## Welcome to H3 Maths

Blog Support for Growing Mathematicians

## Posts tagged with volumes

### Is there a difference between Logic and Mathematics?

November13

Yes, there is a difference between Logic and Mathematics. David Joyce, Professor of Mathematics at Clark University makes the distinction like this – “Mathematics studies numbers, geometry, and form.  Those require definitions and axioms to characterize the subjects of study.  Logic is used to prove properties based on those definitions and axioms. Logic can also […]

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### Can’t solve it? Sketch it first!

November7

When learning how to calculate surface area and volume of 3D shapes, students are often given a list of formulas without any explanation of the formulas. So when given the following problem, Find the total volume of a rectangular prism with base side lengths of 6 cm and whose height is 8 cm. Knowing the […]

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### Calculating Volume of a Cylinder

October3

I still find that the easiest way to find any volume is to use the formula: Volume = End Area x Length (or height) Click on the cylinder above to see the interactive website and solution steps.

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### Solving another Volume problem…

May28
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#### Post Support

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]