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Surface Area and Volume Mixed Review>
Surface Area and Volume Mixed Review 4Surface Area and Volume Mixed Review 4
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Question 1 of 5
1. Question
What is the volume of this Rectangular Pyramid?
Round your answer to `2` decimal places- Volume`=` (498.67)`cm^3`
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Volume of a Rectangular Pyramid
`V=1/3 xx color(royalblue)(\text(length)) xx color(darkviolet)(\text(width))xx color(green)(\text(height))`Labelling the given lengths
`color(royalblue)(\text(length)=11)``color(darkviolet)(\text(width)=8)``color(green)(\text(height)=17)`Use the formula to find the volume`V` `=` `1/3 xx color(royalblue)(\text(length)) xx color(darkviolet)(\text(width))xx color(green)(\text(height))` Volume of a Rectangular Pyramid formula `=` `1/3 xx color(royalblue)(\text(11)) xx color(darkviolet)(\text(8))xx color(green)(\text(17))` Plug in the known lengths `=` `498.66667` `=` `498.67 \ cm^3` The given measurements are in centimetres, so the volume is measured as centimetres cubedVolume`=498.67 \ cm^3` -
Question 2 of 5
2. Question
What is the volume of this Rectangular Pyramid?
- Volume`=` (300)`m^3`
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Volume of a Rectangular Pyramid
`V=1/3 xx color(royalblue)(\text(length)) xx color(darkviolet)(\text(width))xx color(green)(\text(height))`Labelling the given lengths
`color(royalblue)(\text(length)=10)``color(darkviolet)(\text(width)=6)``color(green)(\text(height)=15)`Use the formula to find the volume`V` `=` `1/3 xx color(royalblue)(\text(length)) xx color(darkviolet)(\text(width))xx color(green)(\text(height))` Volume of a Rectangular Pyramid formula `=` `1/3 xx color(royalblue)(\text(10)) xx color(darkviolet)(\text(6))xx color(green)(\text(15))` Plug in the known lengths `=` `300` `=` `300 \ m^3` The given measurements are in metres, so the volume is measured as metres cubedVolume`=300 \ m^3` -
Question 3 of 5
3. Question
What is the volume of this sphere?
Round your answer to `2` decimal placesUse `pi~~3.14`- Volume`=` (11488.21)`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)=14)`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)(14^3)` Plug in the known lengths `=` `4/3 xx 3.14 xx 2744` Simplify `=` `11,488.21 \ cm^3` Rounded to 2 decimal places The given measurements are in centimetres, so the volume is measured as centimetres cubedVolume`=11,488.21 \ cm^3` -
Question 4 of 5
4. Question
What is the volume of this sphere?
Round your answer to `2` decimal placesUse `pi~~3.14`- Volume`=` (3052.08)`m^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)=9)`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)(9^3)` Plug in the known lengths `=` `4/3 xx 3.14 xx 729` Simplify `=` `3,052.08 \ m^3` Rounded to 2 decimal places The given measurements are in metres, so the volume is measured as metres cubedVolume`=3,052.08 \ m^3` -
Question 5 of 5
5. Question
What is the volume of this cylinder?
Round your answer to `2` decimal placesUse `pi~~3.14`- Volume`=` (10851.84)`mm^3`
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Volume of a Cylinder
`V=pi xx color(royalblue)(\text(radius)^2) xx color(darkviolet)(\text(height))`Labelling the given lengths
`color(darkviolet)(\text(height)=24)``color(royalblue)(\text(radius)=12)`Use the formula to find the volume`pi~~3.14``V` `=` `pi xx color(royalblue)(\text(radius)^2) xx color(darkviolet)(\text(height))` Volume of a cylinder formula `=` `3.14 xx color(royalblue)(12^2) xx color(darkviolet)(24)` Plug in the known lengths `=` `3.14 xx 144 xx 24` Simplify `=` `10,851.84 \ mm^3` Rounded to 2 decimal places The given measurements are in millimetres, so the volume is measured as millimetres cubedVolume`=10,851.84 \ mm^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