Medium - Quiz 1

Apply area and volume formulas to multi-step problems involving real-world contexts and composite figures.

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Question 1

A rectangular garden measures 12 feet by 8 feet. A gravel walkway of uniform width surrounds the garden. If the total area of the walkway alone is 128 square feet, what is the width, in feet, of the walkway?

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A cylindrical water tank has a radius of 5 feet and a height of 10 feet. Water fills the tank to 60% of its capacity. What is the volume, in cubic feet, of the water in the tank?

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A scientist stores a chemical sample in a cone-shaped container with a radius of 3 centimeters and a height of 7 centimeters. She needs to transfer the full contents into a cylindrical vial with a radius of 3 centimeters. What is the minimum height, in centimeters, of the cylindrical vial needed to hold all of the sample?

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A shipping company designs a box in the shape of a rectangular prism. The length of the box is twice the width, and the height is 4 inches. If the total surface area of the box is 148 square inches, what is the width, in inches, of the box?

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A city park has a circular fountain with a diameter of 20 feet. A brick border 2 feet wide is built around the outside of the fountain. What is the area, in square feet, of the brick border?

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