# Finding volumes, base area's, width, and height

• Sep 9th 2008, 08:28 PM
Melancholy
Finding volumes, base area's, width, and height
A) A box has volume 486 in.^3 and height 9 in. Find the area of the base.

B) A box has base area 3.60m^2, height 0.40m. Find the volume.

C) A box has a base area 2.40ft^2 and volume 2.88ft^3. Find the height.

D) A box has the volume 12,960cm^3, height 18 cm, and length 30cm. Find the width.

It's been way too long to remember! AhHH! Could you please help me? I don't remember how to find the area of the base, volume, height, or width of these kinds of problems.(Worried)
• Sep 9th 2008, 08:46 PM
Chris L T521
Quote:

Originally Posted by Melancholy
A) A box has volume 486 in.^3 and height 9 in. Find the area of the base.

Since $V=l\cdot w\cdot h$, and we know what volume is and what the height is, we need to solve for the area of the base $l\cdot w$. Thus, we see that $\frac{V}{h}=l\cdot w$. Plug in the known values and there's you're answer :D

Quote:

B) A box has base area 3.60m^2, height 0.40m. Find the volume.
Since $V=l\cdot w\cdot h$, and we know what height is and what the base area is, we see that $V=l\cdot w\cdot h\implies V=b\cdot h$, where the base area $b=l\cdot w$. Plug in the known values and there's you're answer :D

Quote:

C) A box has a base area 2.40ft^2 and volume 2.88ft^3. Find the height.
Since $V=l\cdot w\cdot h$, and we know what volume is and what the base area is, we see that $\frac{V}{\l\cdot w}=h\implies h=\frac{V}{b}$, where the base area $b=l\cdot w$. Plug in the known values and there's you're answer :D

Quote:

D) A box has the volume 12,960cm^3, height 18 cm, and length 30cm. Find the width.

It's been way too long to remember! AhHH! Could you please help me? I don't remember how to find the area of the base, volume, height, or width of these kinds of problems.(Worried)
Since $V=l\cdot w\cdot h$, and we know what the volume, height, and length is, we see that $\frac{V}{l\cdot h}=w$. Plug in the known values and there's you're answer :D

I hope this all makes sense! (Sun)

If you need me to clarify something, feel free to ask.

--Chris
• Oct 20th 2008, 04:32 AM
Death_Eater
Just a bit of clarification needed please
Hi Chris,

With the equations above what would the symbols be under the divide line,

I have to find the the width of a rectangle with,

1000m-3, length 28m, depth 2m.

this maybe quite simple stuff but i`m pulling my hair out at the mo,

any help would be great,

Steve.