3. Geometry
Area Volume — Quiz
Test your understanding of area volume with 5 practice questions.
Practice Questions
Question 1
A rectangular prism has a length of $10 \text{ cm}$, a width of $5 \text{ cm}$, and a height of $3 \text{ cm}$. If the length is increased by $20\%$ and the width is decreased by $10\%$ while the height remains constant, what is the new volume of the prism?
Question 2
A cylindrical tank has a radius of $4 \text{ meters}$ and a height of $7 \text{ meters}$. If the tank is filled with water at a rate of $10 \text{ m}^3/\text{minute}$, how long will it take to fill the tank completely? Use $ \pi \approx 3.14$.
Question 3
A sphere has a surface area of $144\pi \text{ cm}^2$. What is its volume?
Question 4
A composite solid is formed by a cylinder with a radius of $3 \text{ cm}$ and a height of $10 \text{ cm}$, and a hemisphere placed on top of it with the same radius. What is the total volume of the composite solid? Use $ \pi \approx 3.14$.
Question 5
A square pyramid has a base side length of $8 \text{ cm}$ and a slant height of $5 \text{ cm}$. What is its total surface area?