A rectangular prism has a base area of $20 \text{ m}^2$ and a height of $4 \text{ m}$. A triangular prism has the same base area and height. How do their volumes compare?

The rectangular prism's volume is larger.

The triangular prism's volume is larger.

There is not enough information to compare them.

Volume of Prisms and Cylinders Practice — Grade 7 math

Lesson 4: Volume of Prisms and Cylinders — Practice Questions

1. A prism has a base area of $15 \text{ in}^2$ and a height of $5 \text{ in}$. What is its volume in cubic inches? ___
2. A rectangular prism has a base area of $20 \text{ m}^2$ and a height of $4 \text{ m}$. A triangular prism has the same base area and height. How do their volumes compare?
- A. The rectangular prism's volume is larger.
- B. The triangular prism's volume is larger.
- C. Their volumes are equal.
- D. There is not enough information to compare them.
3. A pentagonal prism has a volume of $120 \text{ cm}^3$ and a base area of $24 \text{ cm}^2$. What is the height of the prism in centimeters? ___
4. If the height of a prism is doubled while its base area remains the same, what is the effect on its volume?
- A. The volume is halved.
- B. The volume remains the same.
- C. The volume is doubled.
- D. The volume is quadrupled.
5. The volume of an octagonal prism is $96 \text{ cubic feet}$ and its height is $8 \text{ feet}$. What is the area of its base in square feet? ___
6. A cylindrical soup can has a diameter of 8 cm and is filled with soup to a height of 10 cm. What is the volume of the soup in cubic centimeters? Express your answer in terms of $\pi$. The volume is ___ cm$^3$.
7. A cylindrical water tank has a radius of 2 meters and a height of 5 meters. If the tank is one-fourth full of water, what is the volume of the water in the tank?
- A. $20\pi \text{ m}^3$
- B. $10\pi \text{ m}^3$
- C. $5\pi \text{ m}^3$
- D. $2.5\pi \text{ m}^3$
8. A full cylindrical drum has a radius of 1 ft and a height of 3 ft. Using $1 \text{ ft}^3 \approx 7.48$ gal and $\pi \approx 3.14$, find the volume in gallons, rounded to the nearest whole number. The volume is ___ gallons.
9. A cylindrical glass is partially filled with water. To find the volume of the water inside, which measurement is needed in addition to the radius of the glass?
- A. The total height of the glass
- B. The height of the water in the glass
- C. The circumference of the glass
- D. The weight of the glass
10. A cylindrical grain silo has a diameter of 20 ft and a height of 50 ft. If it is filled to $\frac{3}{5}$ of its capacity, what is the volume of the grain in cubic feet? Express your answer in terms of $\pi$. The volume is ___ ft$^3$.