Lesson Worksheet: Using a Formula to Find Volume Mathematics
In this worksheet, we will practice solving word problems about comparing volumes and finding a missing dimension on a rectangular prism, given its volume.
Q1:
Find the width of a rectangular prism whose length is 46 cm, height is 15 cm, and base area is 1 380 cm2.
Q2:
Consider a rectangular prism of dimensions 8, 9, and 1 and a rectangular prism whose base is 7 and height is 8. Which is greater in volume?
- AThe second rectangular prism
- BThe first rectangular prism
Q3:
Fill in the blank: If the volume of a rectangular prism is 26 and its base is 2, then its height is .
Q4:
Consider the following table with missing values.
| Length of a Rectangular Prism | Width of a Rectangular Prism | Height of a Rectangular Prism | Volume of a Rectangular Prism |
|---|---|---|---|
| 5 | 2 | 7 | |
| 3 | 2 | 60 |
Fill in the blanks: The missing volume is and the missing length is .
- A2, 60
- B10, 10
- C70, 70
- D70, 10
- E10, 70
Q5:
Given that 405 cm3 of water is poured into a rectangular-prism-shaped vessel with a square base whose side length is 9 cm, find the height of the water in the vessel.
Q6:
A rectangular prism has a height of 4 cm and a square base. Given that the volume of the rectangular prism is 324 cm3, find the length of the base.
Q7:
A rectangular prism has dimensions of 9 cm, 20 cm, and 7 cm. A second rectangular prism has a height of 16 cm and a base with area 60 cm2. Find the difference between the volumes of the two rectangular prisms.
Q8:
A rectangular-prism-shaped swimming pool has a base of length 64 m and a width of 56 m. If 28 672 m3 of water fills it completely, determine its depth.
Q9:
Find the width of a rectangular prism that has a volume of 39 008 cm3, a length of 53 cm, and a height of 23 cm.
Q10:
Find the length of a rectangular prism that has a volume of 10 868 cm3, a width of 11 cm, and a height of 19 cm.
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