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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)m2m2
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Surface Area of a Rectangular Prism
SA=2×(width×height+depth×height+width×depth)SA=2×(width×height+depth×height+width×depth)Labelling the given lengths
width=2width=2height=10height=10depth=2depth=2Use the formula to find the surface areaSASA == 2×(width×height+depth×height+width×depth)2×(width×height+depth×height+width×depth) Surface area of a Rectangular Prism formula == 2×(10×2+2×2+10×2)2×(10×2+2×2+10×2) Plug in the known lengths == 8888 Simplify == 88 m288 m2 The given measurements are in metres, so the surface area is measured as metres squaredVolume=88 m2=88 m2 -
Question 2 of 7
2. Question
What is the volume of this cube?
- Volume== (27)cm3cm3
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Volume of a Cube
V=s3V=s3Labelling the given lengths
side=3side=3Use the formula to find the volumeVV == s3s3 Volume of a cube formula == 3333 Plug in the known lengths == 2727 Simplify == 27 cm327 cm3 The given measurements are in centimetres, so the volume is measured as centimetres cubedVolume=27 cm3=27 cm3 -
Question 3 of 7
3. Question
What is the surface area of this Rectangular Prism?
- Surface Area== (532)m2m2
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Surface Area of a Rectangular Prism
SA=2×(width×height+depth×height+width×depth)SA=2×(width×height+depth×height+width×depth)Labelling the given lengths
width=14width=14height=8height=8depth=7depth=7Use the formula to find the surface areaSASA == 2×(width×height+depth×height+width×depth)2×(width×height+depth×height+width×depth) Surface area of a Rectangular Prism formula == 2×(14×8+7×8+14×7)2×(14×8+7×8+14×7) Plug in the known lengths == 532532 Simplify == 532 m2532 m2 The given measurements are in metres, so the surface area is measured as metres squaredVolume=532 m2=532 m2 -
Question 4 of 7
4. Question
What is the volume of this cone?
Round your answer to 22 decimal placesUse π≈3.14π≈3.14- Volume== (75.36)mm3mm3
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Volume of a Cone
V=13×π×radius2×heightV=13×π×radius2×heightLabelling the given lengths
height=8height=8radius=3radius=3Use the formula to find the volumeπ≈3.14π≈3.14VV == 13×π×radius2×height13×π×radius2×height Volume of a cone formula == 13×3.14×32×813×3.14×32×8 Plug in the known lengths == 13×3.14×9×813×3.14×9×8 Simplify == 75.36 mm375.36 mm3 The given measurements are in millimetres, so the volume is measured as millimetres cubedVolume=75.36 mm3=75.36 mm3 -
Question 5 of 7
5. Question
What is the volume of this sphere?
Round your answer to 22 decimal placesUse π≈3.14π≈3.14- Volume== (2143.57)cm3cm3
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Volume of a Cone
V=43×π×radius3V=43×π×radius3Labelling the given lengths
radius=8radius=8Use the formula to find the volumeπ≈3.14π≈3.14VV == 43×π×radius343×π×radius3 Volume of a sphere formula == 43×3.14×8343×3.14×83 Plug in the known lengths == 43×3.14×51243×3.14×512 Simplify == 2,143.57 cm32,143.57 cm3 Rounded to 2 decimal places The given measurements are in centimetres, so the volume is measured as centimetres cubedVolume=2,143.57 cm3=2,143.57 cm3 -
Question 6 of 7
6. Question
What is the surface area of this cube?
- Surface Area== (726)mm2mm2
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Surface Area of a Cube
SA=6×side2SA=6×side2Labelling the given lengths
side=11side=11Use the formula to find the surface areaSASA == 6×side26×side2 Surface area of a cube formula == 6×1126×112 Plug in the known lengths == 6×1216×121 Simplify == 726726 == 726 mm2726 mm2 The given measurements are in millimetres, so the surface area is measured as millimetres squaredVolume=726 mm2=726 mm2 -
Question 7 of 7
7. Question
What is the volume of this Rectangular Prism?
- Volume== (432)cm3cm3
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Volume of a Rectangular Prism
V=height×width×depthV=height×width×depthLabelling the given lengths
height=4height=4width=12width=12depth=9depth=9Use the formula to find the volumeVV == height×width×depthheight×width×depth Volume of a Rectangular Prism formula == 4×12×94×12×9 Plug in the known lengths == 432432 == 432 cm3432 cm3 The given measurements are in centimetres, so the volume is measured as centimetres cubedVolume=432 cm3=432 cm3
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