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Easy question but i have brain freeze!
A box with a volume of 600cm^3 (5cm deep, 10cm length and 12cm width) has a inner cavity of volume 300cm^3. the thickness of the container walls and of the base is x cm.
(a) the box is 5cm deep write down, in terms of x, an expression for the depth of the inner cavity.
(b) Obtain, in terms of x, an expression for the volume of the inner cavity.
Can anyone help?
Thanks,
Dan
(a) the box is 5cm deep write down, in terms of x, an expression for the depth of the inner cavity.
(b) Obtain, in terms of x, an expression for the volume of the inner cavity.
Can anyone help?
Thanks,
Dan
dantheram
how do we know that the cavity has a length and width that are minus twice the depth?
Since you know the thickness of the wall is 'x', you have to subtract it twice to get the length and width of the inner cavity since the walls on BOTH sides of the inner cavity are x thick.
For example, and disregard the bad drawing, if that picture below was the box, the | would represent the outer walls of the box, and the ! would represent the boundary of the inner cavity.
| ! ! |
| ! ! |
In that drawing, thickness of the walls (| - !) has to be subtracted twice because the walls on each side are (| - !) thick.
pokerplayer1191
Since you know the thickness of the wall is 'x', you have to subtract it twice to get the length and width of the inner cavity since the walls on BOTH sides of the inner cavity are x thick.
For example, and disregard the bad drawing, if that picture below was the box, the | would represent the outer walls of the box, and the ! would represent the boundary of the inner cavity.
| ! ! |
| ! ! |
In that drawing, thickness of the walls (| - !) has to be subtracted twice because the walls on each side are (| - !) thick.
For example, and disregard the bad drawing, if that picture below was the box, the | would represent the outer walls of the box, and the ! would represent the boundary of the inner cavity.
| ! ! |
| ! ! |
In that drawing, thickness of the walls (| - !) has to be subtracted twice because the walls on each side are (| - !) thick.
thank you,
dan
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