U5L2 Slicing Solids

U5L2 Slicing Solids

9th - 12th Grade

18 Qs

quiz-placeholder

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U5L2 Slicing Solids

U5L2 Slicing Solids

Assessment

Quiz

Mathematics

9th - 12th Grade

Medium

Created by

Maria Cruz Farooqi

Used 1+ times

FREE Resource

18 questions

Show all answers

1.

DROPDOWN QUESTION

1 min • 1 pt

Media Image

When a plane intersects a square pyramid parallel to its base, the resulting cross section is a​ (a)   that ​ (b)   . Since the base of a square pyramid is a ​ (c)   , the cross section will also be a square. This occurs because the plane cuts through the pyramid at a level ​ (d)   to the base, maintaining the same proportions and angles. Therefore, the cross section retains the characteristics of a square, with four equal sides and four right angles. Understanding this concept helps in visualizing how three-dimensional shapes can be sliced to ​ (e)   figures.

two-dimensional shape
mirrors the shape of the base
square
parallel
reveal two-dimensional

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Circle

Square

Triangle

Pentagon

3.

DROPDOWN QUESTION

1 min • 1 pt

Media Image

When a square pyramid is intersected by a plane passing through its vertex and ​ (a)   the resulting cross section is a ​ (b)   . This is because the plane slices through the apex of the pyramid and extends down to the base, cutting through two opposite edges of the square base. The ​ (c)   formed has its vertex at the ​ (d)   and its base along the line where the plane intersects the square base. The sides of the triangle are formed by the slant heights of the pyramid, making it an isosceles triangle if the pyramid is ​ (e)   .

perpendicular to its base,
triangle
apex of the pyramid
regular

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

square

triangle

pentagon

rectangle

5.

DRAG AND DROP QUESTION

1 min • 1 pt

Media Image

When a right cylinder is cut perpendicular to its base, the resulting cross section is a ​ (a)   . This is because the cut is made ​ (b)   to the circular base, slicing through the cylinder's ​ (c)   . The length of the rectangle is equal to the diameter of the cylinder's base, and the width is equal to the height of the cylinder. This geometric property is important in understanding how three-dimensional shapes can be ​ (d)   into two-dimensional shapes through cross sections.

at a right angle
rectangle
height
transformed

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

circle

cylinder

rectangle

triangular prism

7.

DROPDOWN QUESTION

1 min • 1 pt

Media Image

When a right cylinder is cut parallel to its base, the resulting cross section is a ​ (a)   . This is because the ​ base of a right cylinder is a ​ (b)   , and slicing it parallel to this base means the cut is made at a constant height, maintaining the circular shape. The size of the circle depends on the distance from the base where the cut is made, but the ​ (c)   unchanged. This concept is important in geometry as it helps in understanding the properties of three-dimensional shapes and their​ (d)   .

circle
shape remains
two-dimensional cross sections

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