The power to which the unit of surface area is raised is 2, while the unit
of a volume is raised linear unit raised to the power of 3.
Response:
- Theo correctly found the surface area but made a mistake finding the volume.
Which method can be used for finding the volume and surface area?
The given parameter are;
Dimensions of the prism;
Length, l = 8 inches
Height, h = 7 inches
Width, w = 5 inches
Surface area of a rectangular prism, A = 2 × (l·w + h·l + h·w)
Which gives;
A = 2 × (8 × 5 + 7 × 8 + 7 × 5) = 262
The surface area of the prism, A = 262 in.²
The volume of a rectangular prism, V = l·w·h
Which gives;
- V = 8 in. × 5 in. × 7 in. = 280 in.³
However, what is written is 7 × 8 × 5 = 280 in.²
- The mistake is in the power of the unit, which is supposed to be 3 rather than 2
Therefore;
- Theo correctly found the surface area but made a mistake finding the volume.
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