Volume of Composite Solids and Dimensional Changes
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Imani Palacio
Used 1+ times
FREE Resource
16 Slides • 17 Questions
1
2
Multiple Choice
Which of the following is a correct method to find the volume of a composite figure made of two rectangular prisms?
Add the volumes of both prisms together.
Multiply the volumes of both prisms.
Subtract the smaller volume from the larger one.
Divide the total surface area by the height.
3
Open Ended
Why is it important to understand how to find the volume of composite solids in real-life situations?
4
5
6
7
8
9
10
Fill in the Blanks
The formula for the volume of a sphere is V =
11
Multiple Select
Which of the following solids use the formula V = 1/3 Bh for their volume?
Prisms
Pyramids
Cylinders
Cones
12
13
Math Response
Find the volume of the solid.
14
15
Math Response
Find the volume of the solid.
16
17
18
Math Response
A cylindrical rod for irrigation systems is hollow inside as shown. What is the volume of the cylindrical rod?
19
20
21
22
Multiple Choice
If the dimensions of a solid are doubled, by what factor does its volume increase?
2
4
6
8
23
Fill in the Blanks
The scale factor used to calculate the change in volume when all dimensions are multiplied by the same number is raised to the power of
24
Multiple Choice
If the dimensions of a figure are multiplied by 4, how many times larger will the volume be?
8 times larger
16 times larger
64 times larger
256 times larger
25
26
Multiple Choice
Given a rectangular prism with dimensions 6 in by 2 in by 4 in, if you double the length and width only, what will be the ratio of the new volume to the original volume?
2:1
3:1
4:1
8:1
27
Multiple Choice
If the height of a cylinder is doubled while keeping the base area the same, how does the volume change?
It doubles
It triples
It stays the same
It is cut in half
28
Open Ended
Explain how changing only one dimension versus two dimensions of a rectangular prism affects its volume. Use examples from the images to support your answer.
29
Multiple Choice
If the radius of a cylinder is multiplied by 4, how many times larger will the volume be compared to the original?
4 times larger
8 times larger
12 times larger
16 times larger
30
Multiple Choice
Pyramid A is similar to pyramid B. If the volume of pyramid A is 21 in³ and the volume of pyramid B is 1,344 in³, which of the following is true about the two pyramids?
Pyramid B is 3 times larger than pyramid A.
Pyramid B is 4 times larger than pyramid A.
Pyramid B is 16 times larger than pyramid A.
Pyramid B is 64 times larger than pyramid A.
31
Open Ended
Explain the importance of using appropriate units when solving volume problems for different three-dimensional shapes.
32
Multiple Choice
Which formulas should students apply to solve problems involving the volume of three-dimensional shapes such as prisms, pyramids, cones, cylinders, and spheres?
Formulas for area of 2D shapes
Formulas for volume of 3D shapes
Formulas for perimeter
Formulas for surface area
33
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