# 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 cm^{2}.

**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 cm^{3} 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 cm^{3}, 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 cm^{2}. 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 m^{3} of water fills it completely, determine its depth.

**Q9: **

Find the width of a rectangular prism that has a volume of 39 008 cm^{3}, 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 cm^{3},
a width of 11 cm,
and a height of 19 cm.