrilateral

Multiple Choice

Any flat surface of a solid figure is called a ____.

• edge

• face

• vertice

• shape

Multiple Choice

The line segment where two faces of a solid figure intersect is called ______.

• face

• vertex

• edge

Multiple Choice

The point at which two or more lines, line segments, or rays meet to form an angle. In solid figures, a _______ is the point at which three or more faces meet.

• face

• edge

• vertex

Multiple Choice

What shape am I?

I have one circle and one curved side. My curved side surface meets at a sharp point. I have no edges.

• cube

• sphere

• cone

• triangular prism

Multiple Choice

What shape am I?

I have two congruent circles that are joined by a curved surface. I have no edges or vertices, but I can roll.

• Cylinder

• Sphere

• Cone

• Cube

Multiple Choice

What shape am I?

I am round with no edges, vertices, or edges.

• Cyclinder

• Sphere

• Cone

• Circle

Multiple Choice

What shape am I?

I have 6 faces , 12 edges, and 8 vertices. I have all the same shaped faces. All my edges are the same length.

• Square Pyramid

• Rectangular Prism

• Cube

• Cone

Multiple Choice

What shape am I?

I have 12 edges, 8 vertices, and 6 faces. I have both square and rectangular faces.

• Rectangle

• Cube

• Square Pyramid

• Rectangular Prism

Multiple Choice

What shape am I?

I have 5 faces, 8 edges, and 5 vertices. I have two different shaped faces.

• Square Pyramid

• Rectangular Prism

• Cube

• Cyclinder

Multiple Choice

What geometric figure will be created?

• Cube

• Rectangular Prism

• Square Pyramid

• Cone

Multiple Choice

What geometric shape will be created?

• Cube

• Rectangular Prism

• Squares

• Cyclinder

Multiple Choice

What combinations of shapes would you need to create a cube?

• 6 square faces

• 6 rectangle faces

• 4 squares and 2 rectangles faces

• 4 rectangles and 2 square faces

Multiple Choice

What combinations of shapes would you need to create a rectangular prism?

• 6 square faces

• 6 rectangle faces

• 4 squares and 2 rectangles faces

• 4 rectangles and 2 square faces

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Multiple Choice

An isosceles right triangle is placed on a coordinate grid. One of its legs is on the x-axis and the other on the y-axis. Which describes the shape created when the triangle is rotated about the 𝑥−𝑎𝑥𝑖𝑠?

• cone

• cylinder

• pyramid

• sphere

Multiple Choice

A rectangle will be rotated 360° about a line which contains the point of intersection of its diagonals and is parallel to a side. What three-dimensional shape will be created as a result of the rotation?

• cube

• rectangular prism

• cylinder

• sphere

Multiple Choice

Which of the following figures could be produced by translating a polygon back and forth in a direction perpendicular to the plane containing the figure?

• cone

• sphere

• cylinder

• prism

Multiple Choice

Which of the following is the best description for the resulting three-dimensional figure if a right triangle is rotated about the line containing its hypotenuse?

• a cone with slant height the same length as the longest leg

• a pyramid with triangular base

• two cones sharing the same circular base with apexes opposite each other

• a cone with slant height the same length as the shortest leg

Multiple Choice

William is drawing pictures of cross sections of the right circular cone as shown.

Which drawing cannot be a cross section of a cone?

Multiple Choice

Which figure can have the same cross section as a sphere?

Multiple Choice

If the rectangle below is continuously rotated about side w, which solid figure is formed?

• pyramid

• rectangular prism

• cone

• cylinder

Multiple Choice

What shape is the cross section formed by the intersection of a cone and a plane parallel to the base of the cone?

• circle

• trapezoid

• oval

• triangle

Multiple Choice

Andrea claims that any two cross sections of a cylinder that lie on parallel planes are congruent.

Is Andrea correct? If not, how can she modify her claim to be correct?

• No; any two cross sections of a cylinder that lie on planes parallel to the bases of the cylinder are congruent.

• No; any two cross sections of a cylinder that lie on planes parallel to a plane containing the axis of rotation are

  congruent.

• No; any two cross sections of a cylinder that lie on planes containing the axis of rotation are congruent.

• Andrea is correct.

Multiple Choice

Erin drew a three-dimensional figure with an intersecting plane to show a circular cross section. She then noticed that all cross sections parallel to the one she drew would also be circles. What additional information would allow you to conclude that Erin’s figure was a cylinder?

• The centers of the circular cross sections lie on a line.

• The circular cross sections are congruent.

• The circular cross sections are similar but not congruent.

• The figure also has at least one rectangular cross section.

Multiple Choice

A plane intersects a hexagonal prism. The plane is perpendicular to the base of the prism. Which two-dimensional figure is the cross section of the plane intersecting the prism?

• Triangle

• Trapezoid

• Hexagon

• Rectangle

Multiple Choice

A cross section of a right triangular prism is created by a plane cut through the points shown and is also perpendicular to the opposite base. What is the most specific name of the shape representing the cross section?

• Triangle

• Rectangle

• Trapezoid

• Parallelogram

Multiple Choice

Find the Volume

• 72 cubic cm 
• 24 cubic cm
• 576 cubic cm
• 48 cubic cm

Multiple Choice

What is the total volume of this figure?

• 60
• 100
• 120
• 300

Multiple Choice

What is the volume of this composite figure? Use the pi button on your calculator and round the answer to the nearest tenth.

• 4825.5 ft³
• 1206.4 ft³

Multiple Choice

What is the volume of this composite figure? (The top hemisphere is removed from the cylinder.) Use 3.14 for pi.

• 254.3 in³
• 367.4 in³

Multiple Choice

Both rectangular prisms shown are identical (the same). What is the volume of the composite figure?

• 225
• 400
• 450
• 350

Multiple Choice

Find the volume of the following shape.

(What two solids are being added together??)

• 4155.27 m³

• 1038.82 m³

• 804.24 m³

• 1005.31 m³

Multiple Select

Which 3D Figures make up the following composite solid. Click on BOTH!

• Cone

• Cylinder

• Pyramid

• Rectangular Prism

Multiple Choice

Find the volume.

• 151.2
• 163.7
• 179.1
• 186.3

Multiple Choice

Which 3D Figures make up the following composite solid.

• Cone

• Cylinder

• Pyramid

• Rectangular Prism

Multiple Select

Which 3D Figures make up the following composite solid.

• Rectangular Prism

• Cylinder

• Pyramid

• Sphere

Multiple Choice

What shape is the cross section that is made when slicing vertical?

• Square

• Rectangle

• Trapezoid

• Kite

Multiple Choice

What shape is the cross section that is made when slicing parallel to the base?

• Elipse

• Triangle

• Circle

• Square

Multiple Choice

What shape is the cross section that is made when slicing perpendicular to the bottom?

• Circle

• Square

• Rectangle

• Triangle

Multiple Choice

What shape is the cross section that is made when slicing this figure?

• Circle

• Elipse

• Square

• Triangle

Multiple Choice

What shape is the cross section that is made when slicing vertical?

• Triangle

• Circle

• Square

• Rectangle

Multiple Choice

What shape will the vertical cross-section of a cube be?

• Square
• Triangle
• Trapezoid
• Circle

Multiple Choice

What shape will the vertical cross -section of a cylinder be?

• Circle
• Triangle
• Rectangle
• Ellipse

Multiple Choice

What shape will the horizontal cross-section of a cone be?

• Dome
• Circle
• Pyramid
• Triangle

Multiple Choice

Describe the cross section.

• rectangle
• square
• parallelogram
• circle

Multiple Choice

What would the intersection of this figure be?

• Circle
• Square
• Triangle
• Cone

Multiple Choice

Which label would NOT be appropriate for volume.

• square miles
• inches³
• cm³
• cubic feet

Multiple Choice

What is the formula for the volume of a prism?

• V = P*h
• V = B*h
• V = (1/3)P*h
• V = (1/3)B*h

Multiple Choice

What is the formula for volume of a CONE?

• V = π r²
• V = π r² h
• V =  ⅓ π r² h
• V =  ⅓ L W H

Multiple Choice

What is the formula for the volume of a pyramid?

• V = P*h
• V = B*h
• V = (1/3)P*h
• V = (1/3)B*h

Multiple Choice

What is the volume formula for a sphere?

• V = (4 ∕ 3)πr³
• V = (1 ∕ 3)πr²h
• V = πr²h
• V = (1 ∕ 3)Bh

Multiple Choice

What is the formula for volume of a CYLINDER?

• V = π r²
• V = π r² h
• V =  ⅓ π r² h
• V =  ⅓ L W H

Multiple Choice

V = 4/3⋅π⋅r³

• Sphere
• Cube
• Triangular Pyramid
• Rectangular Prism

Multiple Choice

V = π⋅r²⋅H

• Cylinder
• Cone
• Sphere
• Cube

Multiple Choice

V = ½⋅b⋅h⋅H

• Triangular Prism
• Trapezoid
• Sphere
• Square Pyramid

Multiple Choice

V = s³

• Cube
• Sphere
• Rectangular Prism
• Square Pyramid

Multiple Choice

 Find the volume of the solid shown in the figure?

• 7230
• 6621
• 1130
• 907

Multiple Choice

Calculate the Volume

• 410 cm3
• 420 cm3
• 402 cm3
• 401 cm3

Multiple Choice

Find the volume of the figure.

• 126 cm³
• 907.5 cm³
• 605 cm³
• 55 cm³

Multiple Choice

A cone has a volume of 12π, and a radius of 2, what is the height?

• 9
• 12
• 2
• 3

Multiple Choice

A cylinder has a volume of 12π and a height of 12, what is the radius?

• 1
• π
• 12
• 24

Multiple Choice

What is a prism?

• solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures
• Any 3D shape.
• a round solid figure, or its surface, with every point on its surface equidistant from its center.
• a structure with a square or triangular base and sloping sides that meet in a point at the top

Multiple Choice

How do you know which is the base of your prism?

• The two faces that are equal and connected.
• Any face can be the base.
• The rectangular sides.
• There is no way to tell.

Multiple Choice

For the volume of a prism, V= Bh,
What does the h stand for?

• Area of the base
• length of the base
• height of the base
• length from base to base

Multiple Choice

What is a cone?

• A solid (3-dimensional) object with a circular flat base joined to a curved side that ends in an apex point.
• a structure with a square or triangular base and sloping sides that meet in a point at the top
• solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures
• a round solid figure, or its surface, with every point on its surface equidistant from its center.

Multiple Choice

A cone is what part of a cylinder with the same base and height?

• ½
• ⅓
• ¼
• ⅞