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ajread
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:confused:How can I find the volume of a cuboid when I know the area of its faces? Also, how can I find the dimensions of a cuboid when I know the perimeters of its faces? Can anyone help? Thanks.
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brianeverit
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(Original post by ajread)
:confused:How can I find the volume of a cuboid when I know the area of its faces? Also, how can I find the dimensions of a cuboid when I know the perimeters of its faces? Can anyone help? Thanks.
If the faces are squares you can square root the area to find the length of the sides or divide the perimeter by 4. If they are not squares it cannot be done without more information.
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ajread
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(Original post by brianeverit)
If the faces are squares you can square root the area to find the length of the sides or divide the perimeter by 4. If they are not squares it cannot be done without more information.
Thanks. The question says the cuboids faces have areas of 36cm2 24cm2 and 48cm2. Find its volume. I'm stumped! The other question says faces have perimeters 8cm, 6cm and 10cm. Find its dimensions.
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TenOfThem
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(Original post by ajread)
Thanks. The question says the cuboids faces have areas of 36cm2 24cm2 and 48cm2. Find its volume. I'm stumped! The other question says faces have perimeters 8cm, 6cm and 10cm. Find its dimensions.
ab = 36
bc = 24
ca = 48
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brianeverit
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(Original post by ajread)
Thanks. The question says the cuboids faces have areas of 36cm2 24cm2 and 48cm2. Find its volume. I'm stumped! The other question says faces have perimeters 8cm, 6cm and 10cm. Find its dimensions.
If the cuboid has edges of length x,y,z then the volume is xyz and the areas of the faces are xy,yz and zx so we can see that the product of the three areas is the square of the volume hence
volume =\sqrt(36 \times 24\times 48)
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