1) surface of a rectangular prism=2(length x width)+2(length x height)+2(width x height)
Therefore: 148 cm²=2(5 cm x 4 cm)+2(5 cm x h)+2(4 cm x h)= 148 cm²=40 cm²+10 cm h+8 cm h 18 cm h=148 cm²-40 cm² 18 cm h=108 cm² h=108 cm² / 18 cm=6 cm.
height=6 cm
2) Volume of a rectangular prism= length x width x height therefore: 34 cm³=(1.7 cm)(0.5 cm) h 0.85 cm² h=34 cm³ h=34 cm³/0.85 cm² h=40 cm.
height=40 cm
3) volume of a cylinder: πr²h therefore. 118.79 ft³=πr²(5 ft) r=√(118.79 ft³/5π ft)≈2.75 ft
radius=2.75 ft
4)
Surface area of the pyramid with square base=4(A side)+A base A side=(1/2)(8ft)(12 ft)=48 ft² A base=(8 ft)(8 ft)=64 ft²
surface area=4(48 ft²)+64 ft²=256 ft²
the surface area of this pyramid would be 256 ft².
5) surface of a cone=πrs+πr² therefore: radius=diameter/2=6.2 ft/2=3.1 ft 63.3 ft²=π(3.1 ft) s+π(3.1 ft)² 3.1π ft s=33.109 ft² s=33.109 ft² /3.1π ft s≈3.4 ft
the slant height would be 3.4 ft.
6) volume of a square pyramid=(area of base x heigth)/3 therefore: area of base=(6 ft)(6 ft)=36 ft² 126.97 ft³=36 ft² h /3 h=126.97 ft³/12 ft²=10.58 ft
the height would be 10.58 ft.
7) volume of a cone =(base x height)/3 base of a cone=πr² therefore: 199.23 cm³=πr²(9 cm)/3 r=√(199.23 cm³ / 3π cm)≈4.6 cm
1) surface of a rectangular prism=2(length x width)+2(length x height)+2(width x height)
Therefore: 148 cm²=2(5 cm x 4 cm)+2(5 cm x h)+2(4 cm x h)= 148 cm²=40 cm²+10 cm h+8 cm h 18 cm h=148 cm²-40 cm² 18 cm h=108 cm² h=108 cm² / 18 cm=6 cm.
height=6 cm
2) Volume of a rectangular prism= length x width x height therefore: 34 cm³=(1.7 cm)(0.5 cm) h 0.85 cm² h=34 cm³ h=34 cm³/0.85 cm² h=40 cm.
height=40 cm
3) volume of a cylinder: πr²h therefore. 118.79 ft³=πr²(5 ft) r=√(118.79 ft³/5π ft)≈2.75 ft
radius=2.75 ft
4)
Surface area of the pyramid with square base=4(A side)+A base A side=(1/2)(8ft)(12 ft)=48 ft² A base=(8 ft)(8 ft)=64 ft²
surface area=4(48 ft²)+64 ft²=256 ft²
the surface area of this pyramid would be 256 ft².
5) surface of a cone=πrs+πr² therefore: radius=diameter/2=6.2 ft/2=3.1 ft 63.3 ft²=π(3.1 ft) s+π(3.1 ft)² 3.1π ft s=33.109 ft² s=33.109 ft² /3.1π ft s≈3.4 ft
the slant height would be 3.4 ft.
6) volume of a square pyramid=(area of base x heigth)/3 therefore: area of base=(6 ft)(6 ft)=36 ft² 126.97 ft³=36 ft² h /3 h=126.97 ft³/12 ft²=10.58 ft
the height would be 10.58 ft.
7) volume of a cone =(base x height)/3 base of a cone=πr² therefore: 199.23 cm³=πr²(9 cm)/3 r=√(199.23 cm³ / 3π cm)≈4.6 cm
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