3D Volume and Surface Worksheets Grade 7

1. Hana is designing a rectangular prism-shaped aquarium with a length of 24 cm, a width of 18 cm, and a height of 12 cm. She wants to cover all six faces with decorative film, then fill the aquarium completely with water. What is the total surface area of the aquarium in square centimeters, and what is its volume in cubic centimeters? Provide your answer as two numbers separated by a comma (e.g., surface area, volume).
2. Charlotte is designing a rectangular prism-shaped aquarium. The aquarium has a length of 9 cm, a width of 8 cm, and a height of 12 cm. She wants to find both the volume of the aquarium (to know how much water it can hold) and the total surface area (to know how much glass is needed to build it, including the top). What are the volume and total surface area of the aquarium? Provide your answer as two numbers separated by a comma: volume, surface area.
3. Liam has a rectangular prism-shaped fish tank with a length of 25 cm, a width of 15 cm, and a height of 20 cm. He wants to know how much water it can hold (the volume) and also needs to buy a decorative film to cover all six faces (the surface area). What are the volume and total surface area of the fish tank?

1. Liam is designing a cylindrical water tank for his school's science project. The tank needs to hold exactly 50,000 cubic centimeters of water. If the height of the tank is 80 centimeters, what must be the radius of the circular base? Use π ≈ 3.14 and round your answer to the nearest tenth of a centimeter.
2. A rectangular prism has dimensions 15 cm × 10 cm × 8 cm. Calculate its volume and total surface area. (Format: Volume = ? cm³, Surface Area = ? cm²)
3. Mere is painting a cylindrical storage tank for her school's art project. The tank has a radius of 14 cm and a height of 30 cm. She needs to know the volume of the tank to fill it with paint, and the surface area to determine how much wrapping paper she needs to cover the entire tank (including the top and bottom). Find both the volume and the total surface area of the cylinder. Use π ≈ 22/7.

…and 2 more problems

1. Emma has a rectangular prism with dimensions 40 cm × 25 cm × 35 cm. Calculate its volume and total surface area. (Format: Volume = ? cm³, Surface Area = ? cm²)
2. A rectangular prism has dimensions 30 cm × 20 cm × 15 cm. Calculate its volume and total surface area. (Format: Volume = ? cm³, Surface Area = ? cm²)
3. Mason is building a rectangular prism-shaped planter box out of concrete. The planter box has a length of 18 inches, a width of 14 inches, and a height of 22 inches. Mason wants to fill the entire box with soil, and then cover the outside surfaces (including the top) with a waterproof sealant. What is the volume of soil needed (in cubic inches), and what is the total surface area that needs sealant (in square inches)?