3D Volume and Surface Worksheets Grade 7

1. Aisha is designing a rectangular prism-shaped shipping container for her family's business. The container needs to hold exactly 24,000 cubic centimeters of cargo. If the length of the container is 40 cm and the width is 20 cm, what must be the height of the container in centimeters?
2. Aisha is designing a rectangular prism-shaped shipping container for her family's business. The container needs to hold exactly 24,000 liters of cargo. If the container's length is 4 meters and width is 2.5 meters, what is the height of the container in meters? (Remember: 1 cubic meter = 1000 liters)
3. Kaia is designing a cylindrical compost bin for her community garden. The bin must have a volume of exactly 18,000π cubic centimeters and a height of 45 centimeters. To purchase the right amount of weatherproof paint, Kaia needs to know the total surface area of the closed cylindrical bin (including the top and bottom). What is the surface area of the bin in square centimeters? Use π in your answer.

…and 2 more problems

1. Mere is building a cylindrical compost bin for her garden. The bin has a radius of 35 cm and a height of 90 cm. She needs to know how much compost the bin can hold (the volume) and how much material she needs to cover the entire outside surface of the bin (the surface area). Find the volume and the total surface area of the cylindrical bin. Use π ≈ 3.14 and round your final answers to the nearest whole number.
2. A rectangular prism has dimensions 33 cm × 21 cm × 15 cm. Calculate its volume and total surface area. (Format: Volume = ? cm³, Surface Area = ? cm²)
3. A rectangular prism has dimensions 15 cm × 10 cm × 20 cm. Calculate its volume and total surface area. (Format: Volume, Surface Area)

1. Aisha is building a rectangular prism-shaped planter box for her school garden. The box needs to hold 12,000 cubic centimeters of soil. If the length is 40 cm and the width is 25 cm, what height should Aisha make the planter box?
2. A rectangular prism has dimensions 35 cm × 25 cm × 20 cm. Calculate its volume and total surface area. (Format: Volume = ? cm³, Surface Area = ? cm²)
3. A rectangular prism has length 15 cm, width 10 cm, and height 8 cm. Calculate its volume and surface area. (Format: Volume = ? cm³, Surface Area = ? cm²)

…and 1 more problems