This handy Spectrum Math Grade 7 Answer Key Chapter 5 Lesson 5.4 Cross Sections of 3-Dimensional Figures provides detailed answers for the workbook questions
Spectrum Math Grade 7 Chapter 5 Lesson 5.4 Cross Sections of 3-Dimensional Figures Answers Key
A cross section of a 3-dimensional figure is the place where a plane cuts through the figure. The shape and size of the cross section depends on where the plane slices the figure.
When the plane intersects a rectangular prism at a right angle, another rectangle is created.
When the plane intersects a rectangular prism at an angle, it will create a quadrilateral, but not necessarily a rectangle.
Name the shape that is created by the cross-section.
Question 1.
a.
Answer:
Square or Rectangle.
Explanation:
We know that,
A cross section of a 3-dimensional figure is the place where a plane cuts through the figure. The shape and size of the cross section depends on where the plane slices the figure.
When the plane intersects a rectangular prism at a right angle, another rectangle or square is created.
b.
Answer:
Rectangle.
Explanation:
We know that,
A cross section of a 3-dimensional figure is the place where a plane cuts through the figure. The shape and size of the cross section depends on where the plane slices the figure.
When the plane intersects a rectangular prism at a right angle, another rectangle is created.
Question 2.
a.
Answer:
Quadrilateral.
Explanation:
We know that,
A cross section of a 3-dimensional figure is the place where a plane cuts through the figure. The shape and size of the cross section depends on where the plane slices the figure.
When the plane intersects a rectangular prism at an angle, it will create a quadrilateral.
b.
Answer:
Rectangle.
Explanation:
We know that,
A cross section of a 3-dimensional figure is the place where a plane cuts through the figure. The shape and size of the cross section depends on where the plane slices the figure.
When the plane intersects a rectangular prism at a right angle, another rectangle is created.
Question 3.
a.
Answer:
Square or Rectangle.
Explanation:
We know that,
A cross section of a 3-dimensional figure is the place where a plane cuts through the figure. The shape and size of the cross section depends on where the plane slices the figure.
When the plane intersects a rectangular prism at a right angle, another rectangle or square is created.
b.
Answer:
Quadrilateral.
Explanation:
We know that,
A cross section of a 3-dimensional figure is the place where a plane cuts through the figure. The shape and size of the cross section depends on where the plane slices the figure.
When the plane intersects a rectangular prism at an angle, it will create a quadrilateral.
When the plane intersects a square pyramid parallel to the base, a square is created.
When the plane intersects a square pyramid at a 90° angle to the base, a triangle is created.
Tell what shape is created by the cross-section.
Question 1.
a.
Answer:
Triangle.
Explanation:
We know that,
A cross section of a 3-dimensional figure is the place where a plane cuts through the figure. The shape and size of the cross section depends on where the plane slices the figure.
When the plane intersects a square pyramid at a 90° angle to the base, a triangle is created.
b.
Answer:
Quadrilateral.
Explanation:
We know that,
A cross section of a 3-dimensional figure is the place where a plane cuts through the figure. The shape and size of the cross section depends on where the plane slices the figure.
A triangular pyramid cut by a plane that intersects the base and all three lateral faces,
the cross section so formed will be a quadrilateral.
Question 2.
a.
Answer:
Quadrilateral.
Explanation:
We know that,
A cross section of a 3-dimensional figure is the place where a plane cuts through the figure. The shape and size of the cross section depends on where the plane slices the figure.
A triangular pyramid cut by a plane that intersects the base and all three lateral faces,
the cross section so formed will be a quadrilateral.
b.
Answer:
Triangle.
Explanation:
We know that,
A cross section of a 3-dimensional figure is the place where a plane cuts through the figure. The shape and size of the cross section depends on where the plane slices the figure.
When the plane intersects a square pyramid at a 90° angle to the base, a triangle is created.
Question 3.
a.
Answer:
Triangle.
Explanation:
We know that,
A cross section of a 3-dimensional figure is the place where a plane cuts through the figure. The shape and size of the cross section depends on where the plane slices the figure.
When the plane intersects a square pyramid at a 90° angle to the base, a triangle is created.
b.
Answer:
Triangle.
Explanation:
We know that,
A cross section of a 3-dimensional figure is the place where a plane cuts through the figure. The shape and size of the cross section depends on where the plane slices the figure.
When the plane intersects a square pyramid at a 90° angle to the base, a triangle is created.