Question

what is the volume of the figure? a 5×2×8×10 b 5×2×8 c 2×10×8 d 10×5×8

Explanation:

Step1: Recall volume formula for rectangular - prism

The volume formula for a rectangular - prism is $V = l\times w\times h$, where $l$ is the length, $w$ is the width, and $h$ is the height.

Step2: Identify dimensions

Assume the length $l = 10$, the width $w = 5$, and the height $h = 2$. Then $V=10\times5\times2$. If we assume different order of the dimensions, the volume formula still holds. Looking at the options, the correct formula for the volume of a rectangular - prism with appropriate dimensions is $V = 10\times5\times2$ (or any permutation of the three non - zero side lengths). Among the given options, the correct one for the volume of a rectangular prism with side lengths 2, 5 and 10 is $10\times5\times2$ (assuming the values are the length, width and height of the prism respectively).

Answer:

D. $10\times5\times2$