Question

Jenna has a cube with a volume of 5 cubic inches. If each dimension of the cube is tripled , what will be the volume of the enlarged cube?

Answer 1

Answer:

• 135 in³

Step-by-step explanation:

If the side of the cube is s and volume is 5 and you triple the side then:

• V₁ = s³ = 5

The enlarged cube has the volume:

• V₂ = (3s)³ = 3³*s³= 27s³ = 27*5 = 135 in³

Answer 2

$\\ \sf\longmapsto V=5in^3$

$\\ \sf\longmapsto side^3=5$

$\\ \sf\longmapsto side=\sqrt[3]{5}$

$\\ \sf\longmapsto side=2.2in$

Side gets tripled

• New side=2.2(3)=6.6in

$\\ \sf\longmapsto Volume=6.6^3$

$\\ \sf\longmapsto Volume=287.4in^3$