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Lesson: Geometry Challenging - 17t01

Rectangular Boxes

[Page 17 of 32]

A rectangular box is a solid with six rectangular faces. All of its angles are right angles.

The volume of a rectangular box is equal to its length times width times height.

Total surface area is the sum of the areas of each of the 6 sides. Since each side will have the same area as the one opposite it, we can find the surface area of each of the three visible sides, double them to account for the sides we can't see, and then add them.

Task: If a rectangular solid has a length of 6, a width of 4, and a height of 3, what is its total surface area? Type your answer into the text box and then click Continue.

Surface Area = 108

To find the total surface area, take the area of each of the visible sides, double them to account for the opposite sides which cannot be seen, and then add them.

Side one is 6 × 3, side two is 4 × 3, and side three is 6 × 4, so doubling each side and adding gives us a surface area of: 2(6)(3) + 2(4)(3) + 2(6)(4) = 108.

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