Years
>
Year 9>
Surface Area and Volume>
Surface Area and Volume Mixed Review>
Surface Area and Volume Mixed Review 1Surface Area and Volume Mixed Review 1
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 7 questions completed
Questions:
- 1
- 2
- 3
- 4
- 5
- 6
- 7
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- Answered
- Review
-
Question 1 of 7
1. Question
What is the surface area of this Rectangular Prism?
- Surface Area`=` (88)`m^2`
Correct
Keep Going!
Incorrect
Surface Area of a Rectangular Prism
`SA= 2 xx (color(royalblue)(text(width)) xx color(green)(text(height)) + color(orange)(text(depth)) xx color(green)(text(height)) + color(royalblue)(text(width)) xx color(orange)(text(depth)))`Labelling the given lengths
`color(royalblue)(text(width)=2)``color(green)(text(height)=10)``color(orange)(text(depth)=2)`Use the formula to find the surface area`SA` `=` `2 xx (color(royalblue)(text(width)) xx color(green)(text(height)) + color(orange)(text(depth)) xx color(green)(text(height)) + color(royalblue)(text(width)) xx color(orange)(text(depth)))` Surface area of a Rectangular Prism formula `=` `2 xx (color(royalblue)(text(10)) xx color(green)(text(2)) + color(orange)(text(2)) xx color(green)(text(2)) + color(royalblue)(text(10)) xx color(orange)(text(2)))` Plug in the known lengths `=` `88` Simplify `=` `88 \ m^2` The given measurements are in metres, so the surface area is measured as metres squaredVolume`=88 \ m^2` -
Question 2 of 7
2. Question
What is the volume of this cube?
- Volume`=` (27)`cm^3`
Correct
Keep Going!
Incorrect
Volume of a Cube
`V=color(darkviolet)(s)^3`Labelling the given lengths
`color(darkviolet)(\text(side)=3)`Use the formula to find the volume`V` `=` `color(darkviolet)(s)^3` Volume of a cube formula `=` `color(darkviolet)(3)^3` Plug in the known lengths `=` `27` Simplify `=` `27 \ cm^3` The given measurements are in centimetres, so the volume is measured as centimetres cubedVolume`=27 \ cm^3` -
Question 3 of 7
3. Question
What is the surface area of this Rectangular Prism?
- Surface Area`=` (532)`m^2`
Correct
Keep Going!
Incorrect
Surface Area of a Rectangular Prism
`SA= 2 xx (color(royalblue)(text(width)) xx color(green)(text(height)) + color(orange)(text(depth)) xx color(green)(text(height)) + color(royalblue)(text(width)) xx color(orange)(text(depth)))`Labelling the given lengths
`color(royalblue)(text(width)=14)``color(green)(text(height)=8)``color(orange)(text(depth)=7)`Use the formula to find the surface area`SA` `=` `2 xx (color(royalblue)(text(width)) xx color(green)(text(height)) + color(orange)(text(depth)) xx color(green)(text(height)) + color(royalblue)(text(width)) xx color(orange)(text(depth)))` Surface area of a Rectangular Prism formula `=` `2 xx (color(royalblue)(text(14)) xx color(green)(text(8)) + color(orange)(text(7)) xx color(green)(text(8)) + color(royalblue)(text(14)) xx color(orange)(text(7)))` Plug in the known lengths `=` `532` Simplify `=` `532 \ m^2` The given measurements are in metres, so the surface area is measured as metres squaredVolume`=532 \ m^2` -
Question 4 of 7
4. Question
What is the volume of this cone?
Round your answer to `2` decimal placesUse `pi~~3.14`- Volume`=` (75.36)`mm^3`
Correct
Keep Going!
Incorrect
Volume of a Cone
`V=1/3 xx pi xx color(royalblue)(\text(radius)^2) xx color(darkviolet)(\text(height))`Labelling the given lengths
`color(darkviolet)(\text(height)=8)``color(royalblue)(\text(radius)=3)`Use the formula to find the volume`pi~~3.14``V` `=` `1/3 xx pi xx color(royalblue)(\text(radius)^2) xx color(darkviolet)(\text(height))` Volume of a cone formula `=` `1/3 xx 3.14 xx color(royalblue)(3^2) xx color(darkviolet)(8)` Plug in the known lengths `=` `1/3 xx 3.14 xx 9 xx 8` Simplify `=` `75.36 \ mm^3` The given measurements are in millimetres, so the volume is measured as millimetres cubedVolume`=75.36 \ mm^3` -
Question 5 of 7
5. Question
What is the volume of this sphere?
Round your answer to `2` decimal placesUse `pi~~3.14`- Volume`=` (2143.57)`cm^3`
Correct
Keep Going!
Incorrect
Volume of a Cone
`V=4/3 xx pi xx color(royalblue)(\text(radius)^3)`Labelling the given lengths
`color(royalblue)(\text(radius)=8)`Use the formula to find the volume`pi~~3.14``V` `=` `4/3 xx pi xx color(royalblue)(\text(radius)^3)` Volume of a sphere formula `=` `4/3 xx 3.14 xx color(royalblue)(8^3)` Plug in the known lengths `=` `4/3 xx 3.14 xx 512` Simplify `=` `2,143.57 \ cm^3` Rounded to 2 decimal places The given measurements are in centimetres, so the volume is measured as centimetres cubedVolume`=2,143.57 \ cm^3` -
Question 6 of 7
6. Question
What is the surface area of this cube?
- Surface Area`=` (726)` mm^2`
Correct
Keep Going!
Incorrect
Surface Area of a Cube
`SA= 6 xx color(royalblue)(text(side))^2`Labelling the given lengths
`color(royalblue)(\text(side)=11)`Use the formula to find the surface area`SA` `=` `6 xx color(royalblue)(text(side))^2` Surface area of a cube formula `=` `6 xx color(royalblue)(text(11))^2` Plug in the known lengths `=` `6 xx 121` Simplify `=` `726` `=` `726 \ mm^2` The given measurements are in millimetres, so the surface area is measured as millimetres squaredVolume`=726 \ mm^2` -
Question 7 of 7
7. Question
What is the volume of this Rectangular Prism?
- Volume`=` (432)`cm^3`
Correct
Keep Going!
Incorrect
Volume of a Rectangular Prism
`V=color(royalblue)(\text(height)) xx color(darkviolet)(\text(width))xx color(green)(\text(depth))`Labelling the given lengths
`color(royalblue)(\text(height)=4)``color(darkviolet)(\text(width)=12)``color(green)(\text(depth)=9)`Use the formula to find the volume`V` `=` `color(royalblue)(\text(height)) xx color(darkviolet)(\text(width))xx color(green)(\text(depth))` Volume of a Rectangular Prism formula `=` `color(royalblue)(\text(4)) xx color(darkviolet)(\text(12))xx color(green)(9)` Plug in the known lengths `=` `432` `=` `432 \ cm^3` The given measurements are in centimetres, so the volume is measured as centimetres cubedVolume`=432 \ cm^3`
Quizzes
- Volume of Shapes 1
- Volume of Shapes 2
- Volume of Shapes 3
- Volume of Shapes 4
- Volume of Composite Shapes 1
- Volume of Composite Shapes 2
- Surface Area of Shapes 1
- Surface Area of Shapes 2
- Surface Area of Shapes 3
- Surface Area and Volume Mixed Review 1
- Surface Area and Volume Mixed Review 2
- Surface Area and Volume Mixed Review 3
- Surface Area and Volume Mixed Review 4