Five-Minute Check (over Chapter 11)
CCSS
Then/Now
New Vocabulary
Example 1: Use Dimensions of a Solid to Sketch a Solid
Example 2: Use an Orthographic Drawing to Sketch a Solid
Example 3: Real-World Example: Identify Cross Sections
of Solids
Over Chapter 11
Find the area of a rhombus with diagonals of
18 and 26.
A. 234 units2
B. 346 units2
C. 404 units2
D. 468 units2
Over Chapter 11
Find the area of a trapezoid with bases of 14 and
30 and height of 5.
A. 188 units2
B. 142 units2
C. 110 units2
D. 104 units2
Over Chapter 11
Find the area of a regular hexagon with side length
of 18.
A. 841.8 units2
B. 618.2 units2
C. 420.9 units2
D. 202.5 units2
Over Chapter 11
Find the area of a square with apothem length of 9.
A. 648 units2
B. 527 units2
C. 437 units2
D. 324 units2
Over Chapter 11
Find the area of a regular triangle with side length
of 15.
A. 82.3 units2
B. 97.4 units2
C. 106.5 units2
D. 112.7 units2
Over Chapter 11
Two similar parallelograms have a scale factor
2 . The area of the smaller figure is 48 square
of __
3
feet. What is the area of the larger parallelogram?
A. 21.3 ft2
B. 72 ft2
C. 108 ft2
D. 32 ft2
Content Standards
G.GMD.4 Identify the shapes of twodimensional cross-sections of threedimensional objects, and identify threedimensional objects generated by rotations of
two-dimensional objects.
Mathematical Practices
5 Use appropriate tools strategically.
1 Make sense of problems and persevere in
solving them.
You identified parallel planes and intersecting
planes in three dimensional figures.
• Draw isometric views of three-dimensional
figures.
• Investigate cross sections of threedimensional figures.
• isometric view
• cross section
Use Dimensions of a Solid to Sketch a Solid
Use isometric dot paper to sketch a triangular
prism 6 units high, with bases that are right
triangles with legs 6 units and 4 units long.
Step 1 Mark the corner of the solid, then draw
segments 6 units down, 6 units to the left,
and 4 units to the right.
Use Dimensions of a Solid to Sketch a Solid
Step 2 Draw the triangle for the top of the solid.
Use Dimensions of a Solid to Sketch a Solid
Step 3 Draw segments 6 units down from each
vertex for the vertical edges.
Use Dimensions of a Solid to Sketch a Solid
Step 4 Connect the corresponding vertices. Use
dashed lines for the hidden edges. Shade the
top of the solid.
Answer:
Which diagram shows a rectangular prism 2 units
high, 5 units long, and 2 units wide?
A.
B.
C.
D.
Use an Orthographic Drawing to Sketch a Solid
Use isometric dot paper and the orthographic
drawing to sketch a solid.
•
The top view indicates one row of different heights
and one column in the front right.
Use Dimensions of a Solid to Sketch a Solid
•
The front view indicates that there are four
standing columns. The first column to the left is
2 blocks high, the second column is 3 blocks high,
the third column is 2 blocks high, and the fourth
column to the far right is 1 block high. The dark
segments indicate breaks in the surface.
•
The right view indicates that the front right column
is only 1 block high. The dark segments indicate a
break in the surface.
Use Dimensions of a Solid to Sketch a Solid
•
The left view indicates that the back left column is
2 blocks high.
•
Draw the figure so that the lowest columns are in
front and connect the dots on the isometric dot
paper to represent the edges of the solid.
Answer:
Which diagram is the correct
corner view of the figure given
the orthographic drawing?
A.
B.
C.
D.
top
view
left
view
front
view
right
view
Identify Cross Sections of Solids
BAKERY A customer ordered a two-layer sheet
cake. Determine the shape of each cross section
of the cake below.
Identify Cross Sections of Solids
Answer:
If the cake is cut horizontally, the cross section will be a
rectangle.
If the cake is cut vertically, the cross section will also be
a rectangle.
A solid cone is going to be sliced so that the
resulting flat portion can be dipped in paint and used
to make prints of different shapes. How should the
cone be sliced to make prints in the shape of a
triangle?
A. Cut the cone parallel to the base.
B. Cut the cone perpendicular to the
base through the vertex of the
cone.
C. Cut the cone perpendicular to the
base, but not through the vertex.
D. Cut the cone at an angle to the
base.