Math Is Fun Forum

Stefani

Member

Registered: 2009-04-29

Posts: 3

Area and Volume

1. Cube: Total surface area = 486 cm squared
a) Area of one face = 81cm squared?
b) Length of one edge =
c) What is it's volume? =

2. The water tanker is able to carry a maximum of 5 tonnes up a hill. Will it be able to make it up the hill if the tanker is full of water?
(The tank is cylindrical; length 4.5m, diameter 1.4m) Have an answer already, but it looks very wrong.

3. Dump truck:
a) Volume of the tray? (Tray is rectangular shaped, with length 6m, width 2.4m, depth 1.5m) I got 21.6m cubed.
b) Total volume that can be carried if 'heaping' the truck's load adds 10% to the truck's capacity?
c) How many heaped truckloads would be needed to shift 500m cubed of gravel?

I got 23.76 for b), and 22 truckloads for c).

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Area and Volume

Hi Stefani;

Length of one edge = 9 cm

Volume = 729 cm^3

2)

Volume of the tank = 6.927211 m^3

Def: A cubic meter of pure water at four degrees Celsius weighs 1,000 kilograms, or one tonne (a metric ton).

The weight of the tank when filled with water is 6.92 tonnes. So it won't make it up the hill.

3a) You are correct!

3b) You are correct! 21.6 + 2.16 = 23.76 m^3

3c) That's what I get.

Last edited by bobbym (2009-11-01 11:05:25)

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.