Estimating Surface Areas: Fun with Rectangular Prisms

A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 4 cm. What is the surface area of the prism? Estimate your answer to the nearest ten square centimeters.

• 90

• 80

• 100

• 70

A box is shaped like a rectangular prism with a length of 10 inches, a width of 6 inches, and a height of 2 inches. How much wrapping paper is needed to cover the entire box?

• 200 square inches

• 184 square inches

• 150 square inches

• 120 square inches

If a rectangular prism has a surface area of 150 square meters and a height of 5 meters, what could be the possible dimensions of the base?

• l = 15 m and w = 2 m

• l = 8 m and w = 7 m

• l = 12 m and w = 3 m

• Possible dimensions of the base could be l = 10 m and w = 5 m.

A fish tank is a rectangular prism that measures 24 inches long, 12 inches wide, and 15 inches high. Calculate the surface area of the tank. Round your answer to the nearest whole number.

• 1656

• 1200

• 1800

• 1440

A storage box has a length of 8 feet, a width of 4 feet, and a height of 3 feet. If you want to paint the outside of the box, how much paint will you need if one gallon covers 100 square feet?

• 3 gallons

• 1 gallon

• 2 gallons

• 4 gallons

You have a rectangular prism-shaped cake that is 10 inches long, 5 inches wide, and 3 inches high. What is the surface area of the cake?

• 200 square inches

• 190 square inches

• 150 square inches

• 180 square inches

A shipping box is a rectangular prism with dimensions 12 cm by 8 cm by 5 cm. If you want to cover the box with a label, what is the total area of the label needed?

• 392 cm²

• 250 cm²

• 450 cm²

• 300 cm²

A rectangular prism has a length of 7 m, a width of 3 m, and a height of 2 m. If you want to build a fence around the top of the prism, what is the surface area you need to cover?

• 24 m²

• 18 m²

• 21 m²

• 14 m²

A rectangular prism aquarium has a length of 30 cm, a width of 15 cm, and a height of 20 cm. What is the surface area of the aquarium?

• 2700 cm²

• 2400 cm²

• 3600 cm²

• 1500 cm²

If a rectangular prism has a surface area of 200 square feet and the length is twice the width, what are the possible dimensions of the prism?

• Possible dimensions are (2w, w, h) where h = (200 - 4w^2) / (2w) for w > 0.

• Possible dimensions are (w, 3w, h) where h = (200 - 6w^2) / (3w) for w > 0.

• Possible dimensions are (w, 2w, h) where h = (100 - 2w^2) / (3w) for w > 0.

• Possible dimensions are (w, w, 2h) where h = (200 - 2w^2) / (w) for w > 0.