Question

which has the greater volume: a 4 meter cube or a rectangular solid that that is 8 meters long, 2 meters wide and 2 meters high

Answer 1

Answer:

The cube has the greater volume.

Step-by-step explanation:

The volume of a cube is given as:

$V=x^3$

Where $x$ is the measure of 1 side (all sides of a cube are same)

The volume of a rectangular solid is given as:

$V=l*w*h$

Where $l$ is the length, $w$ is the width, and $h$ is the height.

From the problem,

• Volume of cube = $(4)^{3}=64$ [since each side is given as 4]

• Volume of rectangular solid = $8*2*2=32$ [the length is given as 8, width is 2, and height is 2]

The cube has the greater volume.