I Need Help with Math related questions!??

Question

A peice of metal has a mass of 520 g and a density of 2.6 g/cm3.

What is the volume of the piece of metal?

Help i suck at numbers

Next question:

An aquarium is 30 cm wide, 60 cm long, and is filled with water to a depth of 28 cm. What is the mass of the water in kg?

THANK YOU SO MUCH BOO!

Answer 1

learn this logic i use!

look at the question mass= 520 GRAMS

density = 2.6 GRAMS/METRE cube

what do we need? its volume whos unit is METRE cube

so from density u need to remove GRAMS and take reciprocal!

so to remove GRAMS u divide density by mass!

thats 2.6/520

then take reciprocal...

u get 520/2.6 METRE cube =200 METRE cube

same situation volume here is CENTIMETRE cube so multiply all

30*60*28=50400 cm cube density is 1gm/cm cube

therefore mass is 50400gm or 50.4 kgs

Answer 2

use dimensional analysis. you have mass, and mass/volume. To retrieve volume you need to divide mass by mass/volume. Hence you answer is 520/2.6=200

next first find the volume of water then multiply it by the density of the water to get the mass. Volume is 30*60*28=50400. The densityof water is 1g/cm^3 giving 50400g or 50.4kg as the mass of the water

Answer 3

density = mass/ volume

volume = mass / density

volume = 520 / 2.6

volume= 200cm3

second ques

volume of water in the tank = 30 * 60 * 28

                                       = 50400 cm3

density = mass/ volume

mass= density * volume

t 4°C pure water has a density (weight or mass) of about 1 g/cu.cm, 1 g/ml,

1 kg/litre, 1000 kg/cu.m, 1 tonne/cu.m or 62.4 lb/cu.ft

so mass = 1 * 50400

             = 50400 g

             =50.4 kg