Question

Cube A has an edge length of x inches. Cube B has an edge length of 2x inches. How many times greater is the volume of Cube B than the volume of Cube A?

Answer 1

Answer:

8 times.

Step-by-step explanation:

We know that,

Volume of a cube = side³,

Thus, the volume of the cube having side x = $(x)^3$ = $x^3$,

Also, the volume of the cube having side 2x = $(2x)^3$ = $8x^3$,

$\because \frac{\text{Volume of cube B}}{\text{Volume of cube A}}=\frac{8x^3}{x^3}$

$=8$

$\implies \text{Volume of cube B}=8\times \text{Volume of cube A}$

Hence, the volume of cube B is 8 times of the volume of cube A.

Answer 2

The volume of Cube B is 8 times greater than the volume of Cube A.

Further Explanation:

Volume

• Volume refers to the space occupied by a solid. Volume can be calculated for three dimension shapes such as cylinder, cube cuboid, pyramid, cone, sphere, etc.
• The volume of a regular substances depends on the shape of the solid.

For example;

• Volume of a cuboid = l×w×h
• Volume of a cylinder = πr²h
• Volume of a sphere = 4/3πr³, etc.

Cube

• A cube is 3-dimension solid whose edges and faces are congruent.
• The volume of a cube is given by the formula;

Volume = s³; where s is the side of the cube

In this case;

We are given Cube A whose length is x inches and Cube B whose length is 2x inches.

Therefore;

Volume of Cube A = s³

                               = x × x × x

                              = x³ cubic inches

Volume of Cube B = s³

                               = 2x × 2x × 2x

                               = 8x³ Cubic Inches

Comparing the volume of Cube A and Cube B

= 8x³ cubic inches ÷ x³ cubic inches

= 8

Therefore;

the volume of Cube B is 8 times greater than the volume of Cube A

Keywords: Volume, Cube, Volume of a cube

Learn more about:

• Volume: brainly.com/question/898827
• Volume of a cube: brainly.com/question/3181433

Level: High school

Subject: Mathematics

Topic: Volume of solids

Sub-topic: Volume of a cube