Exam: Skill #79- Calculate The Surface Area Of A Rectangular Prism

1. Calculate the SURFACE AREA of a cube with dimensions that are 4 inches long, 4 inches wide and 4 inches tall.

The surface area of a cube can be calculated by finding the area of each face and adding them together. Since all sides of a cube are equal, the area of each face is equal to the length of one side squared. In this case, the length of each side is 4 inches, so the area of each face is 4^2 = 16 square inches. Since a cube has 6 faces, the total surface area is 6 * 16 = 96 square inches.

Explanation

The surface area of a cube can be calculated by finding the area of each face and adding them together. Since all sides of a cube are equal, the area of each face is equal to the length of one side squared. In this case, the length of each side is 4 inches, so the area of each face is 4^2 = 16 square inches. Since a cube has 6 faces, the total surface area is 6 * 16 = 96 square inches.

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3. Select all the faces of a rectangular prism

Left

Bottom

Over

Back

Under

Front

Below

Right

Top

The correct answer is a selection of faces that includes the left, bottom, back, front, right, and top faces of a rectangular prism. These faces represent the six sides of the prism and are the ones that are visible when looking at it from different angles. The "below" and "over" options are not included because they do not represent specific faces of the prism.

Explanation

The correct answer is a selection of faces that includes the left, bottom, back, front, right, and top faces of a rectangular prism. These faces represent the six sides of the prism and are the ones that are visible when looking at it from different angles. The "below" and "over" options are not included because they do not represent specific faces of the prism.

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5. A rectangular prism has four surfaces that each has an area of 8 ft² and two sides that have an area of 12 ft². What is the total surface area?

The total surface area of a rectangular prism is found by adding up the areas of all its surfaces. In this case, there are four surfaces with an area of 8 ft² each, and two surfaces with an area of 12 ft² each. To find the total surface area, we add up these areas: 4 * 8 ft² + 2 * 12 ft² = 32 ft² + 24 ft² = 56 ft². Therefore, the correct answer is 56 square feet.

Explanation

The total surface area of a rectangular prism is found by adding up the areas of all its surfaces. In this case, there are four surfaces with an area of 8 ft² each, and two surfaces with an area of 12 ft² each. To find the total surface area, we add up these areas: 4 * 8 ft² + 2 * 12 ft² = 32 ft² + 24 ft² = 56 ft². Therefore, the correct answer is 56 square feet.

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