Math Grade 5 Quiz Additive Volume of Composed Figures – 5.MD.C.5.C
In this students learn to view volume as an additive property. This concept helps them understand that the volume of a solid figure, which may be composed of two or more non-overlapping right rectangular prisms, can be found by adding the volumes of the individual prisms. This approach is used to solve real-world problems where composite shapes are involved.
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Question 1 of 10
1. Question
A structure is made of two non-overlapping right rectangular prisms. The first prism has a volume of 45 units³, and the second has a volume of 30 units³. What is the total volume of the structure?
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Question 2 of 10
2. Question
A swimming pool is divided into two rectangular sections. If one section has a volume of 2000 units³ and the other has a volume of 3000 units³, what is the total volume of the pool?
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Question 3 of 10
3. Question
An aquarium consists of two rectangular tanks, one smaller atop the other. The larger tank has a volume of 150 units³, and the smaller has a volume of 50 units³. What is the combined volume?
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Question 4 of 10
4. Question
Two non-overlapping boxes are put together to form a larger box. If the first box has a volume of 48 units³ and the second box has a volume of 72 units³, what is the total volume?
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Question 5 of 10
5. Question
A toy is made from two cubes joined together. If one cube has a volume of 64 units³ and the other cube has a volume of 27 units³, what is the total volume of the toy?
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Question 6 of 10
6. Question
A building is composed of two parts: a main lobby and an annex. If the main lobby has a volume of 500 units³ and the annex has a volume of 250 units³, what is the total volume of the building?
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Question 7 of 10
7. Question
Find the total volume of a solid composed of two non-overlapping right rectangular prisms, where one has a volume of 120 units³ and the other has a volume of 180 units³.
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Question 8 of 10
8. Question
A model is constructed from two prisms — one has a volume of 80 units³, and the other has a volume of 160 units³. What is the volume of the model?
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Question 9 of 10
9. Question
If a composite solid is made from two right rectangular prisms, with volumes of 132 units³ and 168 units³ respectively, what is the volume of the solid?
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Question 10 of 10
10. Question
A play structure is built from two parts, each in the shape of a right rectangular prism. The first part has a volume of 225 units³, and the second part has a volume of 175 units³. What is the total volume of the play structure?
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