What is the volume of a cube whose surface area is 294

V = 343unit³

Step-by-step explanation:

This is a solid shape problems a three dimensional.

Surface area of a cube = 6s² and the Volume = s³.

Since the surface area is given to be 294, we now use this to calculate the s.

Now,

6s² = 294, now solve for s

s² = 294/6

= 49

s² = 49

Now, to find s, we recalled the laws of indices by taking the square root of both sides

√s² = +/- √49

s. = +/-7unit.

Now to find the volume of the cube, where

V = s³ and s = 7, therefore

V = 7³

= 343unit³

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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