Question

the total surface area of acube is 294 cm square. work out the volume of the cube

Answer 1

Step-by-step explanation:

TSA of cube = 6 × side²

294 = 6 × side ²

side = 7 cm

Volume = side³

= 7³

= 343 cm³

#answerwithquality #BAL

Answer 2

Answer:

First find the length of one edge of the cube. We'll call this s.

The surface area of a cube which has 6 square faces, and the area of each face is s%5E2, is:

A%5Bs%5D+=+6%2As%5E2 and this is given as 294, so...

294+=+6%2As%5E2 Divide both sides by 6.

49+=+s%5E2 Take the square root of both sides.

s+=+7 or s+=+-7 We'll discard the negative solution as the length is a positive quantity.

Now we have the length of one edge of the cube, we can find the cube's volume by:

V+=+s%5E3

V+=+7%5E3