Name ...........................................
6T Homework 14/10/16
Complete the table showing fraction decimal and percentage equivalents
Fraction in
Decimal
Percentage
simplest form
9/10
0.38
9%
24/25
0.45
60%
5/8
1.25
4.5%
Volume
1(a)
The height of a cuboid is 4cm.
The volume of the cuboid is 100cm3
What is the area of the shaded face?
(b)
................ cm2
The volume of another cuboid is 100cm3
None of its dimensions is 4cm.
What could the dimensions of this cuboid be?
................ cm by ................ cm by ................ cm
(c)
A prism has a cross-section that is a right-angled triangle.
Its volume is 100cm3
What could the dimensions of this prism be?
................ cm by ................ cm by ................ cm
2(a)
The diagram shows a cuboid.
What is the volume of this cuboid?
.................cm3
(b)
The volume of a different cuboid is half the volume of the cuboid in part (a).
What could the dimensions of this different cuboid be?
................ cm by ................ cm by ................ cm
3) The cuboid container below holds 12 litres of water when full.
One litre is 1000cm3
The inside length and width of the cuboid are 40cm and 20cm.
What is the inside height of the cuboid?
............................cm
4) Kaylee has some 1cm cubes.
She makes a solid cube with side length 6cm out of the cubes.
Then she uses all these cubes to make some cubes with side length 2cm.
How many of these 2cm cubes can Kaylee make?
..................
5a)
Look at the triangular prism.
Work out the volume of the prism.
........................ cm3
(b)
One face of another prism is made from 5 squares.
Each square has side length 3cm.
Work out the volume of the prism.
........................ cm2
7 (a)
What is the volume of this prism?
You must show each step in your working.
.......................... cm2
(b)
Prisms A and B have the same cross-sectional area.
Complete the table:
Prism A
Prism B
height
5cm
3cm
volume
200cm3
.....……..... cm3
8) This door wedge is the shape of a prism.
The shaded face of the door wedge is a trapezium.
a)
Calculate the area of the shaded face.
Show your working.
..................cm2
b) What is the volume of the door wedge?
Show your working
..............................cm3
All of these weeks homework is quite challenging but if you are up for it here is a
Super Challenge!
Here are the dimensions of a solid gold bar.
Use the information below to calculate how much this gold bar is worth in British pounds (£).
•
The gold bar is a cuboid.
•
The density of gold is 19.3 grams per cm3
•
1 ounce is 28.35 grams.
•
The price of gold is 670 US dollars per ounce.
•
1 US dollar is 0.508 British pounds.
£...........................
Homework due in by Wednesday 19th October