Surface Area Challenges: Estimating & Converting Units

A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 4 cm. What is its surface area in square centimeters?

• 60 cm²

• 100 cm²

• 94 cm²

• 80 cm²

If a box has a surface area of 150 square inches and its height is 5 inches, what are the possible dimensions of the base?

• Dimensions must be equal, l = w = 10 inches

• Possible dimensions of the base (l, w) can be found by solving the equation lw + 5l + 5w = 75 for positive values of l and w.

• The height must be included in the base area calculation

• The base dimensions cannot exceed 30 inches each

A storage container is shaped like a rectangular prism with dimensions 2 m by 3 m by 4 m. Convert the dimensions to centimeters and calculate the surface area.

• 520000 cm²

• 52000 cm²

• 480000 cm²

• 600000 cm²

You have a rectangular prism that is 10 feet long, 6 feet wide, and 2 feet high. Estimate the surface area to the nearest square foot.

• 120

• 184

• 200

• 150

A fish tank is a rectangular prism measuring 1.2 m long, 0.5 m wide, and 0.6 m high. What is the surface area in square meters?

• 4.8 m²

• 3.0 m²

• 2.4 m²

• 3.24 m²

A rectangular prism has a length of 8 inches, a width of 4 inches, and a height of 3 inches. If you want to paint the outside, how much paint will you need if 1 can covers 50 square feet?

• 0.0189 cans of paint

• 1 can of paint

• 0.5 cans of paint

• 0.1 cans of paint

A rectangular box has a surface area of 200 square centimeters. If the length is 10 cm and the width is 5 cm, what is the height of the box?

• 4 cm

• 5.5 cm

• 2 cm

• 3.33 cm

Estimate the surface area of a rectangular prism with dimensions 12 cm, 8 cm, and 5 cm. Round your answer to the nearest ten square centimeters.

• 390 cm²

• 300 cm²

• 400 cm²

• 350 cm²

A delivery box is a rectangular prism with dimensions 24 inches by 18 inches by 12 inches. What is the surface area in square inches?

• 1800 square inches

• 1500 square inches

• 2000 square inches

• 1872 square inches

If a rectangular prism has a surface area of 300 square meters and the height is 10 meters, what are the possible dimensions of the base?

• (25, 0)

• (0, 30)

• (20, 5)

• Possible dimensions of the base (l, w) can be found by solving the equation lw + 10l + 10w = 150, such as (5, 15), (10, 10), (15, 5), etc.