How much will a cube shaped box hold if each side measures 3.5ft
1 answer:
Answer:
A cube shaped box can hold 42.875 cubic ft if each side measures 3.5ft
Step-by-step explanation:
We have given a cube shaped box.
Each side of a cube measures 3.5ft
A cube shaped box can hold up-to its maximum volume capacity.
That means , we need to find the volume of cube.
volume of cube =
Here side = 3.5 ft
So, volume of cube =
Volume of cube = 42.875 cubic ft
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Given;
Preimeter of QRST = Perimeter of LMNP
Perimeter of LMNP = 17x
So,
Perimeter of QRST LMNP = 17x
Now,
Length of QRST = 2x + 9
Width = ?
We know,
Perimeter = 2 (l + w)
17 x = 2 (2 x + 9 + w)
17 x = 4 x + 18 + 2 w
17 x -4 x - 18 = 2 w
13 x - 18 = 2 w
w = (13 x - 18) / 2
<-- our answer
Preimeter of QRST = Perimeter of LMNP
Perimeter of LMNP = 17x
So,
Perimeter of QRST LMNP = 17x
Now,
Length of QRST = 2x + 9
Width = ?
We know,
Perimeter = 2 (l + w)
17 x = 2 (2 x + 9 + w)
17 x = 4 x + 18 + 2 w
17 x -4 x - 18 = 2 w
13 x - 18 = 2 w
w = (13 x - 18) / 2