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beks73 [17]
4 years ago
8

One cube has an edge length 5 cm shorter than the edge length of the second cube. The volume of the smaller cube is 216 cm?. Wha

t is the volume of the
larger cube?
Mathematics
1 answer:
VLD [36.1K]4 years ago
4 0

Answer:

The volume of the  larger cube is V=1,331\ cm^3

Step-by-step explanation:

Let

x ---> the length of the smaller cube

y ---> the length of the larger cube

we know that

the volume of a cube is equal to

V=b^3

where

b is the length side of the cube

we have

x=y-5 ----> equation A

The volume of the smaller cube is 216 cm^3

so

substitute in the formula of volume

216=x^3

solve for x

x=\sqrt[3]{216}\ cm

x=6\ cm

<em>Find the value of y</em>

x=y-5

6=y-5

y=6+5=11\ cm

<em>Find the volume of the larger cube</em>

V=y^3

substitute the value of y

V=11^3

V=1,331\ cm^3

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