Total and Lateral Surface Area of a Rectangular Prism

Mr. Sanchez wants to paint his storage shed. He needs to calculate the lateral surface area of the shed so that he will know how much paint to buy. The shed is in the shape of a rectangular prism with the decisions shown. Including the doors, what is the lateral surface area of the storage shed in square feet?

• 784 ft²

• 266 ft²

• 532 ft²

• 336 ft²

Josie covered the outside of a gift box shaped like a rectangular prism with paper. The box is 3.2 feet long, 2.1 feet wide, and 2.7 feet high. Which of the following is the closet to the total surface area of this box?

• 34 ft²

• 42 ft²

• 30 ft²

• 18 ft²

Which equation do you use to determine the Total Surface Area of a Rectangular Prism?

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In the equation shown, what does "P" stand for?

• Perimeter

• Prism

• Perimeter of the Base

• Pyramid

Find the surface area of the rectangular prism.

• 140 in.²

• 83 in.²

• 166 in. ²

• 100 in.²

What are you being asked to solve for in the question shown?

• The volume of the box.

• The area of the base of the box.

• The lateral surface area of the box.

• The total surface area of the box.

What is surface area?

• The amount you can put inside an object.

• the sum of all the areas of all the shapes that cover the surface of the object.

• The distance around a figure.

• The inside space taken by a two-dimensional figure.

What are the sum of the area of the faces of a three-dimensional figure?

• lateral surface area

• total surface area

• surface area of the bases

• volume

What does P stand for in the surface area formula

SA=Ph + 2B?

• Pound

• Principal

• Percent of the base

• Perimeter of the base

A rectangular prism and its dimensions are shown in the diagram. What is the total surface area of this rectangular prism in square inches? Record your answer in the space provided.

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Answer explanation

To find the total surface area of a rectangular prism, use the formula: 2(lw + lh + wh). Substitute the dimensions from the diagram into the formula to calculate the total surface area in square inches.