Question

The length of the edge of a cube is 8.2 cm. Label an edge length on the diagram and then find both the surface area and volume of the cube showing all work neatly and completely. Round to the nearest hundredth if necessary.

Answer 1

surface area:
6x^2
=403.44cm^2
volume:
x^3
=551.37cm^3 

Answer 2

General Idea:

$\; If \; 'a' \; is \; side \; length \; of \; cube \; then, \\\\Surface \; Area \; of \; Cube = 6a^2\\\\Volume \; of \; the \; Cube = a^3$

Applying the Concept:

Given:

$Side \; length \; (a)\; = \; 8.2 \; cm$

$Surface \; area \; of \; Cube\;  =\; 6(8.2)^2=6(67.24)=403.44\;cm^2\\\\Volume \; of\; the \; Cube = (8.2)^3=551.368 \; cm^3$

Conclusion:

The surface area of the cube rounded to nearest hundredth is 403.44 square centimeters and Volume of the cube rounded to nearest hundredth is 551.37 cubic centimeters.