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Surface Area and Volume Mixed Review>
Surface Area and Volume Mixed Review 1Surface Area and Volume Mixed Review 1
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Question 1 of 7
1. Question
What is the surface area of this Rectangular Prism?
- Surface Area`=` (88)`m^2`
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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`
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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`
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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`
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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`
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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`
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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`
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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