Question

If the cube has a volume of approximately 561.5 cm, what is the approximate area of the cross-section shown?

A)64
B)68
C)72
D)78

Answer 1

The area of the cross section of the cube is 68 cm

Explanation:

Volume of the cube is
`a^(3)`

`a^(3)`
`=` 561·5 cm
`(` Given
`)`

a
`=` edge or side of the cube

so, cube root on both the side will be

a
`=` 8·25 cm

Cross section area of the cube is it depends where you cut the cube if cut the cube parallel and perpendicular to the faces then the cross sectional area will be a square whose length is the same as the length of the cube

Cross section area of the cube
`=`
`a^(2)`

`=`
`(8.25)^(2)` cm

`=` 68 cm

Therefore , the area of the cross section of the cube is 68 cm