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 nonoverlapping right rectangular prisms, can be found by adding the volumes of the individual prisms. This approach is used to solve realworld problems where composite shapes are involved.
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Question 1 of 10
1. Question
A structure is made of two nonoverlapping 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 nonoverlapping 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 nonoverlapping 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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