Question

Todd's cube has an edge that measures

5 inches. Kara's cube has an edge of
3 inches. If Kara's cube was stacked
on top of Todd's cube, what would
be the total volume of the combined
solid?
​

Answer 1

The volume of the combined solid is
`152\ in^(3)`

Explanation:

we know that

The total volume of the combined solid is equal to the volume of Todd's cube plus the volume of Kara's cube

The volume of the cube is equal to

`V=b^(3)`

where

b is the length side of the cube

step 1

Find the volume of Todd's cube

we have

`b=5\ in`

substitute the value

`V=5^(3)=125\ in^(3)`

step 2

Find the volume of Kara's cube

we have

`b=3\ in`

substitute the value

`V=3^(3)=27\ in^(3)`

step 3

Find the volume of the combined solid

`125\ in^(3)+27\ in^(3)=152\ in^(3)`