Respuesta :
Answer:
8 times.
Step-by-step explanation:
We know that,
Volume of a cube = side³,
Thus, the volume of the cube having side x = [tex](x)^3[/tex] = [tex]x^3[/tex],
Also, the volume of the cube having side 2x = [tex](2x)^3[/tex] = [tex]8x^3[/tex],
[tex]\because \frac{\text{Volume of cube B}}{\text{Volume of cube A}}=\frac{8x^3}{x^3}[/tex]
[tex]=8[/tex]
[tex]\implies \text{Volume of cube B}=8\times \text{Volume of cube A}[/tex]
Hence, the volume of cube B is 8 times of the volume of cube A.
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: https://brainly.com/question/898827
- Volume of a cube: https://brainly.com/question/3181433
Level: High school
Subject: Mathematics
Topic: Volume of solids
Sub-topic: Volume of a cube
