Rectangular Solids
A rectangular solid is a 6-sided prism where all 6 faces are rectangles.
Volume (V) is the amount of space a three-dimensional (3-D) figure occupies. Volume is expressed in cubed units such as mm3, yd3, or ft3. The volume formula for rectangular solids is Volume = Length × Width × Height.
Surface area (S) is the sum of the areas of all the faces, or surfaces, of a three-dimensional (3-D) figure. Surface area is expressed in squared units such as m2, cm2, or mi2. The surface area formula for rectangular solids is Surface area = Sum of the area of all 6 sides.
Example 1:
Find the surface area and volume. Answer with proper units. To represent m2, use "sq m". Sample area: 5 sq m. To represent m3, use "cu m"
Surface Area =
Volume =The answer is Surface Area = Volume =
• length = 4 ft, width = 2 ft, height = 7 ft, or
• length = 2 ft, width = 7 ft, height = 4 ft, or
• length = 7 ft, width = 4 ft, height = 2 ft
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