Perimeter and Area
If a rectangle has a perimeter of 16cm, what could the sides be?
5 cm and 3 cm
6 cm and 2 cm
7 cm and 1 cm
Convert 105m into cm.
100 cm are in a meter so 105 x 100 / 10,500 cm
What does h stand for in the formula 'volume = h x breath x length'?
Height
What is the area of a triangle with a height of 3cm and a base of 7cm?
1/2(b x h)
3 x 7 = 21
21 ÷ 2 = 10.5cm2
What would you use to measure how much detergent to put in the washing machine? mL or L?
mL
9.5 + 9.5 + 2 + 2 = 22cm
Convert 124cm into mm.
10mm are in a cm
so
124 x 10 = 1240mm
h = 2m / b = 2m / L = 4m
What is the volume?
2 x 2 x 4 = 16m3
What shape has the same formula to calculate the area as a rectangle?
A parallelogram!
Convert 4391cm into m.
100cm in 1m, so 4391 ÷ 100 = 43.91m
A quadrilateral has an area of 16m2 and a perimeter of 16m. What type of shape is it?
A square, 4 x 4 = 16m2, 4 + 4 + 4 + 4 = 16m
1km = 1000m
so
0.27 x 1000 = 270m
Explain what volume is using appropriate language.
Something like --> Volume refers to the amount of space the object takes up.
What instrument did we use to draw triangles when we know the length of the sides?
A compass.
How many mm are in a km?
1,000,000mm in 1km
A compound shape is made with two rectangles. A has sides of 6cm and 9cm. B has sides of 4cm and 13cm. What is the area?
6 x 9 = 54 / 4 x 13 = 52 / 52 + 56 = 108cm2
Convert 12,513g to kg.
1000g = 1kg
so
12,513 ÷ 1000 = 12,513kg
The volume of a container is 540cm3. h = 12cm and b = 9 cm. What is the L?
540 ÷ 9 = 60
60 ÷ 12 = 5cm
If a parallelogram has a perimeter of 70cm and the height is 24cm, what is the base?
24 + 24 = 48 / 70 - 48 = 22 / 22÷ 2 = 11cm
11 + 11 + 24 + 24 = 70cm
What is the difference between volume and capacity?
Volume indicates the total amount of space covered by an object in three-dimensional space. Capacity refers to the ability of something (like a solid substance, gas or liquid) to hold, absorb or receive by an object. Both solid and hollow objects have volume. Only hollow objects have the capacity.
A compound shape of 2 identical rectangles and 1 square, with sides of 9cm, have an area of 137cm2. What could the the sides of the IDENTICAL RECTANGLES be?
9 x 9 = 81cm2 / 137-81=56 / 56 ÷ 2 = 28
Each area has an area of 28cm2. What are the factors of 28?
Convert 312.97m into mm.
There are 100cm in a m AND 10mm in a cm
so
312.97 x 1000 = 31,2970mm
A fish tank has the dimensions, h=4m / b=3m / l=6m. How much water can the tank hold? Remember, 1m3 = 1000ml!
72,000ml
A parallelogram has an area of 78cm2 and a perimeter of 38cm. What are the dimensions of the sides?
13 x 6 = 78
13 + 13 + 6 + 6 = 38
A compound shape made from a rectangle and a square has an area of 40cm2. What could the lengths of the sides be?
(4x4) + (8x3)