Surface Area and Volume

Question 1

What is the area formula for a circle, semi-circle and quad circle?

Answer 1

Circle = πr2
Semi-circle = πr2 ÷ 2
Quater-circle = πr2 ÷ 4

Question 2

What is the perimeter/circumference formula for circle, semi-circle and quad circle?

Answer 2

Circle = πd
Semi-circle = πd ÷ 2
Quater-circle = πd ÷ 4

Question 3

What is the area formula for a trapezium, parallelogram, kite and triangle?

Answer 3

Paralellogram = B x H
Triangle = ½ b x h
Trapezium = ½ (a+b) x H
Kite = PQ/2

Question 4

How do you find unknown perimeter lengths?

Answer 4

To find unknown perimeter length look at its opposite side then take that away from your side.

Question 5

Recall what do nets look like for cube, rectangle (prism), triangle (rectangular prism), cylinder?

Answer 5

Recall

Question 6

How do you find the SA of a cylinder?

Answer 6

When finding the SA for a cylinder, first find the area of each circle, then to figure out the length of the rectangle by finding the circumference of the circle. Then plus them all together.

Question 7

What is the method when figuring out SA?

Answer 7

To find the SA of a shape draw its net, then find the area for each part of the net then total the areas all together.

Question 8

How do you find the height of a cylinder if given the total SA?
Say the steps out loud

Answer 8

To find the height we need to ‘undo’, therefore divide by using SADMOB.

Question 9

What is the formula for volume?

Answer 9

V = AH

Question 10

What is the formula for volume for rectangular prism, cylinder and triangular prism?

Answer 10

Rectangular Prism: L x W x H, Cylinder: Πr2 x H, Triangular Prism: ½ B x H x H

Question 11

How do you convert units of volume?

Answer 11

To convert 10mm cubed into cm you need to divide by 10 cubed to get cm then to get meters divide by 100 cubed and so on the same except multiply to get meters cubed to mm cubed. Don’t forget to cube the 10, 100 and 1000.

Question 12

How do you find the height of a rectangular prism if given the total volume?

Answer 12

Step 1: Write out V = Shapes area formula
Step 2: Write out the answer, 420 = (12 x 5) x H
Step 3: Find the answer to the numbers you have, 420/60 = 60/60 x H

Question 13

How do you find the area of a sector?

Answer 13

A = (degree/360) x pie x r2

Question 14

How do you get m cube to litres?

And how do you get cm cube to ml?

Answer 14

To get m cube to L times it by 1000

To get cm to ml times it by 1