# Math Help - Volume

1. ## Volume

Cameron has decided to dig out a swimming pool in his backyard with the dimensions outlined below. Unfortunantly, he had only one rectangular barrow (dimensions 60 cm x 50 cm x 30 cm) to move the dirt out to the front yard where a local garden supplies company will pick it up.

Diagram not drawn to scale!
a) if the barrow is filled level with it’s top, what volume of soil can it carry?
Well I did on my calculator 60 by 50 by 30 and I got 90,000 is that possibly right?
b) what volume, in cm3 of soil has to be removed from the pool?
Would it be 1.2 by 7.5 by 14.5 by 2.3 by 5m?
c) How many Trips are required with the barrow?

2. Find the Enclosed area of the following shapes. Use the value of Pie on your calculator. Round your final answers to two decimal places.

3. Originally Posted by Sazza
Cameron has decided to dig out a swimming pool in his backyard with the dimensions outlined below. Unfortunantly, he had only one rectangular barrow (dimensions 60 cm x 50 cm x 30 cm) to move the dirt out to the front yard where a local garden supplies company will pick it up.

Diagram not drawn to scale!
a) if the barrow is filled level with it’s top, what volume of soil can it carry?
Well I did on my calculator 60 by 50 by 30 and I got 90,000 is that possibly right?
correct. and of course, your units is cm^3 here

b) what volume, in cm3 of soil has to be removed from the pool?
Would it be 1.2 by 7.5 by 14.5 by 2.3 by 5m?
no. see the diagram below. look where i drew the red line. the volume of the pool is the volume of the box plus the volume of the triangular prism at the bottom. now what do you think the volume is?

c) How many Trips are required with the barrow?
the answer to this question depends on (b), when you find your answer for that, we'll continue

4. Originally Posted by Sazza
Find the Enclosed area of the following shapes. Use the value of Pie on your calculator. Round your final answers to two decimal places.

for maths 2. obviously the total area is the area of the triangle plus the area of (what seems to be) the semi-circle.

the area of a triangle is $\frac 12 \mbox {base} \times \mbox {height}$

the area of the semi-circle is $\frac 12 \pi r^2$, where $r$ is the radius

5. The Shape below is a trapezium. The rule for finding the area of a trapezium is A= h/2 (a+b) where a and b are the parallel sides and h is the height.
The lines PQ and SR are parallel and are 6 cm apart. T is the midpoint of QR. Find the area of the shaded region PSRT in Square Centimetres.

6. uhh for Question b) would it be 33.5?

7. Originally Posted by Sazza
uhh for Question b) would it be 33.5?